The saturation class for linear combinations of Szasz-Mirakjan operators

Xie Linsen; Wang Shuli; Zhao Kaifei

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The saturation class for linear combinations of Szasz-Mirakjan operators

机译：Szasz-Mirakjan运算符的线性组合的饱和类

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摘要

This paper investigates the regularity of a class of differential operators generated by Szasz-Mirakjan operators. With the aid of the regularity, the relation between the uniform saturated approximation order of linear combinations of Szasz-Mirakjan operators and the smoothness of the approximated functions is studied. The saturation class for linear combinations of Szasz-Mirakjan operators is characterized.

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来源
《International Journal of Wavelets, Multiresolution and Information Processing》 |2020年第6期|共16页
作者
Xie Linsen; Wang Shuli; Zhao Kaifei;
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作者单位

Lishui Univ Lishui 323000 Zhejiang Peoples R China;

Zhejiang Normal Univ Jinhua 321004 Zhejiang Peoples R China;

Zhejiang Normal Univ Jinhua 321004 Zhejiang Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;
关键词
Saturation; linear combination; Szasz-Mirakjan operator; regularity; K-functional;

机译：饱和度;线性组合;Szasz-mirakjan运营商;规律性;K-功能;

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5. Saturation and inverse theorems for combinations of a class of exponential-type operators [J] . C. P. May Canadian Journal of Mathematics . 1976,第1976期

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10. Galerkin finite difference Laplacian operators on isolated unstructured triangular meshes by linear combinations [R] . Baumeister, Kenneth J. 1990

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The saturation class for linear combinations of Szasz-Mirakjan operators

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