Time Scale Version of the Hermite--Hadamard Inequality for Functions Convex on the Coordinates

Abstract

In this paper, we present a time scale version of the Hermite-Hadamard inequality for functions convex on the coordinates via the diamond-$\alpha$ calculus. Our results are new and they generalize and extend a result due to Dragomir.

13 pages

References in corpus (2)

• Diamond-$\alpha$ Jensen's Inequality on Time Scales
• Symmetric Differentiation on Time Scales

Cited by in corpus (1)

• Generalized Hermite--Hadamard's inequality for functions convex on the coordinates