Hermite-Hadamard Type Inequalities for Multiplicatively P-Functions

Year 2020, , 486 - 491, 15.04.2020

Serap Özcan

https://doi.org/10.17714/gumusfenbil.664386

Cited By: 5

Abstract

In
this study, we first establish some integral inequalities of Hermite-Hadamard
type in the setting of multiplicative calculus for multiplicatively -functions.
Then, by using some properties of this kind of functions, we obtain new inequalities
involving multiplicative integrals for product and quotient of multiplicatively
-functions
and convex functions.

Keywords

Convex Function, Hermite-Hadamard Inequalities, Multiplicative Calculus, Multiplicatively P-Function

Supporting Institution

Kırklareli Üniversitesi

Project Number

KLUBAP-191

Çarpımsal P-Fonksiyonlar İçin Hermite-Hadamard Tipli Eşitsizlikler

Abstract

Bu çalışmada, öncelikle, çarpımsal -fonksiyonlar için çarpımsal kalkülüs ortamında Hermite-Hadamard tipi
bazı integral eşitsizlikleri oluşturulmuştur. Daha sonra, bu tür fonksiyonların
bazı özellikleri kullanılarak, çarpımsal P-fonksiyonlar ile konveks
fonksiyonların çarpım ve bölümleri için çarpımsal integralleri içeren yeni
eşitsizlikler elde edilmiştir.

Keywords

Konveks Fonksiyon, Hermite-Hadamard Eşitsizlikleri, Çarpımsal Kalkülüs, Çarpımsal P-Fonksiyon

Project Number

KLUBAP-191

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