Inequalities of Ando's Type for $n$-convex Functions

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Mikic Rozarija; Pecaric Josip

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Journal Paper

Paper Information

Journal: SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS (SCMA) Year:2020 | Volume:17 | Issue:2 Page(s): 139-159

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Information Journal Paper

Title

Inequalities of Ando's Type for $n$-convex Functions

Author(s)

Mikic Rozarija | Pecaric Josip | Issue Writer Certificate

Keywords

Solidarities

Ando's inequality

Edmundson-Lah-Ribariv c inequality

$n$-convex functions

Operator means

Abstract

By utilizing different scalar equalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Ando's inequality and in the Edmundson-Lah-Ribari\v c inequality for Solidarities that hold for a class of $n$-convex functions. As an application, main results are applied to some Operator means and relative operator entropy.

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