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

Document Type : Research Paper

Author
Assistant professor of Iran University of Science and technology
Abstract
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.
Keywords

Volume 11, Issue 2
December 2020
Pages 317-328

  • Receive Date 27 December 2017
  • Revise Date 15 November 2019
  • Accept Date 10 February 2020

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