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相关论文: Approximation properties of (p,q)-Meyer-Konig-Zell…

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In this paper, we introduce a generalization of the $q$-Meyer-Konig and Zeller operators by means of the $(p,q)$-integers as well as of the $(p,q)$-Gaussian binomial coefficients. For $ 0< q < p <= 1,$ the sequence of the…

经典分析与常微分方程 · 数学 2016-03-31 U. Kadak , Asif Khan , M. Mursaleen

In this paper we investigate some Korovkin type approximation properties of the q-Meyer-K\"onig and Zeller operators and Durrmeyer variant of the q-Meyer-K\"onig and Zeller operators via Abel summability method which is a…

泛函分析 · 数学 2019-04-26 Dilek Söylemez , Mehmet Ünver

In this paper, First we have given the modified form of (p,q)-analogues of Bernstein and Bernstein operators [21-23] and then we introduce a new analogue of Bernstein-Kantorovich operators which we call as (p,q)-Bernstein-Kantorovich…

经典分析与常微分方程 · 数学 2016-01-18 M. Mursaleen , Khursheed J. Ansari , Asif Khan

In this paper, we introduce a Shurer type genaralization of (p,q)-Bernstein-Kantorovich operators based on (p,q)-integers and we call it as (p,q)-Bernstein-Schurer Kantorovich operators. We study approximation properties for these operators…

经典分析与常微分方程 · 数学 2015-06-09 M. Mursaleen , Faisal Khan

The main aim of this study is to introduce statistical approximation properties of (p; q)-Szasz Mirakjan Kantorovich operators with the help of the Korovkin type statistical approximation theorem. Rates of statistical convergence by means…

经典分析与常微分方程 · 数学 2016-04-19 Bhausaheb R. Sontakke , Amjad Shaikh

The aim of this paper is to introduce a generalization of the (p,q)-Bleimann-Butzer-Hahn operators based on (p,q)-integers and obtain Korovkin's type statistical approximation theorem for these operators. Also, we establish the rate of…

经典分析与常微分方程 · 数学 2015-11-27 M. Mursaleen , Taqseer Khan

In this paper, we introduce a generalization of the Bleimann-Butzer-Hahn operators based on (p,q)-integers and obtain Korovkin's type approximation theorem for these operators. Furthermore, we compute convergence of these operators by using…

经典分析与常微分方程 · 数学 2015-11-25 M. Mursaleen , Md. Nasiruzzaman , Asif Khan , Khursheed J. Ansari

Recently, Mursaleen et al applied (p,q)-calculus in approximation theory and introduced (p,q)-analogue of Bernstein operators in [16]. In this paper, we construct and introduce a generalization of the bivariate Bleimann-Butzer-Hahn…

经典分析与常微分方程 · 数学 2015-06-09 M. Mursaleen , Md. Nasiruzzaman

In the present paper, we introduce the generalized form of $(p,q)$ Baskakov-Durrmeyer Operators with Stancu type parameters. We derived the local and global approximation properties of these operators and obtained the convergence rate and…

经典分析与常微分方程 · 数学 2016-02-24 Vishnu Narayan Mishra , Shikha Pandey

In this paper, we have given a corrigendum to our paper "Some Approximation Results by $(p,q)$-analogue of Bernstein-Stancu Operators" published in Applied Mathematics and Computation $264 (2015) 392-402.$ We introduce a new analogue of…

经典分析与常微分方程 · 数学 2016-10-12 M. Mursaleen , Khursheed J. Ansari , Asif Khan

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

In this article, we have introduced (p;q)-variant of Stancu-Schurer operators and discussed the rate of convergence for continuous functions. We have also discussed recursive estimates Korovkin and direct approximation results using second…

数论 · 数学 2016-01-01 Abdul Wafi , Nadeem Rao

This paper deals with the modified q-Stancu-Beta operators and we have investigated the statistical approximation theorems for these operators with the help of the Korovkin type approximation theorem. We have also established the rates of…

经典分析与常微分方程 · 数学 2018-10-22 Preeti Sharma Joshi , Ghanshyam Singh Rathore

In this paper, we introduce new modifications of Szasz-Mirakyan operators based on (p,q)-integers. We first give a recurrence relation for the moments of new operators and present explicit formula for the moments and central moments up to…

经典分析与常微分方程 · 数学 2016-06-23 Tuncer Acar

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

In this paper we construct Stancu type q-Kantrovich-Sz\'asz-Mirakjan operators generated by Dunkl generalization of the exponential function. We obtain some approximation results using the Korovkin approximation theorem and the weighted…

经典分析与常微分方程 · 数学 2016-03-29 M. Mursaleen , Taqseer Khan , Nasiruzzaman

The main object of this paper is to construct new Durrmeyer type operators which have better features than the classical one. Some results concerning the rate of convergence and asymptotic formulas of the new operator are given. Finally,…

数值分析 · 数学 2018-10-17 Ana Maria Acu , Vijay Gupta , Gancho Tachev

In the present paper, we consider $(p,q)$-analogue of the Baskakov-Beta operators and using it, we estimate some direct results on approximation. Also, we represent the convergence of these operators graphically using MATLAB.

经典分析与常微分方程 · 数学 2016-08-29 Neha Malik , Vijay Gupta

We give some Korovkin-type theorems on convergence and estimates of rates of approximations of nets of functions, satisfying suitable axioms, whose particular cases are filter/ideal convergence, almost convergence and triangular…

泛函分析 · 数学 2021-01-15 Antonio Boccuto , Xenofon Dimitriou

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
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