首页|The Degree of Approximation by(E,q)(C,α,β)Means in Orlicz Spaces

The Degree of Approximation by(E,q)(C,α,β)Means in Orlicz Spaces

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In this paper,we study the trigonometric approximation problems of functions which belong to the Lipα class,the Lip(ζ(t))class,and the W(L*M;ζ(t))class in Orlicz spaces by using the tools Holder inequality in Orlicz spaces,the second mean value theorem for integrals,and(E,q)(C,α,β)means etc.At the same time,we give the corresponding degree of approximation.

Orlice spaceTrigonometric approximationDegree of approximation

CHEN Lin、WU Ga-ridi

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College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010022,China

Laboratory of Infinite-dimensional Hamiltonian System and Its Algorithm Application,Inner Mongolia,Hohhot 010022,China

Center for Applied Mathematical Science,Inner Mongolia,Hohhot 010022,China

2024

数学季刊(英文版)
河南大学

数学季刊(英文版)

影响因子:0.201
ISSN:1002-0462
年,卷(期):2024.39(4)