A new generalization of the lp spaces

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Moazzen Alireza

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS Year:2025 | Volume:16 | Issue:5 Page(s): 165-172

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Information Journal Paper

Title

A new generalization of the lp spaces

Author(s)

Moazzen Alireza | Issue Writer Certificate

Keywords

Lower bound of operator

Hilbert's operator

Cesaro operator

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.

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