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

Year 2019, Volume: 37 Issue: 1, 207 - 223, 01.03.2019

Mehmet Kunt Muhammad Amer Latıf İmdat İşcan Silvestru Sever Dragomır

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.

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.

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