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
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
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.
