Some new integral inequalities for Lipschitzian functions

An International Journal of Optimization and Control: Theories & Applications

article

İmdat İşcan¹  Mahir Kadakal¹  Alper Aydın² 

[1] Giresun University;Giresun Üniversitesi

关键词: Integral inequalities;    Lipschitzian function;    Hermite-Hadamard inequality;    Integral means;   

DOI  :  10.11121/ijocta.01.2018.00565

学科分类：地球科学(综合)

来源: Balikesir University

【 摘 要 】

This paper is about obtaining some new type of integral inequalities for functions from the Lipschitz class. For this, some new integral inequalities related to the differences between the two different types of integral averages for Lipschitzian functions are obtained. Moreover, applications for some special means as arithmetic, geometric, logarithmic, -logarithmic, harmonic, identric are given.

【 授权许可】

CC BY