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Dergiler / Sigma Journal of Engineering and Natural Sciences / 2019 / Cilt: 37 Sayı: 1

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

Mehmet KUNT, Muhammad Amer LATIF, İmdat İŞCAN, Silvestru Sever DRAGOMIR

Sayfa
207–223
DOI
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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.