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

Autor:	Feng Qi, Ling-Xiong Han
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	Pure mathematics Modulus of smoothness General Mathematics K-functional Modulus Inverse linear combination Type (model theory) 01 natural sciences Direct theorem modified summation operators of integral type Computer Science (miscellaneous) 0101 mathematics Linear combination inverse theorem Orlicz space Engineering (miscellaneous) approximation Mathematics Mathematics::Functional Analysis lcsh:Mathematics 010102 general mathematics Function (mathematics) direct theorem lcsh:QA1-939 010101 applied mathematics equivalent theorem modulus
Zdroj:	Mathematics Volume 7 Issue 1 BASE-Bielefeld Academic Search Engine Mathematics, Vol 7, Iss 1, p 6 (2018)
ISSN:	2227-7390
DOI:	10.3390/math7010006
Popis:	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.
Databáze:	OpenAIRE
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