moment estimation and weighted approximation by modified bernstein kantrovinch operators - IIPSeries

Publication Type: Edited Book

MOMENT ESTIMATION AND WEIGHTED APPROXIMATION BY MODIFIED-BERNSTEIN KANTROVINCH OPERATORS

Book Name: Role and Application of Applied Mathematics
Authors: Smita Sonker , Priyanka Moond
Keywords: Modulus of continuity; Kantrovinch operator; Bernstein operator; Moment estimates
Area/Stream: Academic / Edited book / Applied Mathematics
Published in: IIP Series
Volume: 3, Month:December,Year:2024
Page No.: 31-41
e-ISBN: 978-93-6252-186-6
DOI/Link: https://www.doi.org/10.58532/nbennurrmch3

Abstract:

The present work deals with the Kantrovinch type modification of modified Bernstein operator. We discuss the rate of convergence of proposed operators by means of modulus of continuity and Peetre‘s K-functional for Hölder‘s class of functions. Further, we derive a Vornovskaya type asymptotic result and study weighted approxi- mation with polynomial growth. Also, numerical examples illustrating the error functions and the approximation of the proposed operators for some continuous as well as piecewise continuous functions are given.

Cite this: Smita Sonker , Priyanka Moond ,"MOMENT ESTIMATION AND WEIGHTED APPROXIMATION BY MODIFIED-BERNSTEIN KANTROVINCH OPERATORS", Role and Application of Applied Mathematics,IIP Series, Volume 3, December, 2024, Page no.31-41 , e-ISBN: 978-93-6252-186-6, DOI/Link: https://www.doi.org/10.58532/nbennurrmch3

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MOMENT ESTIMATION AND WEIGHTED APPROXIMATION BY MODIFIED-BERNSTEIN KANTROVINCH OPERATORS

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