Open Access
Feb 2017 Approximation by modified Jain-Baskakov-Stancu operators
Alok Kumar, Lakshmi Narayan Mishra
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Tbilisi Math. J. 10(2): 185-199 (Feb 2017). DOI: 10.1515/tmj-2017-0035

Abstract

In this paper, we introduce a Stancu type generalization of modified Jain-Baskakov operators with parameter $c$. We studied some direct results in ordinary approximation. Also, the rate of convergence in terms of the modulus of continuity and weighted approximation by these operators are studied. Lastly, we give better estimations of the above operators using King type approach.

Citation

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Alok Kumar. Lakshmi Narayan Mishra. "Approximation by modified Jain-Baskakov-Stancu operators." Tbilisi Math. J. 10 (2) 185 - 199, Feb 2017. https://doi.org/10.1515/tmj-2017-0035

Information

Received: 13 December 2016; Accepted: 24 April 2017; Published: Feb 2017
First available in Project Euclid: 26 May 2018

zbMATH: 1371.41021
MathSciNet: MR3663439
Digital Object Identifier: 10.1515/tmj-2017-0035

Subjects:
Primary: 41A25
Secondary: 26A15 , 40A35

Keywords: Baskakov operators , Jain operators , modulus of continuity , rate of convergence , weighted approximation

Rights: Copyright © 2017 Tbilisi Centre for Mathematical Sciences

Vol.10 • No. 2 • Feb 2017
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