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《College Mathematics》 2018-01
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The Stechkin-Marchaud Inequality for Two Types of Interpolation Approximation in Orlicz Spaces

SUN Fang-mei;WU Garidi;College of Mathematics Science,Inner Mongolia Normal University;  
We investigate the approximation problems of Lagrange interpolation and Hermite-Fejer interpolation in Orlicz spaces,and obtain Stechkin-Marchaud inequality of these two types interpolation in Orlicz spaces by using the common methods and techniques in approximation theory of function,K-functional,modulus of continuity,Holder inequality,Jensen inequality of convex function,etc.
【Fund】: 国家自然科学基金(11761055);; 内蒙古自治区自然科学基金(2017MS0123);; 内蒙古自治区研究生科研创新基金(S20161013501)
【CateGory Index】: O178
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