Some New Inequalities for Lipschitz Functions via a Functional

Year 2019, , 301 - 306, 15.04.2019

Mahir Kadakal , İmdat İşcan , Cuma Altunsoy

https://doi.org/10.17714/gumusfenbil.436723

Abstract

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.

Keywords

Convex function, Lipschitz function, p-Convex function

Bir Fonksiyonel yardımı ile Lipschitz Fonksiyonları için Bazı Yeni Eşitsizlikler

Abstract

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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