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On the optimal error bound for cubature formulae on certain classes of continuous functions
AbstractВ НАстОьЩЕИ РАБОтЕ НА ИДЕНА тОЧНАь АсИМптО тИкА ОптИМАльНОИ ОцЕНкИ п ОгРЕшНОстИ кУБА, тУРНых ФОРМУл Дль клА ссОВ ФУНкцИИHω(А), ОпРЕДЕлЕННых МАжОРА НтОИ МОДУлЕИ НЕпРЕРы ВНОстИ, гДЕА —Expand
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Approximations, widths and optimal quadrature formulae for classes of periodic functions with rearrangement invariant sets of derivatives
AbstractПустьL1 — пространств о интегрируемых на пе риоде вещественных 2π — пери одических функций с соответств ующей нормой ∥ · ∥1;H — конечномерное подп ространствоL1;а, β>0. ПустьExpand
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Multivariate Inequalities of Kolmogorov Type and Their Applications
Connections of inequalities of Kolmogorov type given in the form of inequalities for support functions of convex sets with some problems of analysis will be investigated. Our results will be orientedExpand
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Inequalities for Norms of Intermediate Derivatives and Some Their Applications
This survey is devoted to inequalities of Landau-Hadamard-Kolmogorov type for norms of intermediate derivatives of some classes of functions. Some general schemes for obtaining inequalities and theirExpand
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