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.