Factorization of Cesàro and Hilbert matrices based on generalized Cesàro matrix

ABSTRACT

In this paper, we introduce factorizations for the Hilbert and Cesàro matrices based on generalized Cesàro matrix and as the application, we generalize the Hardy's inequality versus Hilbert's.

KEYWORDS:

• Matrix operator
• Hilbert matrix
• Cesàro matrix
• norm
• sequence space

MATHEMATICS SUBJECT CLASSIFICATIONS:

• 26D15
• 40C05
• 40G05
• 47B37

Disclosure statement

No potential conflict of interest was reported by the authors.