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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 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

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

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 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 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 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

In the present paper, we consider Stancu type generalization of Baskakov-Kantorovich operators based on the q-integers and obtain statistical and weighted statistical approximation properties of these operators. Rates of statistical…

经典分析与常微分方程 · 数学 2015-08-28 Vishnu Narayan Mishra , Preeti Sharma , Adem Kilicman , Dilip Jain

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

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 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 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 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 the present paper, we introduce the Chlodowsky variant of (p,q) Bernstein-Stancu-Schurer operators which is a generalization of (p,q) Bernstein-Stancu-Schurer operators. We have also discussed its approximation properties and rate of…

经典分析与常微分方程 · 数学 2016-02-15 Vishnu Narayan Mishra , M. Mursaleen , Shikha Pandey

In the present paper, we consider Stancu type generalization of Baskakov-Sz\'{a}sz operators based on the q-integers and obtain statistical and weighted statistical approximation properties of these operators. Rates of statistical…

经典分析与常微分方程 · 数学 2018-10-19 Vishnu Narayan Mishra , Preeti Sharma Joshi , Lakshmi Narayan Mishra

The aim of this research is to examine various statistical approximation properties with respect to Kantorovich \textit{\text{\texthtq}}-Baskakov operators using wavelets. We discuss and investigate a weighted statistical approximation…

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 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

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
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