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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 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 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, 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 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, we introduce generalized Baskakov Kantorovich Stancu type operators and investigate direct result, local approximation and weighted approximation properties of these operators. Modulus of continuity, second modulus of…

Numerical Analysis · Mathematics 2015-08-06 Abdul Wafi , Nadeem Rao

In this paper, we give an interesting generalization of the Stancu type Baskakov-Kantorovich operators based on the q-integers and investigate their approximation properties. Also, we obtain the estimates for the rate of convergence for a…

Functional Analysis · Mathematics 2011-02-15 Cigdem Atakut , Ibrahim Buyukyazici

In this paper, we introduce a Stancu type generalization of the q-Favard-Szasz operators, estimate the rates of statistical convergence and study the local approximation properties of these operators.

Functional Analysis · Mathematics 2014-07-11 Ali Karaisa , Durhasan Turgut Tollu , Yasin Asar

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

Our main purpose of this article is to study the convergence and other related properties of q-Bernstein-Kantorovich operators including the shifted knots of real positive numbers. We design the shifted knots of Bernstein-Kantorovich…

General Mathematics · Mathematics 2022-01-12 Mohammad Ayman Mursaleen , Adem Kilicman , Md. Nasiruzzaman

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 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

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

The present paper deals with the Stancu type generalization of the Kantorovich discrete $q$-Beta operators. We establish some direct results, which include the asymptotic formula and error estimation in terms of the modulus of continuity…

Classical Analysis and ODEs · Mathematics 2015-08-25 Preeti Sharma , Vishnu Narayan Mishra

In the present manuscript, we present a new sequence of operators, $i.e.$, $\alpha$-Bernstein-Schurer-Kantorovich operators depending on two parameters $\alpha\in[0,1]$ and $\rho>0$ for one and two variables to approximate measurable…

General Mathematics · Mathematics 2022-08-29 Nadeem Rao , Mamta Rani , Adem Kiliçman , Pradeep Malik , Mohammad Ayman-Mursaleen

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 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

We introduce and study a family of integral operators in the Kantorovich sense for functions acting on locally compact topological groups. We obtain convergence results for the above operators with respect to the pointwise and uniform…

Functional Analysis · Mathematics 2014-08-26 Gianluca Vinti , Luca Zampogni

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…

Classical Analysis and ODEs · Mathematics 2019-02-25 Faruk Özger

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
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