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相关论文: (p, q)-Sz\'asz-Mirakyan-Baskakov-Stancu type Opera…

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This paper is devoted to study the approximation properties and rate of approximation of the Szasz-Mirakjan-Kantrovich-Stancu type polynomials generated by the Dunkl generalization of the exponential function with respect to q -calculus. We…

经典分析与常微分方程 · 数学 2016-03-21 M. Mursaleen , Md. Nasiruzzaman

In the present paper, we introduce the Chlodowsky variant of (p,q) Kantorovich-Stancu-Schurer operators on the unbounded domain which is a generalization of (p,q) Bernstein-Stancu-Kantorovich operators. We have also derived its Korovkin…

经典分析与常微分方程 · 数学 2016-05-31 Vishnu Narayan Mishra , Shikha Pandey

The present paper deals with the Stancu type generalization of the Kantorovich discrete $q$-Beta operators. We establish some direct results, which include the asymptotic formula and error estimation in terms of the modulus of continuity…

经典分析与常微分方程 · 数学 2015-08-25 Preeti Sharma , Vishnu Narayan Mishra

The aim of this article is to introduce a bivariate extension of Shurer-Stancu operators based on (p q)integers. We prove uniform approximation by means of Bohman Korovkin type theorem rate of convergence using total modulus of smoothness…

经典分析与常微分方程 · 数学 2016-02-23 Abdul Wafi , Nadeem Rao

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…

经典分析与常微分方程 · 数学 2015-05-27 M. Mursaleen , Khursheed J. Ansari , Asif Khan

In this paper we introduce the Stancu type generalization of the q-Bernstein-Schurer-Kantorovich operators and examine their approximation properties. We investigate the convergence of our operators with the help of the Korovkin's…

经典分析与常微分方程 · 数学 2016-02-23 M. Mursaleen , Taqseer Khan

In the present paper, we construct and investigate a variant of modified $(p,q)$-Baskakov operators, which reproduce the test function $x^2$. The order of approximation of the operators via K-functional and second order, usual modulus of…

经典分析与常微分方程 · 数学 2016-03-23 Shikha Pandey , Vishnu Narayan Mishra , L N Mishra

In this present manuscript, we discuss properties of modified Baskakov-Durrmeyer-Stancu (BDS) operators with parameter $\gamma>0$. We compute the moments of these modified operators. Also, establish point-wise convergence, Voronovskaja type…

经典分析与常微分方程 · 数学 2015-09-15 Prashantkumar Patel , Vishnu Narayan Mishra

In [10] Jain introduced the modified form of the Sz\'asz-Mirakjan operator, based on certain parameter $0\le\beta<1$. Several modifications of the operators are available in the literature. Here we consider actual Durrmeyer variant of the…

经典分析与常微分方程 · 数学 2016-11-07 Vijay Gupta , G. C. Greubel

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

In the present paper we discuss the approximation properties of Jain-Baskakov operators with parameter c. The present paper deals with the modified forms of the Baskakov basis functions. We establish some direct results, which include the…

泛函分析 · 数学 2015-09-10 Vishnu Narayan Mishra , Preeti Sharma , Marius Birou

In this paper, we construct a linear positive operators q-parametric Szasz-Mirakjan operators generated by the q-Dunkl generalization of the exponential function. We obtain Korovkin's type approximation theorem for these operators and…

经典分析与常微分方程 · 数学 2015-11-23 M. Mursaleen , Md. Nasiruzzaman

This paper investigates the q-Stancu operators, which generalize the q-Bernstein operators, by developing a new representation in terms of the q-Pochhammer symbol. Based on this representation, some known properties are re-discovered, and a…

泛函分析 · 数学 2026-04-21 Feride Baraner , Ovgu Gurel

In this work, we investigate weighted $\alpha$$\beta$-Statistical approximation properties of $q$-Durrmeyer-Stancu operators. Also, give some corrections in limit of $q$-Durrmeyer-Stancu operators defined in \cite{mishra2013short} and…

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

In this paper, we introduce Mellin-Steklov exponential samplingoperators of order $r,r\in\mathbb{N}$, by considering appropriate Mellin-Steklov integrals. We investigate the approximation properties of these operators in continuousbounded…

泛函分析 · 数学 2024-10-15 D Ozer , S Kursun , T Acar

Our objective in this paper is to present the sequence of Stancu type operators including generalized Brenke polynomials. We answer the problem of uniform approximation of continuous functions on closed bounded interval and the problem of…

泛函分析 · 数学 2021-05-18 Sezgin Sucu

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

The Sz\'asz-Mirakyan operator is known as a positive linear operator which uniformly approximates a certain class of continuous functions on the half line. The purpose of the present paper is to find out limiting behaviors of the iterates…

概率论 · 数学 2023-06-05 Jirô Akahori , Ryuya Namba , Shunsuke Semba

A new Goodman-Sharma modification of the Baskakov operator is presented for approximation of bounded and continuous on $[0,\,\infty)$ functions. In our study on the approximation error of the proposed operator we prove direct and strong…

经典分析与常微分方程 · 数学 2024-12-09 Ivan Gadjev , Parvan Parvanov , Rumen Uluchev

The present paper deals with construction of newly family of Neural Network operators, that is, Steklov Neural Network operators. By using Steklov type integral, we introduce a new version of Neural Network operators and we obtain some…

泛函分析 · 数学 2024-12-18 S. N. Karaman , M. Turgay , T. Acar