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Dr. Bidu Bhusan Jena

Assistant Professor (Mathematics)

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bidu.j@srisriuniversity.edu.in

Date of Birth: July 10, 1988

Place of Birth: Bhograi (District Balasore), Odisha, India

Academic Degrees Awarded:

  • B. Sc. (Fakir Mohan University)
  • M.Sc. (Ravenshaw University)
  • Ph. D (Veer Surendra Sai University of Technology)

Award

  • University Doctoral Fellowship (2014-2018)

Members

  • Odisha Mathematical Society
  • Indian Mathematical Society

Current Research Interests:

  • Summability Theory
  • Fourier Series
  • Signal Analysis
  • Statistical Convergence
  • Numerical Functional Analysis
  • Nonlinear and Inverse Problems
  • Fractional Calculus
  • Approximation Theory
  • Mathematical Physics
  • Biomathematics

Most Recent Publications:

This list does not include all publications, particularly refereed and peer-reviewed articles published in international scientific journals.

I. Refereed Journal Articles

  • P. Parida, B. B. Jena, S. K. Paikray and M. Mursaleen, On fuzzy approximation theorems for functions of two variables via statistical deferred Norlund summability, Iranian Journal of Fuzzy Systems, 23 (2026), 17-35.
  • H. M. Srivastava, B. B. Jena and S. K. Paikray, Deferred Cesaro summability and Korovkin-type approximation theorems for double sequences on time scales, Axioms, 15 (2026), Article ID 269.
  • S. C. Mahapatra, B. B. Jena, S. K. Paikray and M. Mursaleen, Korovkin-type theorems via statistical derivatives of deferred Nörlund summability, Sahand Communications in Mathematical Analysis, 23 (2026), 245-273.
  • H. M. Srivastava, B. B. Jena, S. K. Paikray and U. K. Misra, Korovkin-type approximation theorems for statistical gauge integrable functions of two variables, Stats, 8 (2025),1-27, Article ID 118.
  • S. Sonker, N. Devi, B. B. Jena and S. K. Paikray, Analysis of Euler-Banach operator to approximate the function using Its Fourier series, Problemy Analiza – Issues of Analysis, 14 (2025), 117–126.
  • A. Satapathy, B. B. Jena, T. Pradhan and S. K. Paikray, Approximation of signals in weighted Zygmund class via almost Norlund means Of conjugate Fourier series, Palestine Journal of Mathematics, 14 (2025), 1005-1015. 
  • S. C. Mahapatra, B. B. Jena, S. K. Paikray and M. Mursaleen, Fuzzy approximation theorems via statistical deferred Norlund, Riemann integrability, Filomat, 39 (2025), 9609-9625.
  • S. Sonker, B. B. Jena, P. Sangwan and S. K. Paikray, Approximation of signals belonging to $w'(l^p, \xi (t))$ class by generalized $(c^{\alpha, \eta}. e^{1}. e^{1})$ means, Boletim Sociedade Paranaense de Matematica, 43 (2025), 1–13.
  • A. Satapathy, B. B. Jena and S. K. Paikray, A new class of Korovkin-type approximation theorems based on equi-statistical convergence of double sequences, Filomat, 39 (2025), 6453–6471. 
  • B. B. Jena, S. K. Paikray and M Mursaleen, Statistical gauge integrable functions and Korovkin-type approximation theorems, Bulletin of the Iranian Mathematical Society, 51 (2025), Article ID 47.
  • H. M. Srivastava, B. B. Jena, S. K. Paikray and  U. K. Misra, Korovkin-type theorems for positive linear operators based on the statistical derivative of deferred Cesàro summability, Algorithms, 18 (2025), 1-21, Article ID 218.
  • H. M. Srivastava, B. B. Jena and S. K. Paikray, A New Class of Korovkin-type theorems on double sequences, Iranian Journal of Science, (2025). 49 (2025), 1103-1114.
  • A. Satapathy, B. B. Jena and S. K. Paikray, Korovkin-type approximation theorems for positive linear operators via statistical martingale sequences, Boletim Sociedade Paranaense de Matematica, 43 (2025), 1–12.
  • B. B. Jena, P. Parida and S. K. Paikray, Tauberian theorem for general matrix summability method, Ural Mathematical Journal, 10 (2024), 81-91.
  • S. Sonker, P. Sangwan, B. B. Jena and S. K. Paikray, Approximation and simulation of signal belongs to the generalized weighted Lipschitz class by product transform, Bistua: Revista de la Facultad de Ciencias Básicas, 22 (2024), 1-12.
  • S. Sonker, P. Moond, B. B. Jena and S. K. Paikray, Convergence behavior of modified-Bernstein-Kantrovinch-Stancu operators, Journal of Nonlinear Analysis and Optimization, 15 (2024), 1-10.
  • H. Dutta, B. B. Jena, N. P. Pahari and S. K. Paikray, On certain statistical convergence criteria for martingale sequence via deferred Cesaro mean with some application, Journal of Nepal Mathematical Society, 7(2024), 40-60.
  • J. Sahoo, B. B. Jena and S. K. Paikray, On strong summability of the Fourier series via deferred Reisz mean, Problemy Analiza – Issues of Analysis, 13 ( 2024), 128-143.
  • B.B. Jena, S. K. Paikray and M. Mursaleen, On statistical Riemann-Stieltjes integrablility and deferred Cesaro summability, Contemporary Mathematics, 5 (2024), 1-16.
  • P. Parida, S. K. Paikray, B. B. Jena, Statistical deferred weighted riemann summability and fuzzy approximation theorems, Sahand Communications in Mathematical Analysis, 21 (2024), 327-345.
  • P. Parida, B. B. Jena and S. K. Paikray, A new approach to Korovkin-type theorems based on deferred Norlund summability mean, Mathematics and Computer Science Series, 50 (2023), 1-11.
  • H. M. Srivastava, B. B. Jena and S. K. Paikray, A certain class of equi-statistical convergence in the sense of the deferred power-series method, Axioms, 12 (2023), Article ID 964.
  • S. Sonker, N. Devi, B. B. Jena and S. K. Paikray, Approximation and simulation of signals via harmonic Banach summable factors of Fourier series, Mathematical Method in the Applied Sciences, 46 (2023), 13411–13422.
  • B. B. Jena, S. K. Paikray and M. Mursaleen, On degree of approximation of Fourier series based on a certain class of product deferred summability means, Journal of Inequalities and Applications, 2023 (2023), 1-13.
  • B. B. Jena, S. K. Paikray and M. Mursaleen, Uniform convergence of Fourier series via deferred Cesàro mean and its applications, Mathematical Method in the Applied Sciences, 46 (2023), 5286–5298.
  • B. B. Jena and S. K. Paikray, A new approach to statistical Riemann-Stieltjes integrals, Miskolc Mathematical Notes, 24 (2023), 789-803.
  • B. B. Jena, S. K. Paikray and H. Dutta, Statistically Riemann integrable and summable sequence of functions via deferred Cesaro mean, Bulletin of Iranian Mathematical Society, 48 (2022),  1293–1309.
  • B. B. Jena and S. K. Paikray, A certain class of statistical convergence of martingale sequences and its applications to Korovkin-type approximation theorems, Mathematics and Computer Science Series, 49 (2022), 1–12.
  • H. M. Srivastava, B. B. Jena and S. K. Paikray, Some Korovkin-type approximation theorems associated with a certain deferred weighted statistical Riemann- integrable sequence of functions, Axioms, 11 (2022), 1–11.
  • S. Sonker, B. B. Jena, R Jindal and S. K. Paikray, A generalized theorem on double absolute factorable matrix summability, Applied Mathematics and Information Sciences, 16 (2022), pp. 315-322.
  • H. M. Srivastava, B. B. Jena and S. K. Paikray, Deferred Cesaro statistical convergence of martingale sequence and Korovkin-type approximation theorems, Miskolc Mathematical Notes, 23 (2022), 273-286.
  • B. B. Jena, Equi-statistical convergence of a sequence of distribution functions via deferred Nörlund summability mean and associated approximation theorems, Filomat 35 (2021), 4501–4513.
  • B. B. Jena, S. K. Paikray and H. Dutta, A new approach to Korvokin-type approximation via deferred Cesaro statistical measurable convergence, Chaos, Solitons & Fractals, 148 (2021), 1–9,  Article ID 111016.
  • B. B. Jena and S. K. Paikray, Statistical convergence of martingale difference sequence via deferred weighted mean Korovkin-type theorems, Miskolc Mathematical Notes, 22 (2021), 273-286.
  • H. M. Srivastava, B. B. Jena and S. K. Paikray, Statistical product convergence martingale sequences and its application to Korovkin-type theorems, Mathematical Methods in the Applied Sciences, 44 (2021), 9600–9610.
  • H. M. Srivastava, B. B. Jena and S. K. Paikray, Statistical Riemann and Lebesgue integrable sequence of functions with Korovkin-type approximation theorems, Axioms, 10 (2021),1-16, Article ID 229.
  • B. B. Jena, S. K. Paikray and H. Dutta, On various new concepts of statistical convergence for sequences of random variables via deferred Cesaro mean, Journal of Mathematical Analysis and Applications, 487 (2020), 1–18,   Article ID 123950.
  • H. M. Srivastava, B. B. Jena and S. K. Paikray, Statistical probability convergence via deferred Norlund mean and its applications to approximation theorems, Revista de la Real Academia de Ciencias Exactas (RACSAM), 114 (2020), 1-14.
  • H. M. Srivastava, B. B. Jena and S. K. Paikray, Statistical deferred Nörlund summability and Korovkin-type approximation theorem, Mathematics, 8 (2020), 1-11, Article ID 636.
  • P. Parida, S. K. Paikray and B. B. Jena, Statistical Tauberian theorems for Cesàro integrability mean based on post-quantum calculus, Arabian Journal of Mathematics, 9 (2020), 653-663.
  • P. Parida, S. K. Paikray and B.B. Jena, Generalized deferred Cesaro equi-statistical convergence and analogous approximation, Proyecciones Journal of Mathematics, 39 (2020), 317-339.
  • B. B. Jena, S. K. Paikray, P. Parida and H. Dutta, Results on Tauberian theorem for Cesàro summable double sequences of fuzzy numbers, Kragujevac Journal of Mathematics, 44 (2020), 495-508.
  • B. B. Jena, L. N. Mishra, S. K. Paikray and U. K. Misra, Approximation of signals by general matrix summability with effects of gibb’s phenomenon applications to approximation theorems, Bol. Soc. Paran. Mat. (BSPM), 38 (2020), 141–158.
  • M. Patro, S. K. Paikray and B. B. Jena, Absolute index Norlund summability of improper integrals, TWMS J. App. and Eng. Math. 10 (2020),  2–8.
  • H. M. Srivastava, B. B. Jena and S. K. Paikray, A certain class of statistical probability convergence and its applications to approximation theorems, Applicable Analysis and Discrete Mathematics,  14 (2020), 579-598.
  • B.B. Jena and S. K. Paikray, Product of deferred Cesaro deferred weighted statistical probability convergence and its applications to Korovkin-type theorem, Universitas Scientiarum Journal, 25 (2020), 409-433.
  • P. K. Pattnaik, S. K. Paikray and B. B. Jena, Generalised Riesz and Norlund types means of sequences of fuzzy numbers, European Journal of Pure and Applied Mathematics, 13 (2020), 1088-1096.
  • B.B. Jena, S. K. Paikray and U. K. Misra, Strong Riesz summability of Fourier series, Proyecciones Journal of Mathematics, 39 (2020), 1615-1626.
  • B. B. Jena, S. K. Paikray, S. A. Mohiuddine and V N Mishra, Relatively equi-statistical convergence via deferred Norlund mean based on difference operator of fractional-order and related approximation theorems, AIMS Mathematics, 5 (2020), 650–672.
  • B. B. Jena and S. K. Paikray, Product of statistical probability convergence and its applications to Korovkin-type theorem, Miskolc Mathematical Notes, 20 (2019), 969-984.
  • H. M. Srivastava, B. B. Jena and S. K. Paikray, Deferred Cesaro statistical probability convergence and its applications to approximation theorems, Journal Nonlinear Convex Analysis, 20 (2019), 1777-1792.
  • T. Pradhan, S. K. Paikray, B. B. Jena and H. Dutta, On approximation of the rate of convergenceof Fourier series in the generalized Holder metric by deferred Norlund mean, Afrika Mathematika 30 (2019), 1119-1131.
  • H. M. Srivastava, B.B. Jena and S. K. Paikray, Statistically and deferred weighted summability and Korvokin-type approximation theorems, Symmetry, 11 (2019), 1-20.
  • L. N. Mishra, M. Patro, S. K. Paikray and B. B. Jena, A certain class of statistical deferred weighted A-summability based on (p; q)-integers and associated approximation theorems, Applications and Applied Mathematics 14 (2019), 716-740.
  • H. M. Srivastava, B. B. Jena, S. K. Paikray and U. K. Misra, A certain class of weighted statistical convergence and associated Korovkin type approximation theorems involving trigonometric functions, Mathematical Methods in the Applied Sciences, 41 (2018), 671-683.
  • B. B. Jena, S. K. Paikray and U. K. Misra, Statistical deferred Cesaro summability and its applications to approximation theorems, Filomat, 32 (2018), 2307-2319.
  • H. M. Srivastava, B.B. Jena, S. K. Paikray and U. K. Misra, Generalized equi-statistical convergence of the deferred Nörlund summability and its applications to associated approximation theorems, Revista de la Real Academia de Ciencias Exactas (RACSAM), 112 (2018), 1487-1501.
  • T. Pradhan, S. K. Paikray, B. B. Jena and  H. Dutta, Statistical deferred weighted B-summability and its applications to associated approximation theorems, Journal of Inequalities and Applications, 2018 (2018), 1 – 21, Article ID 65.
  • P. Parida, S. K. Paikray, H. Dutta, B. B. Jena and M. Dash, Tauberian theorems for Cesàro summability of nth sequences, Filomat, 32 (2018), 3993-4004.
  • H. M. Srivastava, B.B. Jena, S. K. Paikray and U. K. Misra, Deferred weighted A-statistical convergence based upon (p, q)-Lagrange polynomials and its application to approximation theorems, Journal of Applied Analysis, 24 (2018), 1-16.
  • B. B. Jena, Vandana, S. K. Paikray and U. K. Misra, On generalised local property of summability of factored Fourier series, International Journal of Analysis and Applications, 16 (2018), 209-221.
  • B. B. Jena, S. K. Paikray and U. K. Misra, Double absolute indexed matrix summability with its applications, Tbilisi Mathematical Journal, 11 (2018), 1-18.
  • B. B. Jena, S. K. Paikray and U. K. Misra, Inclusion theorems on general convergence and statistical convergence of (L, 1, 1) – summability using generalised Tauberian condition, Tamsui oxford journal of Information and Mathematical science, 31 (2017), 101 -115.
  • B. B. Jena, S. K. Paikray and U. K. Misra, A Tauberian theorem for double Cesaro summability method, International Journal of Mathematics and Mathematical Sciences, 2016 (2016), 1- 4.

II. Books, Monographs and Edited Volumes

  • H. Dutta, B. C. Tripathy, S. K. Paikray and B. B. Jena (Editors), Operators, Inequalities, and Approximation: Theory and Applications, Springer Nature India Private Limited (published), 2024 [ISBN 978-981-97-3240-1 (Print: Hard Copy); e-ISBN 978-981-97-3238-8 (eBook-PDF].

III. Book Chapters

  • S. K. Paikray, B. B. Jena and U. K. Misra, Statistical deferred Cesàro summability mean based on (p, q)-integers with application to approximation theorems, Advances in Summability and Approximation Theory (S. A. Mohiuddine and T. Acar, Editors) [Springer Nature Singapore Pte Ltd. 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore 2018, Chapter 13, pp. 203-222]
  • S. K. Paikray, B. B. Jena and H. Dutta, On statistical deferred Cesaro summability, Current Trends in Mathematical Analysis and Its Interdisciplinary Applications (H. Dutta, Ljubiša D. R. Kočinac and H. M. Srivastava, Editors) [Springer Nature Switzerland AG, Gewerbestrasse 11, 6330 Cham, Switzerland 2019, Chapter 23, pp. 885-909].
  • M. Patro, S. K. Paikray, B. B. Jena and H. Dutta, Statistical deferred Riesz summability mean and associated approximation theorems for trigonometric functions, Mathematical Modelling, Applied Analysis and Computation (J. Singh, D. Kumar, H. Dutta, D. Baleanu, S. Purohit, Editors) [Springer Proceedings in Mathematics & Statistics, vol 272. Springer, Singapore 2019, Chapter 3, pp.53-67]
  • P. Parida, S. K. Paikray and B. B. Jena, Tauberian theorems for statistical Cesaro summability of function of two variables over a locally convex space, Recent Advances in Intelligent Information Systems and Applied Mathematics, (O. Castillo, D. K. Jana, D. Giri, A. Ahmed, Editors)[ Springer Nature Switzerland AG, 2020, Chapter 60, pp. 779-790].
  • B. B. Jena, S. K. Paikray and H. Dutta, Approximation of signals via different summability means with effects of gibbs phenomenon, Methods of Mathematical Modelling and Computation for Complex Systems (J. Singh, H. Dutta, D. Kumar, D. Baleanu and  Hristov, Editors), [Springer Nature Switzerland AG, Gewerbestrasse 11, 6330 Cham, Switzerland, 2022, Chapter 16, pp 413-433].
  • B. B. Jena and S. K. Paikray, A new approach on statistical relative modular deferred weighted mean based on (p, q)-integers, Advances in Functional Analysis and Fixed-Point Theory: An Interdisciplinary Approach(B. Hazarika, S. Acharjee and D.S. Djordjević, Editors)[ Springer Nature Singapore Pte Ltd. 2024, Chapter 6, pp. 91-110].

IV. Papers in Conference Proceedings

  • B. B. Jena, S. K. Paikray and U. K. Misra, On generalised Tauberian theorm for (C, k, r) – summability of functions of two variables, Proceedings of 10th international conference of Institute for Mathematics, Bioinformatics, Information Technology and Computer Science (IMBIC), Vol. 5 (2016), pp. 85 – 94.
  • R, K, Jati, S. sarangi, B. B. Jena, S. K. Paikray and R. Mohapatra, Indexed Riesz summability of an infinite Matrix, , International Conference proceeding, ICLISEM, The International Centre Goa, Dr. E Borges Road, Dona Paula, Panjim, Goa(India), 2017, pp. 165-174, ISBN 978-93-86171-68-9.

V. Forewords to Journals (Editorial)

  • Preface to Optimization Eruditorum (Special Issue in Honour of Professor Hari M. Srivastava on his 85th Birth Anniversary) (Debdas Ghosh, Bidu Bhusan Jena, Susanta Kumar Paikray, Jen-Chih Yao and Yong Zhao, Guest Editors), Vol. 2 (2025), No. 3, pp. i-i.
  • Preface to Montes Taurus Journal of Pure and Applied Mathematics (Special Issue in Honour of Professor Hari M. Srivastava on his 85th Birth Anniversary) (Yilmaz Simsek, Tibor K. Pogány, Junesang Choi, Osman Yurekli, Ismail Naci Cangul, Qiu-Ming Luo, Susanta Kumar Paikray and Bidu Bhusan Jena, Guest Editors), Vol. 7 (2025), No. 4, pp. 1-2.