Dunkl generalization of Szász operators via q -calculus

Journal of inequalities and applications

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关键词: Dunkl analog;    generating functions;    Szász operator;    generalization of exponential function;    41A25;    41A36;    33C45;   

DOI  :  10.1186/s13660-015-0809-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We construct the linear positive operators generated by the q-Dunkl generalization of the exponential function. We have approximation properties of the operators via a universal Korovkin-type theorem and a weighted Korovkin-type theorem. The rate of convergence of the operators for functions belonging to the Lipschitz class is presented. We obtain the rate of convergence by means of the classical, second order, and weighted modulus of continuity, respectively, as well.

【 授权许可】

CC BY