Estimates of quantum bounds pertaining to new q -integral identity with applications

Advances in Difference Equations

article

Awan, Muhammad Uzair¹  Talib, Sadia¹  Kashuri, Artion²  Noor, Muhammad Aslam³  Chu, Yu-Ming⁴ 

[1] Department of Mathematics, Government College (GC) University;Department of Mathematics, Faculty of Technical Science, University “Ismail Qemali”;Department of Mathematics, COMSATS University Islamabad;Department of Mathematics, Huzhou University;Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology

关键词: Convex;    Preinvex;    q -calculus;    Bounds;    Inequalities;    Special means;   

DOI  :  10.1186/s13662-020-02878-5

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this article, we establish a new generalized q-integral identity involving a q-differentiable function. Using this new auxiliary result, we obtain some new associated quantum bounds essentially using the class of preinvex functions. At the end, we present some applications to the special bivariate means to show the significance of the obtained results. Our approaches and obtained results may lead to further applications in physics.

【 授权许可】

CC BY