A series of refinements on the Young and reverse Young inequalities through a recursive algorithm

Document Type : Research Paper


Assistant professor of Iran University of Science and technology


In this article, we present a recursive algorithm to obtain a series of refinements of the classical Young inequality. These inequalities approach to equalities when the number of the iteration in the recursive algorithm tends to infinity.
Also these refinements applied to establish some improved reverse Young and matrix Young inequalities with Hilbert- Schmidt norm.


Volume 11, Issue 2
December 2020
Pages 317-328
  • Receive Date: 27 December 2017
  • Revise Date: 15 November 2019
  • Accept Date: 10 February 2020