Multidimensional Linear Functional Connected with Double Strong Cesàro Summability

Richard F. Patterson (), Rabia Savas () and Ekrem Savas ()
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Richard F. Patterson: University of North Florida Jacksonville
Rabia Savas: Sakarya University
Ekrem Savas: Usak University

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 1, 143-153

Abstract: Abstract In 1964 Borwein presented functional characterization of the normed linear spaces wp and Wp. These two spaces are clearly linked to Cesàro summability [C, 1] in particular it should be noted that a sequence x in wp if and only if x is Cesàro summable. The goal of this paper includes extension of these notions to double function space thus producing multidimensional analog of Borwein’s results.

Keywords: Discrete functional analysis; sequences spaces; double functions; Pringsheim; P-convergent; 40B05; 40C05 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0390-z

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