Hadamard Type Integral Inequalities for Differentiable Geometrically Convex Functions

Yıl 2018, Cilt: 3 Sayı: 1, 14 - 31, 31.12.2018

Nurullah Kılıç Ahmet Ocak Akdemir

Öz

In this study, firstly two integral identity have been obtained and some Hadamard type integral inequalities have been proved for geometrically convex functions by using these two integral identities. Also, some applications related to findings have been given.

Bu çalışmada öncelikle iki integral eşitsizliği elde edilmiş ve bu iki eşitlik yardımıyla türevlenebilen geometrik konveks fonksiyonlar için bazı Hadamard tipli integral eşitsizlikler ispat edilmiştir. Ayrıca elde edilen bulgulara ait bazı uygulamalar verilmiştir. 

Anahtar Kelimeler

Hadamard Inequality, Geometrically convexity, Hölder inequality

Kaynakça

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