Abstract
In this paper, the right hand side for quantum analogue of
the famous Hermite-Hadamard’s inequality for s-convex functions is presented. Some quantum estimates for the right hand side of the φ-analogue
of the well known Hermite-Hadamard inequality by using the s-convexity
of the absolute value of the φ-derivatives are obtained. Some inequalities
similar to Hermite-Hadamard for the products of the functions which belong to the class of convex and s-convex function are proved by using
quantum calculus.
M. A. Latif, S. S. Dragomir, E. Momoniat. (2016) Some φ-analogues of Hermite-Hadamard Inequality for s-convex Functions in the Second Sense and Related Estimates, Punjab University Journal of Mathematics, Volume 48, Issue 2.
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