On post quantum estimates of upper bounds involving twice \((p,q)\) -differentiable preinvex function

Journal of inequalities and applications

article

Muhammad Uzair Awan¹  Sadia Talib¹  Muhammad Aslam Noor²  Yu-Ming Chu³  Khalida Inayat Noor² 

[1] Department of Mathematics, Government College (GC) University;Department of Mathematics, COMSATS University Islamabad;Department of Mathematics, Huzhou University

关键词: Convex;    Preinvex;    \((p;    q)\) -calculus;    Bounds;    Inequalities;   

DOI  :  10.1186/s13660-020-02496-5

学科分类：电力

来源: SpringerOpen

【 摘 要 】

The main objective of this paper is to derive a new post quantum integral identity using twice $(p,q)$ -differentiable functions. Using this identity as an auxiliary result, we obtain some new post quantum estimates of upper bounds involving twice $(p,q)$ -differentiable preinvex functions.

【 授权许可】

CC BY