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

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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… Click to show full 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: linear combinations; operators integral; summation operators; orlicz spaces; combinations modified; modified summation

Journal Title: Mathematics
Year Published: 2018

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