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相关论文: On King type modification of $(p,q)$-Lupa\c{s} Ber…

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In this paper, we introduce the higher order generalization of Bernstein type operators defined by (p,q)-integers. We establish some approximation results for these new operators by using the modulus of continuity.

经典分析与常微分方程 · 数学 2016-01-01 M. Mursaleen , Md. Nasiruzzaman

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

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 this paper, some approximation properties of $(p,q)$-analogue of Bernstein-Stancu Operators has been studied. Rate of statistical convergence by means of modulus of continuity and Lipschitz type maximal functions has been investigated.…

经典分析与常微分方程 · 数学 2017-06-05 Asif Khan , Vinita Sharma

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 paper, we present a new type of $\alpha-$Bernstein-P\u{a}lt\u{a}nea operators having a better order of approximation than itself. We establish some approximation results concerning the rate of convergence, error estimation and…

经典分析与常微分方程 · 数学 2020-06-05 Jaspreet Kaur , Meenu Goyal

In the present study, we have given a corrigendum to our paper on the approximation properties of bivariate $(p, q)-$Bernstein operators. Recently, we \cite{kar} have defined the bivariate $(p, q)-$Bernstein operators. Later, we have aware…

经典分析与常微分方程 · 数学 2016-02-03 Ali Karaisa

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

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 the present article, we have given a corrigendum to our paper ``On (p,q)-analogue of Bernstein operators" published in Applied Mathematics and Computation 266 (2015) 874-882.

经典分析与常微分方程 · 数学 2015-11-23 M. Mursaleen , Khursheed J. Ansari , Asif Khan

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

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 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 introduce Durrmeyer type modification of Meyer-Konig-Zeller operators based on (p,q)-integers. Rate of convergence of these operators are explored with the help of Korovkin type theorems. We establish some direct results…

经典分析与常微分方程 · 数学 2017-06-23 Honey Sharma , Cheena Gupta , Ramapati Maurya

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

In this paper, we discuss rates of convergence for the Lupa\c{s} $q$-analogue of Bernstein polynomials $R_{n,q}$. We prove a quantitative variant of Voronovskaja's theorem for $R_{n,q}$

泛函分析 · 数学 2016-08-14 N. I. Mahmudov , P. Sabancıgil

In the present paper, we consider (p,q)-analogue of the Beta operators and using it, we propose the integral modification of the generalized Bernstein polynomials. We estimate some direct results on local and global approximation. Also, we…

经典分析与常微分方程 · 数学 2016-03-18 Gradimir V. Milovanovic , Vijay Gupta , Neha Malik

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 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

In the present article, we have given a corrigendum to our paper "Some approximation results on Bernstein-Schurer operators defined by (p,q)-integers" published in Journal of In- equalities and Applications (2015) 2015:249.

经典分析与常微分方程 · 数学 2015-11-30 M. Mursaleen , Md. Nasiruzzaman , Ashirbayev Nurgali
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