Abstract

In the present paper we establish a link between the Jain-Pethe operators and its Kantorovich type integral modification, by applying the methods of finite differences. We also consider a modification of the Kantorovich variant, preserving affine functions and establish some direct results in weighted spaces.

中文翻译：

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Jain-Pethe 算子的 Kantorovich 变体

摘要

在本文中，我们通过应用有限差分方法建立了 Jain-Pethe 算子与其 Kantorovich 型积分修正之间的联系。我们还考虑对 Kantorovich 变体进行修改，保留仿射函数并在加权空间中建立一些直接结果。