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Устойчивое развитие ООН : Достойная работа и э ... ✕Ученые : Fahreddin ABDULLAYEV ✕

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Prof. Dr. Fahreddin ABDULLAYEVFen Fakültesi

Достойная работа и экономический ростПоддержка стабильного, всеобъемлющего и устойчивого экономического роста, полной и продуктивной занятости и достойных рабочих мест для всех

Direct and inverse approximation theorems of functions in the Orlicz type spaces S-M

Fahreddin ABDULLAYEV

In the Orlicz type spaces S-M, we prove direct and inverse approximation theorems in terms of the best approximations of functions and moduli of smoothness of fractional order. We also show the equivalence between moduli of smoothness and Peetre K-functionals in the spaces S-M. (C) 2019 Mathematical Institute Slovak Academy of Sciences

Статья 2019 Fen Fakültesi Mathematica Slovaca69 ( 6 ) 60 Просмотры

Direct and inverse approximation theorems in the weighted Orlicz-type spaces with a variable exponent

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

In weighted Orlicz-type spaces S-p,S- (mu) with a variable summation exponent, the direct and inverse approximation theorems are proved in terms of best approximations of functions and moduli of smoothness of fractional order. It is shown that the constant obtained in the inverse approximation theorem is the best in a certain sense. Some applications of the results are also proposed. In particular, the constructive characteristics of functional classes defined by such moduli of smoothness are given. Equivalence between moduli of smoothness and certain Peetre K-functionals is shown in the space ...Более

Статья 2020 Fen Fakültesi Turkish Journal of Mathematics44 ( 1 ) 37 Просмотры

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