A generalization of szász operators with the help of new kind Appell polynomials

IF 1.3 Q3 COMPUTER SCIENCE, THEORY & METHODS Mathematical foundations of computing Pub Date : 2023-01-01 DOI:10.3934/mfc.2023038
Gürhan İÇÖZ, Zehra Tat
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Abstract

In this article, we define a new operator by Appell polynomials. Primarily, some equations are obtained by using the properties of Korovkin theorem. Later, the convergence of the operator sequence that we have defined has been proved and some approximation results have been given by using the properties of approximation theory.
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借助一类新的阿佩尔多项式对szász算子的推广
在本文中,我们用apell多项式定义了一个新的算子。首先,利用科洛夫金定理的性质得到了一些方程。然后,利用逼近理论的性质,证明了所定义的算子序列的收敛性,并给出了一些近似结果。
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