QUANTUM HERMITE-HADAMARD TYPE INEQUALITY AND SOME ESTIMATES OF QUANTUM MIDPOINT TYPE INEQUALITIES FOR DOUBLE INTEGRALS

KUNT M., Latif M. A., İŞcan İ., Dragomir S. S.

Sigma Journal of Engineering and Natural Sciences, vol.37, no.1, pp.207-223, 2019 (Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 1
  • Publication Date: 2019
  • Journal Name: Sigma Journal of Engineering and Natural Sciences
  • Journal Indexes: Scopus
  • Page Numbers: pp.207-223
  • Keywords: Hermite-Hadamard inequality, Hermite-Hadamard type inequality on co-ordinates, Quantum Hermite-Hadamard type inequality, Quantum Hermite-Hadamard type inequality on co-ordinates, Convexity on co-ordinates, Quasi-convexity on co-ordinates, CONVEX
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this paper, we give the correct quantum Hermite-Hadamard type inequality for the functions of two variables over finite rectangles. We provide some quantum estimates between the middle and the leftmost terms in correct quantum Hermite-Hadamard inequalities of functions of two variables using convexity and quasi-convexity on the co-ordinates.