论文标题

涉及多个Sheffer多项式的Szász运营商的概括

Generalization of Szász operators involving multiple Sheffer polynomials

论文作者

Ali, Mahvish, Paris, Richard B.

论文摘要

本工作涉及对Szász运营商的一些概括的数学研究。在这项工作中,引入了多个Sheffer多项式。考虑了涉及多个Sheffer多项式的Szász运算符的概括。这些操作员的收敛性能在Universal Korovkin型属性的帮助下进行验证,并通过使用经典的连续性模量来计算近似顺序。理论上的结果是选择多个Sheffer多项式的特殊情况。

The present work deals with the mathematical investigation of some generalizations of the Szász operators. In this work, the multiple Sheffer polynomials are introduced. The generalization of Szász operators involving multiple Sheffer polynomials are considered. Convergence properties of these operators are verified with the help of the universal Korovkin-type property and the order of approximation is calculated by using classical modulus of continuity. The theoretical results are exemplified choosing the special cases of multiple Sheffer polynomials.

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