Time Scale Version of the Hermite--Hadamard Inequality for Functions Convex on the Coordinates
Eze R. Nwaeze
TL;DR
This paper extends the Hermite-Hadamard inequality to functions convex on the coordinates within the framework of time scales using diamond-alpha calculus, broadening its applicability.
Contribution
It introduces a novel time scale version of the Hermite-Hadamard inequality for coordinate convex functions, generalizing previous results by Dragomir.
Findings
New inequality for convex functions on time scales
Generalization of Dragomir's result
Extension via diamond-alpha calculus
Abstract
In this paper, we present a time scale version of the Hermite-Hadamard inequality for functions convex on the coordinates via the diamond- calculus. Our results are new and they generalize and extend a result due to Dragomir.
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Taxonomy
TopicsMathematical Inequalities and Applications · Nonlinear Differential Equations Analysis · Differential Equations and Boundary Problems