𝒏-polynomial Üstel Tip GA-Konveks Fonksiyonlar için Yeni İntegral Eşitsizlikleri

Year 2022, , 181 - 193, 25.04.2022

Ayşe Kübra Demirel

https://doi.org/10.53433/yyufbed.1064363

Abstract

Bu çalışmada, 𝑛-polinomal üstel tip GA-konveks fonksiyonlar adı verilen yeni bir konveks fonksiyon tipi tanıtılmıştır. Tanıtılan bu fonksiyonların bazı cebirsel özellikleri belirlenmiştir ve 𝑛-polinomal tip konveks fonksiyonlar için bazı yeni Hermite-Hadamard tipi integral eşitsizlikleri kanıtlanmıştır.

Keywords

GA-konvekslik, n-polinomal konvekslik, İntegral eşitsizliği

New Integral Inequalities for 𝒏-polynomial Exponential Type GA-Convex Functions

Abstract

In this paper, a new type of convex function called n-polynomial exponential type GA-convex functions is introduced. Some algebraic properties of these introduced functions are determined and the new Hermite-Hadamard type inequalities are proved for n-polynomial exponential type convex functions.

Keywords

GA-convexity, n-polynomial convexity, Integral inequality

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