New Bellman-type inequalities

Authors

  • Ronak Pashaei Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University
  • Mohammad Sadegh Asgari Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University

DOI:

https://doi.org/10.30495/jme.v0i0.1573

Keywords:

Operator order‎, ‎Jensen's inequality‎, ‎convex functions‎, ‎norm inequality‎, ‎positive operators.

Abstract

‎In this paper, we‎ present a general version of operator Bellman inequality‎. Also, ‎the refinement of inequality due to J‎. ‎Aujla‎‎ and F‎. ‎Silva for the convex functions is given as well‎.

Author Biographies

Ronak Pashaei, Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University

Ph.D. Student of pure mathematics at the Central Tehran Branch Islamic Azad University.

Mohammad Sadegh Asgari, Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University

Associate Professor of pure mathematics at the Central Tehran Branch Islamic Azad University.

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Published

2020-12-27

Issue

Vol. 15

Section

Vol. 15, No. 4, (2021)

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