Post-quantum trapezoid type inequalities


Latif M. A. , KUNT M. , Dragomir S. S. , Iscan I.

AIMS MATHEMATICS, vol.5, no.4, pp.4011-4026, 2020 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 4
  • Publication Date: 2020
  • Doi Number: 10.3934/math.2020258
  • Title of Journal : AIMS MATHEMATICS
  • Page Numbers: pp.4011-4026
  • Keywords: Hermite-Hadamard inequality, q-integral inequalities, (p, q)-integral inequalities, (p, q)-derivative, (p, q)-integration, convexity, quasi-convexity, MIDPOINT TYPE INEQUALITIES, INTEGRAL-INEQUALITIES, DIFFERENTIABLE MAPPINGS, CONVEX

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.