1. Post-quantum trapezoid type inequalities
- Author
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Mehmet Kunt, Sever S Dragomir, İmdat İşcan, Muhammad Latif, Giresun Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, and İşcan, İmdat
- Subjects
(p, q)-integral inequalities ,General Mathematics ,q-derivative ,q)-integration ,Mathematics::Classical Analysis and ODEs ,Type (model theory) ,Convexity ,Combinatorics ,Identity (mathematics) ,Hermite–Hadamard inequality ,q-integral inequalities ,Differentiable function ,Mathematics ,q)-derivative ,convexity ,hermite-hadamard inequality ,lcsh:Mathematics ,Regular polygon ,(p ,lcsh:QA1-939 ,(p, q)-derivative ,q)-integral inequalities ,(p, q)-integration ,Convex function ,quasi-convexity - Abstract
In this study, the assumption of being differentiable for the convex function f in the (p, q)-Hermite-Hadamard inequality is removed. A new identity for the right-hand part of (p, q)-Hermite-Hadamard inequality is proved. By using established identity, some (p, q)-trapezoid integral inequalities for convex and quasi-convex functions are obtained. The presented results in this work extend some results from the earlier research.
- Published
- 2020
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