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