International Journal of Nonlinear Analysis and Applications

A new generalization of the $l_p$ spaces

Document Type : Research Paper

Author

Department of Mathematics, Kosar University of Bojnord, Bojnord, Iran

Abstract

In this work, using semidefinite matrices gives a new generalization of the $l_p$ spaces and some inequalities containing lower bounds of some operators are proved. Also, by defining an inner product on the classes of an equivalence relation on operators, some inequalities similar to the well-known inequalities including the Copson, Cesaro, Hilbert and Hardy inequalities are obtained.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 16, Issue 5
May 2025
  • Receive Date: 23 May 2022
  • Accept Date: 17 June 2023