Computations in Sequence Spaces and Applications to Statistical Convergence

Bruno de Malafosse (), Eberhard Malkowsky and Vladimir Rakočević
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Bruno de Malafosse: University of Le Havre (LMAH)
Eberhard Malkowsky: Univerzitet Union Nikola Tesla, Faculty of Management
Vladimir Rakočević: University of Niš, Department of Mathematics

Chapter Chapter 4 in Operators Between Sequence Spaces and Applications, 2021, pp 159-227 from Springer

Abstract: Abstract In this chapter, we illustrate the results stated in the previous chapters and most of them may be considered as exercices on sequence spaces and infinite matrices. In this way, we consider the sum and the product of some linear spaces of sequences and we do a lot of computations involving generalized strongly summable sets to obtain new results on statistical convergence. We extend Hardy’s Tauberian theorem for Cesàro means to the cases when the Cesàro operator is successively replaced by the operator of weighted means and by the generalized Cesàro operator.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-15-9742-8_4

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DOI: 10.1007/978-981-15-9742-8_4

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