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相关论文: Results on bivariate Szasz-Mirakyan type operators…

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In this article, the approximation properties of the Szasz-Mirakjan type operators are studied for the function of two variables, and the rate of convergence of the bivariate operators is determined in terms of total and partial modulus of…

泛函分析 · 数学 2020-05-27 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

his paper deals with approximating properties of the newly defined $q$-generalization of the Sz\'{a}sz operators in the case $q>1$. Quantitative estimates of the convergence in the polynomial weighted spaces and the Voronovskaja's theorem…

泛函分析 · 数学 2010-05-24 Nazim I. Mahmudov

We introduce certain modified Sz\'{a}sz-Mirakyan operators in polynomial weighted spaces of functions of one variable. We studied approximation properties of these operators.

经典分析与常微分方程 · 数学 2015-08-28 Prashantkumar Patel , Vishnu Narayan Mishra , Mediha Örkcü

This paper deals with the approximations of Durrmeyer type generalization of Szasz-Mirakjan operators. We establish the direct results, quantitative Voronovskaya type theorem, Gruss type theorem, A-statistical convergence, rate of…

泛函分析 · 数学 2019-12-02 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

This paper discusses the properties of a modified version of the Stancu variant Sz\'asz-Mirakjan Kantorovich type operators. We determine the order of approximation in terms of the modulus of continuity and second-order of smoothness, and…

泛函分析 · 数学 2024-10-25 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

This paper is in continuation of our work in \cite{PNM}, wherein we introduced generalized Baskakov Kantorovich operators $K_n^a(f;x)$ and established some approximation properties e.g. local approximation, weighted approximation,…

经典分析与常微分方程 · 数学 2015-05-25 Meenu Goyal , P. N. Agrawal

Our main aim is to investigate the approximation properties for the summation integral type operators in a statistical sense. In this regard, we prove the statistical convergence theorem using well known Korovkin theorem and the degree of…

泛函分析 · 数学 2019-12-24 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

The main purpose of this paper is to determine the approximations of Durrmeyer modification of Szasz-Mirakjan operators, defined by Mishra et al. (Boll. Unione Mat. Ital. (2016) 8(4):297-305). We estimate the order of approximation of the…

泛函分析 · 数学 2020-02-14 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

In the present article, we propose the generalization of Sz\'{a}sz-Mirakyan operators, which is a class of linear positive operators of discrete type depending on a real parameters. We give theorem of degree of approximation, the…

经典分析与常微分方程 · 数学 2015-09-01 Prashantkumar Patel , Vishnu Narayan Mishra

The purpose of this article is to give a Chlodowsky type generalization of Szasz operators defined by means of the Sheffer type polynomials. We obtain convergence properties of our operators with the help of Korovkin's theorem and the order…

经典分析与常微分方程 · 数学 2016-01-06 M. Mursaleen , Khursheed J. Ansari

This article contributes to the new summation of Sz\'asz operators with the help of Appell polynomials of class $A^{2}$. We verified Bohman-Korovkin's theorem and prove the convergence results like Lipschitz-type space, Voronvaskaja-type…

经典分析与常微分方程 · 数学 2023-08-08 Naokant Deo , Chandra Prakash , D. K. Verma

In the present article, we deal with the overconvergence of the Sz?asz-Durrmeyer-Chlodowsky operators. Here we study the approximation properties e.g. upper estimates, Voronovskaja type result for these operators attached to analytic…

经典分析与常微分方程 · 数学 2016-05-19 Meenu Goyal , P. N. Agrawal

In this article, we achieve some general statistical approximation results for $ \lambda $-Bernstein operators in addition to some other approximation properties. We prove a statistical Voronovskaja-type approximation theorem. We also…

经典分析与常微分方程 · 数学 2019-02-25 Faruk Özger

In this paper, we introduce a new type of Szasz-Mirakjan operators, which preserve a^x, a > 1 fixed and x\geq 0. We study uniform convergence of the operators by using some auxiliary results and also error estimation is given. The…

泛函分析 · 数学 2020-01-22 Rishikesh Yadav , Vishnu Narayan Mishra

The present article deals with the local approximation results by means of Lipschitz maximal function, Ditzian-Totik modulus of smoothness and Lipschitz type space having two parameters for the summation-integral type operators defined by…

泛函分析 · 数学 2019-12-11 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

In this paper, we deal with the complex Baskakov-Szasz-Durrmeyer mixed operators and study Voronovskaja type results with quantitative estimates for these operators attached to analytic functions of exponential growth in the open disk of…

经典分析与常微分方程 · 数学 2015-06-24 Sorin G. Gal , Vijay Gupta

In this paper, we are dealing with a new type of Baskakov-Schurer-Szasz operators (\ref{eq1}). Approximation properties of this operators are explored: the rate of convergence in terms of the usual moduli of smoothness is given, the…

泛函分析 · 数学 2015-08-24 Vishnu Narayan Mishra , Preeti Sharma

In this paper, we investigate the approximation properties of the summation-integral type operators as defined by Mishra et al. (Boll. Unione Mat. Ital. (2016) 8:297-305) and determine the local results as well as prove the convergence…

泛函分析 · 数学 2020-02-25 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

In the present article we define the Jain type modification of the generalized Szasz-Mirakjan operators that preserve constant and exponential mappings. Moments, recurrence formulas, and other identities are established for these operators.…

经典分析与常微分方程 · 数学 2018-05-21 G. C. Greubel

The aim of this article is to introduce the Kantorovich form of generalized Szasz-type operators involving Charlier polynomials with certain parameters. In this paper we discussed the rate of convergence better error estimates and…

经典分析与常微分方程 · 数学 2015-09-16 Abdul Wafi , Nadeem Rao
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