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Isaac Scientific Publishing
Advances in Analysis
Dr. Vishnu Narayan Mishra,  Indira Gandhi National Tribal University, India
Associate Professor of Mathematics
Department of Mathematics
Indira Gandhi National Tribal University
Lalpur, Amarkantak, Madhya Pradesh 484 887, India
(A Central University established by an Act of Parliament).
Research Interests
Linear Positive Operators, Approximation theory, Functional Analytic aspects (methods) in Summability, Fourier Analysis, Quantum Calculus, Asymptotic expansions, Fixed point theory and applications in dynamic programming, Inequalities, Non-linear analysis, Special Functions, Variational inequality, q-series & q-polynomials and Operator Theory, Fractals & Wavelets, Signal Analysis & Image processing.
Selected Publication List
• M.L. Mittal, B.E. Rhoades, V.N. Mishra, U. Singh, Using infinite matrices to approximate functions of class Lip (α, p) using trigonometric polynomials, Journal of Mathematical Analysis and Applications, (Elsevier Journals) Vol. 326 (2007), 667-676.
• M.L. Mittal, U. Singh, V.N. Mishra, On the strong Nörlund summability of conjugate Fourier series, Applied Mathematics and Computation, Elsevier Journals, Vol. 187 (2007) 326-331.
• V.N. Mishra, K. Khatri, L.N. Mishra; Approximation of Functions belonging to Lip (ξ(t), r) class by (N, pn) (E,q) Summability of Conjugate Series of Fourier series, Journal of Inequalities and Applications- a Springer Open Access Journal 2012, 2012:296.
• V.N. Mishra, K. Khatri, L.N. Mishra, Using Linear Operators to Approximate Signals of Lip (α, p), (p≥1)-Class, Filomat 27:2 (2013), 353-363.
• L.N. Mishra, V.N. Mishra, V. Sonavane; Trigonometric Approximation of Functions Belonging to Lipschitz Class by Matrix (C1.Np) Operator of Conjugate Series of Fourier series, Advances in Difference Equations, a Springer Open Journal, 2013, 2013:127.
• V.N. Mishra, P. Patel; A short note on approximation properties of Stancu generalization of q- Durrmeyer operators, Fixed point theory and Applications 2013 (Springer Journal) 2013, 2013:84, doi:10.1186/1687-1812-2013-84, Impact factor: 2.49. Volume 2013, Issue 1, pp. 84.
• Vishnu Narayan Mishra, V. Sonavane, L.N. Mishra; On Trigonometric Approximation of W(Lp, ξ(t)), (p ≥ 1) Function by Product (C,1) (E,1) Means of its Fourier series, Journal of Inequalities and Applications, Volume 2013, Issue 1, pp. 300, 2013:300.
• Vishnu Narayan Mishra, V. Sonavane, L.N. Mishra; Lr-Approximation of Signals (Functions) belonging to Weighted W(Lr, ξ(t))- Class by C1.Np Summability Method of Conjugate Series of its Fourier series, Journal of Inequalities and Applications 2013, 2013:440.
• Vishnu Narayan Mishra, K. Khatri, L.N. Mishra, Deepmala; Inverse result in simultaneous approximation by Baskakov-Durrmeyer-Stancu operators, Journal of Inequalities and Applications 2013, 2013:586.
• Vishnu Narayan Mishra, K. Khatri, L.N. Mishra; Statistical approximation by Kantorovich type Discrete $q-$Beta operators, Advances in Difference Equations 2013, 2013:345, DOI: 10.1186/10.1186/1687-1847-2013-345.
• S. Husain, S. Gupta, Vishnu Narayan Mishra; Graph Convergence for the H(.,.)-Mixed Mapping with an Application for Solving the System of Generalized Variational Inclusions, Fixed Point Theory and Applications 2013, 2013:304.
• Vishnu Narayan Mishra, P. Patel; The Durrmeyer type modification of the q-Baskakov type operators with two parameter α and β, Numerical Algorithms, Vol. 67, Issue 4 (2014), pp. 753-769.
• L.N. Mishra, Vishnu Narayan Mishra, K. Khatri, Deepmala, On The Trigonometric approximation of signals belonging to generalized weighted Lipschitz $W(L^r, \xi (t) ) (r \geq 1)-$ class by matrix $(C^1.N_p)$ Operator of conjugate series of its Fourier series, Applied Mathematics and Computation, (Elsevier Journal), Vol. 237 (2014) 252-263.
• Vishnu Narayan Mishra, P. Patel; On Generalized Integral Bernstein Operators based on $q$-integers, Applied Mathematics and Computation, (Elsevier Journal), Vol. 242, (2014) 931 – 944.
• Vishnu Narayan Mishra, P. Sharma, A. Kiliçman, D. Jain; Statistical approximation properties of Stancu type q-Baskakov-Kantorovich operators, Filomat, 30:7 (2016), 1853–1868.
• L.N. Mishra, S.K. Tiwari, Vishnu Narayan Mishra, I.A. Khan; Unique Fixed Point Theorems for Generalized Contractive Mappings in Partial Metric Spaces, Journal of Function Spaces, Volume 2015 (2015), Article ID 960827, 8 pages.
• T. Acar, L.N. Mishra and Vishnu Narayan Mishra; Simultaneous Approximation for Generalized Srivastava-Gupta Operator, Journal of Function Spaces, Volume 2015 (2015), Article ID 936308, 11 pages.
• S. Gupta, U. Dalal and Vishnu Narayan Mishra; Performance on ICI self cancellation in FFT-OFDM and DCT-OFDM system, Journal of Function Spaces, Volume 2015, Article ID 854753, (2015), 7 pages.
• Vishnu Narayan Mishra, M. Mursaleen, P. Sharma; Some approximation properties of Baskakov-Sz\'{a}sz-Stancu operators, Applied Mathematics & Information Sciences, Vol. 9, No. 6, pp. 3159-3167, (2015). 2013.
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