TY - JOUR
T1 - Properties of Convergence for a Class of Generalized $q$-Gamma Operators. 
AU - Cai , Qing-Bo
JO - Journal of Mathematical Study
VL - 4
SP - 388
EP - 395
PY - 2014
DA - 2014/12
SN - 47
DO - http://doi.org/10.4208/jms.v47n4.14.03
UR - https://global-sci.org/intro/article_detail/jms/9964.html
KW - $q$-integer, $q$-Gamma operators, weighted approximation, modulus of continuity.
AB - <p style="text-align: justify;">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.</p>