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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 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 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 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 are dealing with a new type of Baskakov-Schurer-Szasz operators (\ref{eq1}). Approximation properties of this operators are explored: the rate of convergence in terms of the usual moduli of smoothness is given, the…

Functional Analysis · Mathematics 2015-08-24 Vishnu Narayan Mishra , Preeti Sharma

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

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 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 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 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

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 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 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, 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 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

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

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 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

This paper is in continuation of our work in \cite{PNM}, wherein we introduced generalized Baskakov Kantorovich operators $K_n^a(f;x)$ and established some approximation properties e.g. local approximation, weighted approximation,…

Classical Analysis and ODEs · Mathematics 2015-05-25 Meenu Goyal , P. N. Agrawal
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