Riemann-Liouville fractional Hermite-Hadamard inequalities. Part II: for twice differentiable geometric-arithmetically s -convex functions

Journal of inequalities and applications

YuMei Liao¹ 

关键词: fractional Hermite-Hadamard inequalities;    Riemann-Liouville fractional integrals;    geometric-arithmetically s-convex functions;   

DOI  :  10.1186/1029-242X-2013-517

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Motivated by the definition of geometric-arithmetically s-convex functions in (Shuang et al. in Analysis 33:197-208, 2013) and second-order fractional integral identities in (Zhang and Wang in J. Inequal. Appl. 2013:220, 2013; Wang et al. in Appl. Anal. 2012, doi:10.1080/00036811.2012.727986), we establish some interesting Riemann-Liouville fractional Hermite-Hadamard inequalities for twice differentiable geometric-arithmetically s-convex functions via beta function and incomplete beta function. MSC:26A33, 26A51, 26D15.

【 授权许可】

CC BY