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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…

Classical Analysis and ODEs · Mathematics 2018-10-19 Vishnu Narayan Mishra , Preeti Sharma Joshi , Lakshmi Narayan Mishra

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

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

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

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…

Functional Analysis · Mathematics 2019-12-24 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

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…

Classical Analysis and ODEs · Mathematics 2016-03-29 M. Mursaleen , Taqseer Khan , 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.…

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

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

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…

General Mathematics · Mathematics 2023-05-18 Mohammad Ayman-Mursaleen , Bishnu P. Lamichhane , Adem Kiliçman , Norazak Senu

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 the present paper we propose a Kantorovich variant of (p,q)-analogue of Szasz-Mirakjan operators. We establish the moments of the operators with the help of a recurrence relation that we have derived and then prove the basic convergence…

Classical Analysis and ODEs · Mathematics 2015-12-14 M. Mursaleen , Khursheed J. Ansari , Abylkassymova Elmira

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

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…

Classical Analysis and ODEs · Mathematics 2018-10-22 Preeti Sharma Joshi , Ghanshyam Singh Rathore

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…

Number Theory · Mathematics 2016-01-01 Abdul Wafi , Nadeem Rao

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…

Classical Analysis and ODEs · Mathematics 2016-03-21 M. Mursaleen , Md. Nasiruzzaman

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

In the present paper, we introduce a Choldowsky type generalization of the q Favard-Szasz operators and obtain weighted statistical approximation properties of these operators. We also establish the rates of statistical convergence by means…

Classical Analysis and ODEs · Mathematics 2015-05-27 Ali Karaisa

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…

Classical Analysis and ODEs · Mathematics 2015-11-23 M. Mursaleen , Md. Nasiruzzaman

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 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
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