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Related papers: Approximation by Modified Jain-Baskakov Operators

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In the present article we define the Phillips type modification of the generalized Sz\'asz-Mirakjan operators. Moments, recurrence formulas, and other identities are established for these operators. Approximation properties are also…

Classical Analysis and ODEs · Mathematics 2017-09-05 Vijay Gupta , G. C. Greubel

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 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

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

Here we research the univariate quantitative approximation of real and complex valued continuous functions on a compact interval or all the real line by quasi-interpolation, Baskakov type and quadrature type neural network operators. We…

Classical Analysis and ODEs · Mathematics 2014-04-28 George Anastassiou

This deals with the Stancu variant of (p, q)-Sz\'asz-Mirakyan-Baskakov operators. Estimation of moments and establishing few basic approximation results which comprise weighted approximation and direct estimates in view of modulus of…

Classical Analysis and ODEs · Mathematics 2016-02-26 Shikha Pandey , Vishnu Narayan Mishra

We introduce certain modified Sz\'{a}sz-Mirakyan operators in polynomial weighted spaces of functions of one variable. We studied approximation properties of these operators.

Classical Analysis and ODEs · Mathematics 2015-08-28 Prashantkumar Patel , Vishnu Narayan Mishra , Mediha Örkcü

The main object of this paper is to construct a new genuine Bernstein-Durrmeyer type operators which have better features than the classical one. Some direct estimates for the modified genuine Bernstein-Durrmeyer operator by means of the…

Numerical Analysis · Mathematics 2018-10-17 Ana Maria Acu , P. N. Agrawal

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 discusses the properties of a modified version of the Stancu variant Sz\'asz-Mirakjan Kantorovich type operators. We determine the order of approximation in terms of the modulus of continuity and second-order of smoothness, and…

Functional Analysis · Mathematics 2024-10-25 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

In the present paper, we deal with Bernstein-Chlodowsky type operators for approximating functions on the domain. We first present Bernstein-Chlodowsky type operators in two variables and then we discuss some examples of these operators…

General Mathematics · Mathematics 2025-01-08 Sevilay Kirci Serenbay , Rabia Aktaş Karaman

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

The main purpose of this paper is to determine the approximations of Durrmeyer modification of Szasz-Mirakjan operators, defined by Mishra et al. (Boll. Unione Mat. Ital. (2016) 8(4):297-305). We estimate the order of approximation of the…

Functional Analysis · Mathematics 2020-02-14 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

Although approximate Bayesian computation (ABC) has become a popular technique for performing parameter estimation when the likelihood functions are analytically intractable there has not as yet been a complete investigation of the…

Statistics Theory · Mathematics 2011-05-19 Thomas A. Dean , Sumeetpal S. Singh

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

A new type of combinations of Bernstein operators is given in [1]. Here, we introduce another one, which can be used to approximate the functions with singularities. The direct and inverse results of the weighted approximation of this new…

Functional Analysis · Mathematics 2011-06-28 Wen-ming Lu , Lin Zhang

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 present the Durrmeyer variant of generalized Bernstein operators that preserve the constant functions involving non-negative parameter ?. We derive the approximation behaviour of these operators including global…

Classical Analysis and ODEs · Mathematics 2018-08-07 Arun Kajla , Meenu Goyal

In this paper, we introduce a modification of the Szasz-Mirakjan-Kantorovich operators as well as Stancu operators [9] (or a Dunkl generalization of modified Szasz-Mirakjan-Kantrovich operators [5]) which preserve the linear functions.…

Classical Analysis and ODEs · Mathematics 2016-04-06 M. Mursaleen , Md. Nasiruzzaman

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