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.
Highlights
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
In this paper we use their method to obtain another refinement of the left-hand side of Hermite-Hadamard inequality on simplices
The purpose of this paper is to prove that if f : → R is convex and K ⊂ L N, the average value of f on [L] does not exceed its average on [K]
Summary
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. Introduction, definitions, and notations The classical Hermite-Hadamard inequality [ ] states that if a function f : [a, b] → R is convex, f a + b ≤ b f (t) dt ≤ f (a) + f (b) . ) was obtained by Raïssouli and Dragomir in [ ]. In this paper we use their method to obtain another refinement of the left-hand side of Hermite-Hadamard inequality on simplices.
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