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Subject Headings : inverse approximatio ... ✕Researcher : Fahreddin ABDULLAYEV ✕
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Prof. Dr. Fahreddin ABDULLAYEVFen Fakültesi
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Direct and inverse approximation theorems of functions in the Musielak-Orlicz type spaces

Fahreddin ABDULLAYEV

In Musilak-Orlicz type spaces S-M, direct and inverse approximation theorems are obtained in terms of the best approximations of functions and generalized moduli of smoothness. The question of the exact constants in Jackson-type inequalities is studied.

Article 2021 Fen Fakültesi Mathematical Inequalities & Applications24 ( 2 ) 38 Views
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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 ...More

Article 2020 Fen Fakültesi Turkish Journal of Mathematics44 ( 1 ) 37 Views
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