Some weighted integral inequalities for differentiable preinvex and prequasiinvex functions with applications

Journal of inequalities and applications

Muhammad Amer Latif¹ 

关键词: Hermite-Hadamard’s inequality;    invex set;    preinvex function;    prequasiinvex;    Hölder’s integral inequality;    power-mean inequality;   

DOI  :  10.1186/1029-242X-2013-575

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we present weighted integral inequalities of Hermite-Hadamard type for differentiable preinvex and prequasiinvex functions. Our results, on the one hand, give a weighted generalization of recent results for preinvex functions and, on the other hand, extend several results connected with the Hermite-Hadamard type integral inequalities. Applications of the obtained results are provided as well. MSC: 26D15, 26D20, 26D07.

【 授权许可】

CC BY