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Direct Result for a Summation-Integral Type Modification of Szasz–Mirakjan Operators

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Analysis in Theory and Applications 2020年第2期36卷 217-224页

作者： vishnu narayan mishra R.B.Gandhi Department of Mathematics Indira Gandhi National Tribal UniversityLalpurAmarkantak 484887Madhya PradeshIndia L.1627 Awadh Puri Colony Beniganj Phase-IIIOpposite–Industrial Training Institute(ITI)Ayodhya Main RoadFaizabadUttar Pradesh 224001India Department of Mathematics BVM Engineering CollegeVallabh Vidyanagar–388120(Gujarat)India

In this paper,study of direct result for a summation-integral type modification of Szasz-Mirakjan operators is carried *** of moments,density result and a Voronvskaja-type result are also obtained.

关键词： Sz'asz-Mirakjan operators K-functional modulus of smoothness Voronovskaja-type result

An Existence Theorem of Solutions for the System of Generalized Vector Quasi-Variational-Like Inequalities

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American Journal of Operations Research 2013年第3期3卷 329-336页

作者： Shamshad Husain Sanjeev Gupta vishnu narayan mishra Department of Applied Mathematics & Humanities Sardar Vallabhbhai National Institute of Technology Surat India Department of Applied Mathematics Faculty of Engineering & Technology Aligarh Muslim University Aligarh India

In this paper, we introduce and study the system of generalized vector quasi-variational-like inequalities in Hausdorff topological vector spaces, which include the system of vector quasi-variational-like inequalities, the system of vector variational-like inequalities, the system of vector quasi-variational inequalities, and several other systems as special cases. Moreover, a number of C-diagonal quasiconvexity properties are proposed for set-valued maps, which are natural generalizations of the g-diagonal quasiconvexity for real functions. Together with an application of continuous selection and fixed-point theorems, these conditions enable us to prove unified existence results of solutions for the system of generalized vector quasi-variational-like inequalities. The results of this paper can be seen as extensions and generalizations of several known results in the literature.

关键词： The System of Generalized Vector Quasi-Variational-Like Inequalities Fixed Point Theorem Open Lower Section Upper Semicontinuous C-Diagonal Quasiconvexity

Novel Analytical Approach of Non Conventional Mapping Scheme with Discrete Hartley Transform in OFDM System

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American Journal of Operations Research 2014年第5期4卷 281-292页

作者： Shilpi Gupta Upena Dalal vishnu narayan mishra Applied Mathematics & Humanities Department Sardar Vallabhbhai National Institute of Technology Surat India L. 1627 Awadh Puri Colony Beniganj Faizabad Uttar Pradesh India Electronics Engineering Department Sardar Vallabhbhai National Institute of Technology Surat India

The system performance has been analyzed for π/4 DQPSK mapping scheme, which is differential in nature and hence adding additional advantage. Performance evaluation with random data as well as some images has been taken. Channel modeling has been performed in multipath fading environment. For elaboration of the concept mathematical modeling has been implemented using computer simulation. In this paper, an attempt is made to know the capabilities of DHT-OFDM with non conventional mapping technique π/4 DQPSK.

关键词： DHT-OFDM FFT-OFDM Rayleigh π/4 DQPSK BER

Duality Relations for a Class of a Multiobjective Fractional Programming Problem Involving Support Functions

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American Journal of Operations Research 2018年第4期8卷 294-311页

作者： Vandana Ramu Dubey Deepmala Lakshmi narayan mishra vishnu narayan mishra Department of Management Studies Indian Institute of Technology Madras Chennai India Department of Mathematics Central University of Haryana Pali India Mathematics Discipline PDPM-Indian Institute of Information Technology Design and Manufacturing Jabalpur India Department of Mathematics School of Advanced Sciences Vellore Institute of Technology Vellore India L. 1627 Awadh Puri Colony Beniganj Phase-III Opposite-Industrial Training Institute (I.T.I.) Faizabad India Department of Mathematics Indira Gandhi National Tribal University Lalpur India

In this article, for a differentiable function , we introduce the definition of the higher-order -invexity. Three duality models for a multiobjective fractional programming problem involving nondifferentiability in terms of support functions have been formulated and usual duality relations have been established under the higher-order -invex assumptions.

关键词： Efficient Solution Support Function Multiobjective Fractional Programming Generalized Invexity

Fixed Point Approximation for Suzuki Generalized Nonexpansive Mapping Using B(δ, μ) Condition

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Applied Mathematics 2022年第2期13卷 215-227页

作者： Kamal Kumar Laxmi Rathour Mukesh Kumar Sharma vishnu narayan mishra Department of Mathematics Government College Faridabad India Ward Number-16 Anuppur Madhya Pradesh India Department of Mathematics Chaudhary Charan Singh University Meerut India Department of Mathematics Indira Gandhi National Tribal University Anuppur India

In this paper, we introduce AK' iteration scheme to approximate fixed point for Suzuki generalized nonexpansive mapping satisfying B(δ, μ) condition in the framework of Banach spaces. Also, an example is given to confirm the efficiency of AK' iteration scheme. Our results are generalizations in the existing literature of fixed points in Banach spaces.

关键词： AK' Iterative Scheme B(δ μ) Condition Suzuki Genertalized Nonexpansive Mappings Banach Spaces

Degree of Approximation of Conjugate of Signals (Functions) by Lower Triangular Matrix Operator

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Applied Mathematics 2011年第12期2卷 1448-1452页

作者： vishnu narayan mishra Huzoor H. Khan Kejal Khatri 不详

In the present paper, an attempt is made to obtain the degree of approximation of conjugate of functions (signals) belonging to the generalized weighted W(LP, ξ(t)), (p ≥ 1)-class, by using lower triangular matrix o... 详细信息

关键词： Conjugate Fourier Series Generalized Weighted W(LP ξ(t))-Class Degree of Approximation and Lower Triangular Matrix Means

Dislocated Soft Metric Space with Soft Fixed Point Theorems

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Open Journal of Discrete Mathematics 2017年第3期7卷 108-133页

作者： Balaji Raghunath Wadkar vishnu narayan mishra Ramakant Bhardwaj Basant Singh Department of Mathematics AISECT University Bhopal India Applied Mathematics & Humanities Department S.V. National Institute of Technology Surat India Department of Mathematics Indira Gandhi National Tribal University Amarkantak India Department of Mathematics TIT Group of Institutes Bhopal India

In the present paper, we define Dislocated Soft Metric Space and discuss about the existence and uniqueness of soft fixed point of a cyclic mapping in soft dislocated metric space. We also prove the unique soft fixed point theorems of a cyclic mapping in the context of dislocated soft metric space. Examples are given for support of the results.

关键词： Soft Set Soft Fixed Point Soft Point of Soft Mapping Soft Metric Space Dislocated Soft Metric Space

An Alternative Approach for Solving Bi-Level Programming Problems

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American Journal of Operations Research 2017年第3期7卷 239-247页

作者： Rashmi Birla Vijay K. Agarwal Idrees A. Khan vishnu narayan mishra Department of Mathematics Sir Padampat Singhania University Bhatewar India Department of Mathematics Mody University of Science and Techonology Lakshmangarh India Department of Mathematics Integral University Lucknow India Applied Mathematics & Humanities Department Sardar Vallabhbhai National Institute of Technology Surat India

An algorithm is proposed in this paper for solving two-dimensional bi-level linear programming problems without making a graph. Based on the classification of constraints, algorithm removes all redundant constraints, which eliminate the possibility of cycling and the solution of the problem is reached in a finite number of steps. Example to illustrate the method is also included in the paper.

关键词： Linear Programming Problem Bi-Level Programming Problem Graph Algorithm

Trigonometric Approximation of Signals (Functions) Belonging to the Lip(ξ(t),r),(r>1)-Class by (E,q) (q>0)-Means of the Conjugate Series of Its Fourier Series

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Advances in Pure Mathematics 2013年第3期3卷 353-358页

作者： vishnu narayan mishra Huzoor H. Khan Idrees A. Khan Kejal Khatri Lakshmi N. mishra Department of Applied Mathematics & Humanities Sardar Vallabhbhai National Institute of Technology Surat India Department of Mathematics Aligarh Muslim University Aligarh India Dr. Ram Manohar Lohia Avadh University Faizabad India

Various investigators such as Khan ([1-4]), Khan and Ram [5], Chandra [6,7], Leindler [8], mishra et al. [9], mishra [10], Mittal et al. [11], Mittal, Rhoades and mishra [12], Mittal and mishra [13], Rhoades et al. [14] have determined the degree of approximation of 2π-periodic signals (functions) belonging to various classes Lipα, Lip(α,r), Lip(ξ(t),r) and W(Lr,ζ(t)) of functions through trigonometric Fourier approximation (TFA) using different summability matrices with monotone rows. Recently, Mittal et al. [15], mishra and mishra [16], mishra [17] have obtained the degree of approximation of signals belonging to -class by general summability matrix, which generalizes the results of Leindler [8] and some of the results of Chandra [7] by dropping monotonicity on the elements of the matrix rows (that is, weakening the conditions on the filter, we improve the quality of digital filter). In this paper, a theorem concerning the degree of approximation of the conjugate of a signal (function) f belonging to Lip(ξ(t),r) class by (E,q) summability of conjugate series of its Fourier series has been established which in turn generalizes the results of Chandra [7] and Shukla [18].

关键词： Signals Conjugate Fourier Series Trigonometric Fourier Approximation Degree of Approximation Lip(ξ(t) r)-Class (E q) Summability