684 research outputs found
Matrix Hermite-Hadamard type inequalities
We present several matrix and operator inequalities of Hermite-Hadamard type.
We first establish a majorization version for monotone convex functions on
matrices. We then utilize the Mond-Pecaric method to get an operator version
for convex functions. We also present some applications. Finally we obtain an
Hermite-Hadamard inequality for operator convex functions, positive linear maps
and operators acting on Hilbert spaces.Comment: 13 pages, revised versio
Symmetrized p-convexity and Related Some Integral Inequalities
In this paper, the author introduces the concept of the symmetrized p-convex
function, gives Hermite-Hadamard type inequalities for symmetrized p-convex
functions.Comment: 13 page
Hermite-Hadamard type inequalities for Wright-convex functions of several variables
We present Hermite--Hadamard type inequalities for Wright-convex, strongly
convex and strongly Wright-convex functions of several variables defined on
simplice
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