İmdat İŞCAN, Mahir KADAKAL, Cuma ALTUNSOY

Some New Inequalities for Lipschitz Functions via a Functional

This study is about getting some new integral inequalities for Lipschitz functions by using a functional defined via a Lipschitz function. Here, some new Hermite-Hadamard (H-H) type inequalities are first found out as a corollary of main theorems. Afterwards, some new H-H type inequalities for Lipschitz functions by means of inequalities which are used for -convex functions are obtained.

Anahtar Kelimeler:

Convex function, Lipschitz function, p-Convex function

Bir Fonksiyonel yardımı ile Lipschitz Fonksiyonları için Bazı Yeni Eşitsizlikler

Bu çalışma, bir Lipschitz fonksiyonu yardımı ile tanımlanmış bir fonksiyonel kullanarak Lipschitz fonksiyonları için bazı yeni integral eşitsizliklerin elde edilmesi ile ilgilidir. Burada ilk önce, bazı yeni Hermite-Hadamard tipi eşitsizlikler, ana teoremlerin bir sonucu olarak ortaya çıkarılacaktır. Daha sonra ise, -konveks fonksiyonlar için kullanılan eşitsizlikler aracılığıyla Lipschitz fonksiyonları için yeni Hermite Hadamard tipi eşitsizlikler elde edilecektir.

Keywords:

Konveks fonksiyon, Lipschitz fonksiyonu, p-konveks fonksiyon,

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