Q-CALCULUS

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Note on a New Construction of Kantorovich Form q-Bernstein Operators Related to Shape Parameter λ被引量：1
《Computer Modeling in Engineering & Sciences》2022年第3期1479-1493,共15页Qingbo Cai Resat Aslan 
This work is supported by the Natural Science Foundation of Fujian Province of China(Grant No.2020J01783);the Project for High-Level Talent Innovation and Entrepreneurship of Quanzhou(Grant No.2018C087R);the Program for New Century Excellent Talents in Fujian Province University.
The main purpose of this paper is to introduce some approximation properties of a Kantorovich kind q-Bernstein operators related to B′ezier basis functions with shape parameterλ∈[−1,1].Firstly,we compute some basic...
关键词：Q-CALCULUS (λ q)-Bernstein polynomials order of convergence Lipschitz-type function Peetre’s K-functional 
APPROXIMATION PROPERTIES OF rth ORDER GENERALIZED BERNSTEIN POLYNOMIALS BASED ON q-CALCULUS被引量：1
《Analysis in Theory and Applications》2011年第1期40-50,共11页Honey Sharma 
In this paper we introduce a generalization of Bernstein polynomials based on q calculus. With the help of Bohman-Korovkin type theorem, we obtain A-statistical approximation properties of these operators. Also, by us...
关键词：q- integers q-Bernstein polynomials A-statistical convergence modulus ofcontinuity Lipschitz class Peetre＇s type K-functional 
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