Generalized geometrically convex functions and inequalities

Journal of Inequalities and Applications

卷:2017

Khalida Inayat Noor¹  Farhat Safdar¹  Muhammad Aslam Noor² 

[1] Department of Mathematics, COMSATS Institute of Information Technology;

[2] Department of Mathematics, King Saud University;

关键词: generalized convex functions;    generalized geometrically convex functions;    Hermite-Hadamard’s type inequalities;    Hölder’s inequality;   

DOI  :  10.1186/s13660-017-1477-x

来源: DOAJ

【 摘 要 】

Abstract 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】

Unknown