New inequalities of hermite-hadamard type for convex functions with applications

Journal of inequalities and applications

Havva Kavurmaci¹ 

关键词: Convex function;    Hermite-Hadamard inequality;    Hölder inequality;    Power-mean inequality;    Special means;    Trapezoidal formula;   

DOI  :  10.1186/1029-242X-2011-86

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, some new inequalities of the Hermite-Hadamard type for functions whose modulus of the derivatives are convex and applications for special means are given. Finally, some error estimates for the trapezoidal formula are obtained. 2000 Mathematics Subject Classiffication. 26A51, 26D10, 26D15.

【 授权许可】

CC BY