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

Humaira Kalsoom; Miguel Vivas-Cortez; Muhammad Amer Latif

doi:10.3390/e23101238

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

Entropy (Basel). 2021 Sep 22;23(10):1238. doi: 10.3390/e23101238.

Authors

Humaira Kalsoom¹, Miguel Vivas-Cortez², Muhammad Amer Latif³

Affiliations

¹ Department of Mathematical, Zhejiang Normal University, Jinhua 321004, China.
² Escuela de Ciencias Físicas y Matemáticas, Facultad de Ciencias Naturales y Exactas Pontificia Universidad Católica del Ecuador, Sede Quito 17-01-2184, Ecuador.
³ Department of Basic Sciences, Deanship of Preparatory Year, King Faisal University, Hofuf 31982, Al-Hasa, Saudi Arabia.

Abstract

In this paper, we establish new (p,q)κ1-integral and (p,q)κ2-integral identities. By employing these new identities, we establish new (p,q)κ1 and (p,q)κ2- trapezoidal integral-type inequalities through strongly convex and quasi-convex functions. Finally, some examples are given to illustrate the investigated results.

Keywords: (p,q)-calculus; strongly convex functions; strongly quasi-convex functions; trapezoidal (p,q)κ1-integral and (p,q)κ2-integral.