Approximation Properties of Lupa?-Beta Operators Based on Pochhammer k-Symbol
The application of curve and surface modeling of parametric basis functions,and the structural properties and convergence properties of the corresponding operators have attracted extensive attention from scholars at home and abroad.Therefore,in this paper,a type of Lupaş-Beta screen parameter operators based on Pochhammer k-symbol is constructed by us-ing Beta function for the first time.The Voronovskaya type asymptotic formula of the operators is studied using center mo-ment,the global approximation of the operators is discussed according to Ditzian-Totik moduli of smoothness and Peetre'K-functional,the pointwise estimate of the operators in terms of derivatives being bounded variation functions is studied by com-bining it with decomposition technique of functions and interval division technique.The research in this paper will provide the key theoretical basis for the application of this operator in curve and surface modeling.
Lupaş-Beta operatorsPochhammer k-symbolglobal approximationfunctions of bounded variation
万方数据
维普
