Inequalities of Ando's Type for n-convex Functions

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-Ribarič inequality for solidarities that hold for a class of nconvex functions. As an application, main results are applied to some operator means and relative operator entropy. © Sahand Communications in Mathematical Analysis 2020. All rights reserved.

Authors
Mikić R.1 , Pečarić J. 2
Journal
Sahand Communications in Mathematical Analysis
Publisher
University of Maragheh
Number of issue
2
Language
English
Pages
139-159
Status
Published
Link
External link
DOI
10.22130/scma.2018.94775.506
Volume
17
Year
2020
Organizations
  • 1 University of Zagreb, Faculty of Textile Technology, Zagreb, 10000, Croatia
  • 2 RUDN University, Miklukho-Maklaya str. 6, Moscow, 117198, Russian Federation
Keywords
Ando's inequality; Edmundson-Lah-Ribarič inequality; N-convex functions; Operator means; Solidarities
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/64932/
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