ISSN: 1304-7191 | E-ISSN: 1304-7205
Quantum Hermite-Hadamard Type Inequality and Some Estimates of Quantum Midpoint Type Inequalities for Double Integrals
1Karadeniz Technical University, Department of Science, TRABZON
2School of Computer Science & Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, SOUTH AFRICA
3Giresun University, Department of Mathematics, GIRESUN
4Mathematics, College of Engineering & Science, Victoria University, PO Box 14428, Melbourne City, MC 8001, AUSTRALIA, School of Computer Science & Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, SOUTH AFRICA
Sigma J Eng Nat Sci 2019; 37(1): 207-223
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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.