n-kere Türevlenebilen h-konveks ve h-konkav fonksiyonlar için İntegral Eşitsizlikler

Abstract

Bu çalışmada, hem Hölder hem de Power-Mean integral eşitsizliği ile birlikte bir integral eşitliği kullanılarak n-kere türevlenebilen -konveks ve -konkav fonksiyonlar için bir kaç yeni eşitsizlik bulunmuştur.

Keywords

• h-konveks ve h-konkav fonksiyon,Hölder ve Hermite-Hadamard eşitsizliği

Integral Inequalities for n-Times Differentiable h-Convex and h-Concave Functions

Abstract

In this study, we get several new inequalities for n-times differentiable -convex and -concave functions by applying an integral identity together with both the Hölder and the Power-Mean integral inequality.

Keywords

• h-convex and h-concave function,Hölder and Hermite-Hadamard inequality

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