On Cesaro and Copson Sequence Spaces With Weights
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Abstract
In this paper, we prove some properties of weighted Cesaro and Copson sequences spaces by establishing some factorization theorems. The results lead to two-sided norm discrete inequalities with best possible constants and also give conditions for the boundedness of the generalized discrete weighted Hardy and Copson operators.
Description
Saker, Samir/0000-0003-2793-0972; , Maryam/0009-0004-8418-937X
Keywords
Cesaro Sequences Space, Copson Sequences Space, Factorizations, Discrete Hardy'S Operator, Discrete Copson Operator, 26D20, 46B15, 47J20, 47A63, Discrete Hardy’s Operator, Theory of Banach Spaces and Operators, Statistics and Probability, Weighted Estimates, FOS: Political science, Norm (philosophy), FOS: Law, Hardy space, Discrete Copson operator, Harmonic Analysis and Operator Theory, QA1-939, FOS: Mathematics, Genetics, Factorization, Biology, Political science, Discrete Hardy’s operator, Mathematical Physics, Applied Mathematics, Statistical Convergence in Approximation Theory and Functional Analysis, Pure mathematics, Factorizations, Discrete mathematics, Algorithm, Sequence Spaces, FOS: Biological sciences, Copson sequences space, Physical Sciences, Hardy Spaces, Cesàro sequences space, Law, Mathematics, Sequence (biology), discrete Copson operator, Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, factorizations, Other analytical inequalities, discrete Hardy operator, Variational and other types of inequalities involving nonlinear operators (general), Linear operator inequalities
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Saker, S.H...et al. (2021). "On Cesàro and Copson sequence spaces with weights", Journal of Inequalities and Applications, Vol. 2021, No. 1.
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19
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2021
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1
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CrossRef : 11
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