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The article concerns the average onesided widths of the Sobolev and Besov classes and the classes of functions with bounded moduli of smoothness. The weak asymptotic results are obtained for the corresponding quantities. 相似文献
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Let X be a Banach space and Ф be an Orlicz function. Denote by L^Ф(I,X) the space of X-valued (I)-integrable functions on the unit interval I equipped with the Luxemburg norm. For f1,f2,... ,fm ∈ L^Ф(I,X), a distance formula distv(f1,f2,... ,fm,L^Ф(I,G)) is presented, where G is a close subspace of X. Moreover, some existence and characterization results concerning the best simultaneous approximation of L^Ф (I, G) in L^Ф (I, X) axe given. 相似文献
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1IntroductionTheonesidedapproximationofseveralvariablesisfirstlystudiedbyV.A.Popovintheeighties.V.H.HristovandK.G.Ivanov[1]st... 相似文献
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