Open AccessApproximation properties of modified q-gamma operators preserving linear functions
Author(s) -
Wen-Tao Cheng,
Wenhui Zhang,
Jing Zhang
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2005601c
Subject(s) - mathematics , modulus of continuity , linear operators , rate of convergence , operator theory , convergence (economics) , type (biology) , spectral theorem , pure mathematics , discrete mathematics , mathematical analysis , key (lock) , ecology , economics , bounded function , biology , economic growth
In this paper, we introduce the q-analogue of modified Gamma operators preserving linear functions. We establish the moments of the operators using the q-Gamma functions. Next, some local approximation for the above operators are discussed. Also, the rate of convergence and weighted approximation by these operators in terms of modulus of continuity are studied. Furthermore, we obtain the Voronovskaja type theorem.