Corrigendum: On the spaces of Cesàro absolutely p-summable, null and convergent sequences(Math. Methods Appl. Sci., (2021), 44, (5), (3670–3685), 10.1002/mma.6973)

Savaşci M., Başar F.

Mathematical Methods in the Applied Sciences, vol.46, no.9, pp.10095-10102, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 9
  • Publication Date: 2023
  • Doi Number: 10.1002/mma.9103
  • Journal Name: Mathematical Methods in the Applied Sciences
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.10095-10102
  • Keywords: matrix domain, matrix mappings, sequence space, α-, β- and γ-duals
  • Uşak University Affiliated: Yes

Abstract

The sequence spaces (Formula presented.), (Formula presented.) and (Formula presented.) are introduced by Roopaei and Başar [8] as the domain of the Cesàro matrix (Formula presented.) of order (Formula presented.) in the spaces (Formula presented.), (Formula presented.) and (Formula presented.) of absolutely (Formula presented.) -summable, null and convergent sequences, respectively, where (Formula presented.). As a direct consequence of incorrectly calculation of the inverse (Formula presented.) of the Cesàro matrix (Formula presented.) of order (Formula presented.), the main results in Sections 3 and 4 of Roopaei and Başar [8] were wrongly obtained. The main purpose of this paper is to rectify the main results of [8] given in Sections 3 and 4.