Kesirli İntegrasyon Yardımıyla (h-s)-2-Preinveks Fonksiyonlar İçin Hermite-Hadamard Tipli Eşitsizlikler

Year 2020, , 132 - 144, 28.02.2020

Emetullah Yağız , Havva Kavurmacı Önalan

https://doi.org/10.18185/erzifbed.638456

Abstract

Bu çalışmada (h-s)-2-preinveks fonksiyon sınıfı tanımlanmıştır.Bu sınıf kullanılarak Hermite-Hadamard tipli eşitsizlikler kesirli integrasyon yardımıyla elde edilmiştir. Elde edilen sonuçların literatürle desteklendiği gösterilmiştir.

Keywords

eşitsizlikler, kesirli integraller, Hermite-Hadamard, (h-s)-2 preinveks fonksiyon sınıfı

Hermite-Hadamard Type Inequalities For (𝒉−𝒔)𝟐−𝑷𝒓𝒆𝒊𝒏𝒗𝒆𝒙 Mapping Via Fractional Integrals

Abstract

In this paper, we define the (ℎ−𝑠)2−𝑝𝑟𝑒𝑖𝑛𝑣𝑒𝑥 function class. Using the (ℎ−𝑠)2−𝑝𝑟𝑒𝑖𝑛𝑣𝑒𝑥 function we will obtain new Hermite-Hadamard type inequalities with the help of fractional integrals.

Keywords

ℎ−𝑠)2−𝑝𝑟𝑒𝑖𝑛𝑣𝑒𝑥 function class, inequalities, fractional integrals, Hermite-Hadamard inequality.

References

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