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In the present paper we propose a Kantorovich variant of (p,q)-analogue of Szasz-Mirakjan operators. We establish the moments of the operators with the help of a recurrence relation that we have derived and then prove the basic convergence…

Classical Analysis and ODEs · Mathematics 2015-12-14 M. Mursaleen , Khursheed J. Ansari , Abylkassymova Elmira

In this paper, we introduce a modification of the Szasz-Mirakjan-Kantorovich operators as well as Stancu operators [9] (or a Dunkl generalization of modified Szasz-Mirakjan-Kantrovich operators [5]) which preserve the linear functions.…

Classical Analysis and ODEs · Mathematics 2016-04-06 M. Mursaleen , Md. Nasiruzzaman

In this paper, we prove some operator inequalities associated with an extension of the Kantorovich type inequality for $s$-convex function. We also give an application to the order preserving power inequality of three variables and find a…

Functional Analysis · Mathematics 2022-10-11 Ismail Nikoufar , Davuod Saeedi

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…

Functional Analysis · Mathematics 2019-12-02 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

The present paper deals with modifications of Bernstein, Kantorovich, Durrmeyer and genuine Bernstein-Durrmeyer operators. Some previous results are improved in this study. Direct estimates for these operators by means of the first and…

Numerical Analysis · Mathematics 2018-10-23 Ana Maria Acu , Heiner Gonska

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…

Functional Analysis · Mathematics 2024-10-25 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…

Classical Analysis and ODEs · Mathematics 2015-06-24 Sorin G. Gal , Vijay Gupta

In this paper, we describe two novel changes to the Baskakov-Durrmeyer operators that improve their approximation performance. These improvements are especially designed to produce higher rates of convergence, with orders of one or two.…

Numerical Analysis · Mathematics 2024-11-12 Jaspreet Kaur , Meenu Goyal

In this paper we introduce and study a new sequence of positive linear operators acting on function spaces defined on a convex compact subset. Their construction depends on a given Markov operator, a positive real number and a sequence of…

Functional Analysis · Mathematics 2017-10-18 Francesco Altomare , Mirella Cappelletti Montano , Vita Leonessa , Ioan Rasa

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…

Functional Analysis · Mathematics 2020-02-14 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

In this paper, we construct generalized Baskakov Kantorovich operators. We establish some direct results and then study weighted approximation, simultaneous approximation and statistical convergence properties for these operators. Finally,…

Classical Analysis and ODEs · Mathematics 2015-09-09 P. N. Agrawal , Meenu Goyal

In this article, we analyse the Kantorovich type exponential sampling operators and its linear combination. We derive the Voronovskaya type theorem and its quantitative estimates for these operators in terms of an appropriate K-functional.…

Functional Analysis · Mathematics 2020-02-10 B. Shivam , A. Sathish Kumar

The main object of this paper is to improve some of the known estimates for classical Kantorovich operators. A quantitative Voronovskaya-type result in terms of second moduli of continuity which improves some previous results is obtained.…

Classical Analysis and ODEs · Mathematics 2019-04-26 Ana Maria Acu , Heiner Gonska

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…

Classical Analysis and ODEs · Mathematics 2015-09-16 Abdul Wafi , Nadeem Rao

We introduce and study the class of linear transfers between probability distributions and the dual class of Kantorovich operators between function spaces. Linear transfers can be seen as an extension of convex lower semi-continuous…

Analysis of PDEs · Mathematics 2019-06-25 Malcolm Bowles , Nassif Ghoussoub

In this paper, we introduce a Kantorovich type generalization of q-Bernstein-Stancu operators. We study the convergence of the introduced operators and also obtain the rate of convergence by these operators in terms of the modulus of…

Classical Analysis and ODEs · Mathematics 2015-05-27 M. Mursaleen , Khursheed J. Ansari , Asif Khan

In this paper, we introduce generalized Baskakov Kantorovich Stancu type operators and investigate direct result, local approximation and weighted approximation properties of these operators. Modulus of continuity, second modulus of…

Numerical Analysis · Mathematics 2015-08-06 Abdul Wafi , Nadeem Rao

In this paper, bivariate Szasz-Mirakjan type operators are introduced along with the estimation of its approximation properties and its rate of convergence. Furthermore, to check the asymptotic behavior of the said bivariate operators, the…

Numerical Analysis · Mathematics 2019-11-21 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

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…

Classical Analysis and ODEs · Mathematics 2016-05-19 Meenu Goyal , P. N. Agrawal

In this paper, we analyze the convergence behavior of Hermite-type sampling Kantorovich operators in the context of mixed norm spaces. We prove certain direct approximation theorems, including the uniform convergence theorem, the…

Functional Analysis · Mathematics 2025-06-04 Puja Sonawane , A. Sathish Kumar
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