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Properties of Convergence for a Class of Generalized $q$-Gamma Operators.

Properties of Convergence for a Class of Generalized $q$-Gamma Operators.
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Year:    2014

Author:    Qing-Bo Cai

Journal of Mathematical Study, Vol. 47 (2014), Iss. 4 : pp. 388–395

Abstract

In this paper, a generalization of $q$-Gamma operators based on the concept of $q$-integer is introduced. We investigate the moments and central moments of the operators by computation, obtain a local approximation theorem and get the pointwise convergence rate theorem and also obtain a weighted approximation theorem. Finally, a Voronovskaya type asymptotic formula was given.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v47n4.14.03

Journal of Mathematical Study, Vol. 47 (2014), Iss. 4 : pp. 388–395

Published online:    2014-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    $q$-integer $q$-Gamma operators weighted approximation modulus of continuity.

Author Details

Qing-Bo Cai

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