Abstract
A generalized lemmas is proved and several new inequalities for differentiable co-ordinated convex and concave functions in two variables are obtained.
Highlights
This remarkable result is well known in the literature as the Hermite-Hadamard inequality for convex mapping
Some refinements of the Hermite-Hadamard inequality on convex functions have been extensively investigated by a number of authors (e.g., [1,2,3,4])
A modification for convex functions which is known as coordinated convex functions was introduced as follows by Dragomir in [5]
Summary
A generalized lemmas is proved and several new inequalities for differentiable co-ordinated convex and concave functions in two variables are obtained. Let f : I ⊆ R → R be a convex function and a, b ∈ I with a < b; we have the following double inequality: f(a This remarkable result is well known in the literature as the Hermite-Hadamard inequality for convex mapping.
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