A refinement of the left-hand side of Hermite-Hadamard inequality for simplices
Monika Nowicka, Alfred Witkowski
TL;DR
This paper presents a new refinement of the Hermite-Hadamard inequality's left-hand side for convex functions on simplices, enhancing the understanding of inequalities in multivariable convex analysis.
Contribution
It introduces a novel refinement of the Hermite-Hadamard inequality specifically for convex functions defined on simplices, extending existing inequalities.
Findings
New inequality refinement for convex functions on simplices
Enhanced bounds for multivariable convex functions
Theoretical advancement in convex analysis
Abstract
In this paper, we establish a new refinement of the left-hand side of Hermite-Hadamard inequality for convex functions of several variables defined on simplices.
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