English

An extension of Jensen's operator inequality and its application to Young inequality

Functional Analysis 2018-01-11 v3

Abstract

Jensen's operator inequality for convexifiable functions is obtained. This result contains classical Jensen's operator inequality as a particular case. As a consequence, a new refinement and a reverse of Young's inequality is given.

Keywords

Cite

@article{arxiv.1705.02186,
  title  = {An extension of Jensen's operator inequality and its application to Young inequality},
  author = {Hamid Reza Moradi and Shigeru Furuichi and Flavia-Corina Mitroi-Symeonidis and Razieh Naseri},
  journal= {arXiv preprint arXiv:1705.02186},
  year   = {2018}
}

Comments

to appear in Revista de la Real Academia de Ciencias Exactas, F\'isicas y Naturales. Serie A. Matem\'aticas