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Research Article Open Access

A Note on Improved Young Type Inequalities with Kantorovich Constant

Leila Nasiri1 and Mahmood Shakoori1
  • 1 Lorestan University, Iran

Abstract

In this article, we first present some improved Young type inequalities for scalars, then according to these inequalities we give the Hilbert-Schmidt norm and the trace norm versions.

Journal of Mathematics and Statistics
Volume 12 No. 3, 2016, 201-205

DOI: https://doi.org/10.3844/jmssp.2016.201.205

Submitted On: 20 April 2016 Published On: 4 October 2016

How to Cite: Nasiri, L. & Shakoori, M. (2016). A Note on Improved Young Type Inequalities with Kantorovich Constant. Journal of Mathematics and Statistics, 12(3), 201-205. https://doi.org/10.3844/jmssp.2016.201.205

Open AccessCopyright: © 2016 Leila Nasiri and Mahmood Shakoori. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Young Type Inequalities
  • Hilbert-Schmidt Norm
  • Positive Semidefinite Matrices
  • Singular Values
  • Refinement