Some φ-analogues of Hermite-Hadamard Inequality for s-convex Functions in the Second Sense and Related Estimates

M Latif, S Dragomir, E Momoniat
2016 Punjab University Journal of Mathematics   unpublished
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.
more » ... y using quantum calculus.