On Approximation by Linear Combinations of Modified Summation Operators of Integral Type in Orlicz Spaces

Ling-Xiong Han and Feng Qi
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Ling-Xiong Han: College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, Inner Mongolia, China
Feng Qi: Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, Henan, China

Mathematics, 2018, vol. 7, issue 1, 1-10

Abstract: In this paper, the authors introduce the Orlicz spaces corresponding to the Young function and, by virtue of the equivalent theorem between the modified K -functional and modulus of smoothness, establish the direct, inverse, and equivalent theorems for linear combinations of modified summation operators of integral type in the Orlicz spaces.

Keywords: approximation; linear combination; direct theorem; inverse theorem; equivalent theorem; Orlicz space; modified summation operators of integral type; K -functional; modulus (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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