Trapezoidal-Type Inequalities for Strongly Convex and Quasi-Convex Functions via Post-Quantum Calculus

Entropy

卷:23

Muhammad Amer Latif¹  Humaira Kalsoom²  Miguel Vivas-Cortez³ 

[1] Department of Basic Sciences, Deanship of Preparatory Year, King Faisal University, Hofuf 31982, Al-Hasa, Saudi Arabia;

[2] Department of Mathematical, Zhejiang Normal University, Jinhua 321004, China;

[3] Escuela de Ciencias Físicas y Matemáticas, Facultad de Ciencias Naturales y Exactas Pontificia Universidad Católica del Ecuador, Sede Quito 17-01-2184, Ecuador;

关键词: (p,q)-calculus;    trapezoidal (p,q)_κ1-integral and (p,q)^κ2-integral;    strongly convex functions;    strongly quasi-convex functions;   

DOI  :  10.3390/e23101238

来源: DOAJ

【 摘 要 】

In this paper, we establish new $(p,q){}_{{\kappa }_1}$-integral and $(p,q){}^{{\kappa }_2}$-integral identities. By employing these new identities, we establish new $(p,q){}_{{\kappa }_1}$ and $(p,q){}^{{\kappa }_2}$- trapezoidal integral-type inequalities through strongly convex and quasi-convex functions. Finally, some examples are given to illustrate the investigated results.

【 授权许可】

Unknown