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Approximation Properties by $q$-Durrmeyer-Stancu Operators

Approximation Properties by $q$-Durrmeyer-Stancu Operators

Year:    2013

Author:    G. lçöz, R. N. Mohapatra

Analysis in Theory and Applications, Vol. 29 (2013), Iss. 4 : pp. 373–383

Abstract

In this paper, we are dealing with $q$-Bernstein-Durrmeyer-Stancu operators. Firstly, we have estimated moments of these operators. Then we have discussed some approximation properties and asymptotic formulas. We have obtained better estimations by using King type approach and given statistical convergence for the operators.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2013.v29.n4.6

Analysis in Theory and Applications, Vol. 29 (2013), Iss. 4 : pp. 373–383

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    $q$-Durrmeyer operator $q$-Jackson integral $q$-Beta function.

Author Details

G. lçöz Email

R. N. Mohapatra Email

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