Generalized geometrically convex functions and inequalities

Journal of inequalities and applications

Muhammad Aslam Noor¹ 

关键词: generalized convex functions;    generalized geometrically convex functions;    Hermite-Hadamard’s type inequalities;    Hölder’s inequality;    26D15;    26D10;    90C23;   

DOI  :  10.1186/s13660-017-1477-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we introduce and study a new class of generalized functions, called generalized geometrically convex functions. We establish several basic inequalities related to generalized geometrically convex functions. We also derive several new inequalities of the Hermite-Hadamard type for generalized geometrically convex functions. Several special cases are discussed, which can be deduced from our main results.

【 授权许可】

CC BY