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

Yıl 2019, Cilt: 9 Sayı: 2, 1073 - 1081, 01.06.2019

Huriye Kadakal

https://doi.org/10.21597/jist.471279

Öz

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.

Anahtar Kelimeler

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

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

Öz

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.

Anahtar Kelimeler

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

Kaynakça

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