@Article{JMS-47-388, author = {Cai , Qing-Bo}, title = {Properties of Convergence for a Class of Generalized $q$-Gamma Operators. }, journal = {Journal of Mathematical Study}, year = {2014}, volume = {47}, number = {4}, pages = {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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v47n4.14.03}, url = {http://global-sci.org/intro/article_detail/jms/9964.html} }