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In this paper, we construct generalized Baskakov Kantorovich operators. We establish some direct results and then study weighted approximation, simultaneous approximation and statistical convergence properties for these operators. Finally,…

Classical Analysis and ODEs · Mathematics 2015-09-09 P. N. Agrawal , Meenu Goyal

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 this paper, bivariate Szasz-Mirakjan type operators are introduced along with the estimation of its approximation properties and its rate of convergence. Furthermore, to check the asymptotic behavior of the said bivariate operators, the…

Numerical Analysis · Mathematics 2019-11-21 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

The purpose of this paper is to construct a bivariate generalization of new family of Kantorovich type sampling operators $(K_w^{\varphi}f)_{w>0}.$ First, we give the pointwise convergence theorem and a Voronovskaja type theorem for these…

Functional Analysis · Mathematics 2017-11-15 A. Sathish Kumar , P. Devaraj

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

his paper deals with approximating properties of the newly defined $q$-generalization of the Sz\'{a}sz operators in the case $q>1$. Quantitative estimates of the convergence in the polynomial weighted spaces and the Voronovskaja's theorem…

Functional Analysis · Mathematics 2010-05-24 Nazim I. Mahmudov

We analyse the approximation properties of the bivariate generalization of the family of Kantorovich type exponential sampling series. We derive the point-wise and Voronovskaya type theorem for these sampling type series. Using the modulus…

Functional Analysis · Mathematics 2020-07-21 Prashant Kumar , A. Sathish Kumar , Shivam Bajpyei

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 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 article, we analyse the Kantorovich type exponential sampling operators and its linear combination. We derive the Voronovskaya type theorem and its quantitative estimates for these operators in terms of an appropriate K-functional.…

Functional Analysis · Mathematics 2020-02-10 B. Shivam , A. Sathish Kumar

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 the present paper, we introduce Stancu-variant of generalized Baskakov operators and study the rate of convergence using modulus of continuity, order of approximation for the derivative of function f . Direct estimate is proved using…

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

The present paper deals with a generalization of the Baskakov operators. Some direct theorems, asymptotic formula and $A$-statistical convergence are established. Our results are based on a $\rho$ function. These results include the…

Classical Analysis and ODEs · Mathematics 2016-08-08 Prashantkumar Patel , Vishnu Narayan Mishra , Mediha Örkcü

In the present note, we give the generalization of $\alpha-$Baskakov Durrmeyer operators depending on a real parameter $\rho$ > 0. We present the approximation results in Korovkin and weighted Korovkin spaces. We also prove the order of…

Classical Analysis and ODEs · Mathematics 2020-12-29 Jaspreet Kaur , Meenu Goyal

The purpose of this article is to give a Chlodowsky type generalization of Szasz operators defined by means of the Sheffer type polynomials. We obtain convergence properties of our operators with the help of Korovkin's theorem and the order…

Classical Analysis and ODEs · Mathematics 2016-01-06 M. Mursaleen , Khursheed J. Ansari

The aim of this article is to introduce the Kantorovich form of generalized Szasz-type operators involving Charlier polynomials with certain parameters. In this paper we discussed the rate of convergence better error estimates and…

Classical Analysis and ODEs · Mathematics 2015-09-16 Abdul Wafi , Nadeem Rao

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 article, we analyse the behaviour of a new family of Kantorovich type sampling operators $(K_w^{\varphi}f)_{w>0}.$ First, we give a Voronovskaya type theorem for these Kantorovich generalized sampling series and a…

Classical Analysis and ODEs · Mathematics 2017-09-12 A. Sathish Kumar , P. Devaraj

In this paper, we introduce a Kantorovich type generalization of Jakimovski-Leviatan operators constructed by A. Jakimovski and D. Leviatan (1969) and the theorems on convergence and the degrree of convergence are established. Furthermore,…

Classical Analysis and ODEs · Mathematics 2015-10-30 Didem Aydin Ari , Sevilay Kirci Serenbay

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
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