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Related papers: Some approximation results on Bleimann-Butzer-Hahn…

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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…

Classical Analysis and ODEs · Mathematics 2015-11-27 M. Mursaleen , Taqseer 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…

Classical Analysis and ODEs · Mathematics 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…

Classical Analysis and ODEs · Mathematics 2016-01-18 M. Mursaleen , Khursheed J. Ansari , Asif Khan

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.

Classical Analysis and ODEs · Mathematics 2016-01-01 M. Mursaleen , Md. Nasiruzzaman

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…

Classical Analysis and ODEs · Mathematics 2015-06-09 M. Mursaleen , Faisal 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…

Classical Analysis and ODEs · Mathematics 2016-10-12 M. Mursaleen , Khursheed J. Ansari , Asif Khan

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…

Classical Analysis and ODEs · Mathematics 2017-06-23 Honey Sharma , Cheena Gupta , Ramapati Maurya

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…

Classical Analysis and ODEs · Mathematics 2016-02-23 Abdul Wafi , Nadeem Rao

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…

Classical Analysis and ODEs · Mathematics 2016-03-31 U. Kadak , Asif Khan , M. Mursaleen

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.…

Classical Analysis and ODEs · Mathematics 2017-06-05 Asif Khan , Vinita Sharma

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…

Classical Analysis and ODEs · Mathematics 2016-02-23 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…

Classical Analysis and ODEs · Mathematics 2016-02-24 Vishnu Narayan Mishra , Shikha Pandey

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…

Classical Analysis and ODEs · Mathematics 2016-04-19 Bhausaheb R. Sontakke , Amjad Shaikh

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.

Classical Analysis and ODEs · Mathematics 2015-11-30 M. Mursaleen , Md. Nasiruzzaman , Ashirbayev Nurgali

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…

Classical Analysis and ODEs · Mathematics 2016-03-18 Gradimir V. Milovanovic , Vijay Gupta , Neha Malik

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.

Classical Analysis and ODEs · Mathematics 2016-08-29 Neha Malik , Vijay Gupta

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 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…

Classical Analysis and ODEs · Mathematics 2015-08-28 Vishnu Narayan Mishra , Preeti Sharma , Adem Kilicman , Dilip Jain

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…

Classical Analysis and ODEs · Mathematics 2016-02-15 Vishnu Narayan Mishra , M. Mursaleen , Shikha Pandey

In this paper, we introduce a new analogue of Lorentz polynomials based on (p,q)-integers and we call it as (p,q)-Lorentz polynomials. We obtain quantitative estimate in the Voronovskaja's type thoerem and exact orders in simultaneous…

Classical Analysis and ODEs · Mathematics 2015-04-21 M. Mursaleen , Faisal Khan , Asif Khan
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