English

On improvement of Young inequality using the Kontrovich constant

Functional Analysis 2016-05-10 v1

Abstract

Some improvements of Young inequality and its reverse for positive numbers with Kontrovich constant are given. Using these inequalities some operator versions and Hilbert-Schmidt norm versions for matrices are proved.

Keywords

Cite

@article{arxiv.1605.02480,
  title  = {On improvement of Young inequality using the Kontrovich constant},
  author = {Maryam Khosravi and Alemeh Sheikhhosseini},
  journal= {arXiv preprint arXiv:1605.02480},
  year   = {2016}
}