Trapezoidal-Type Inequalities for Strongly Convex and Quasi-Convex Functions via Post-Quantum Calculus期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Humaira Kalsoom Miguel Vivas-Cortez Muhammad Amer Latif

Institution:	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 $(p, q)_{κ_{1}}$ -integral and $(p, q)^{κ_{2}}$ -integral identities. By employing these new identities, we establish new $(p, q)_{κ_{1}}$ and $(p, q)^{κ_{2}}$ - 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 trapezoidal (p q)_κ 1-integral and (p q)^κ 2-integral strongly convex functions strongly quasi-convex functions