Selberg and refinement type inequalities on semi-Hilbertian spaces

Document Type : Research Paper


1 Department of Mathematics, Faculty of Sciences and Techniques, S. M. Ben Abdellah University, Fez, Morocco

2 Department of Mathematics, Faculty of Sciences, Ibn Zohr University, Agadir, Morocco

3 Department of Mathematics, Faculty of Sciences, Ibn Tofai University, Kenitra, Morocco


In this paper, we will study a type and refinement of Selberg type inequalities on semi-Hilbertian spaces, which is a simultaneous extension of the Bombieri type inequality in a semi-Hilbertian space. As applications, we give some examples of the Selberg inequality and its refinement on semi-Hilbertian spaces.


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Volume 13, Issue 2
July 2022
Pages 1201-1206
  • Receive Date: 27 December 2020
  • Revise Date: 31 December 2020
  • Accept Date: 12 April 2021