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2篇 您的检索式:作者名="Sonia ACINAS"
    题名 作者 年代 出处 被引量
1Inequalities for the Extended Best Polynomial Approximation Operator in Orlicz Spaces显示文摘In this paper we pursue the study of the best approximation operator extended from L~Φ to L~φ, where φ denotes the derivative of the function Φ. We get pointwise convergence for the coefficients of the extended best approximation polynomials for a wide class of function f, closely related to the Calder′on–Zygmund class t_m^p(x) which had been introduced in 1961. We also obtain weak and strong type inequalities for a maximal operator related to the extended best polynomial approximation and a norm convergence result for the coefficients is derived. In most of these results, we have to consider Matuszewska–Orlicz indices for the function φ.Sonia ACINAS Sergio FAVIER Felipe ZO 2019Acta Mathematica Sinica,English Series2019,35,2:0
2Maximal Inequalities for the Best Approximation Operator and Simonenko Indices显示文摘In an abstract set up, we get strong type inequalities in L^(p+1) by assuming weak or extra-weak inequalities in Orlicz spaces. For some classes of functions, the number p is related to Simonenko indices. We apply the results to get strong inequalities for maximal functions associated to best Φ-approximation operators in an Orlicz space L~Φ.Sonia Acinas Sergio Favier 2017Analysis in Theory and Applications2017,33,3:0
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