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, Nonlinear analysis, Special
Functions, Variational inequality, qseries & qpolynomials 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), 667676.
• 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) 326331.
• 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), 353363.
• 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:10.1186/16871812201384, 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; LrApproximation 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 BaskakovDurrmeyerStancu 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:
10.1186/10.1186/168718472013345.
• 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 qBaskakov
type operators with two parameter α and β, Numerical Algorithms, Vol. 67, Issue 4 (2014), pp.
753769.
• 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) 252263.
• 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 qBaskakovKantorovich 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 SrivastavaGupta 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
FFTOFDM and DCTOFDM system, Journal of Function Spaces, Volume 2015, Article ID
854753, (2015), 7 pages.
• Vishnu Narayan Mishra, M. Mursaleen, P. Sharma; Some approximation properties of
BaskakovSz\'{a}szStancu operators, Applied Mathematics & Information Sciences, Vol. 9,
No. 6, pp. 31593167, (2015). 2013.
