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UN Sustainable Development : Reduced inequalities ✕Department : Uygulamalı Matematik ... ✕
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Reduced inequalitiesReduce inequality within and among countries
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Exponentially Convex Functions on the Coordinates and Novel Estimations via Riemann-Liouville Fractional Operator

Ercan ÇELİK

In this study, the modification of the concept of exponentially convex function, which is a general version of convex functions, given on the coordinates, is recalled. With the help of an integral identity which includes the Riemann-Liouville (RL) fractional integral operator, new Hadamard-type inequalities are proved for exponentially convex functions on the coordinates. Many special cases of the results are discussed. Keywords: hadamard-type inequalities; rectangle

Article 2023 Fen Fakültesi Journal of Function Spaces2023 48 Views
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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

Article 2019 Fen Fakültesi Mathematica Slovaca69 ( 6 ) 60 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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