Linear isomorphic spaces of Cesàro-Nörlund operator, their duals and matrix transformations

• Autorzy: Singh Uday Pratap , Jasrotia Swati , Raj Kuldip

Identyfikatory

DOI

10.1515/jaa-2022-2008

• Języki publikacji: EN

Abstrakty

EN

In this article, we introduce and study sequence spaces of Cesàro-Nörlund operators of order n associated with a sequence of Orlicz functions.We obtain some topological properties and Schauder basis of these sequence spaces.Moreover, we compute the α-, β- and γ-duals and the matrix transformations of these newly formed sequence spaces. Finally, we prove that these sequence spaces are of Banach-Saks type p and have a weak fixed-point property.

Słowa kluczowe

EN

Cesàro matrix; Nörlund matrix; alpha-, beta-, gama-duals; matrix transformation

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2023
• Tom: Vol. 29, nr 2
• Strony: 229--238
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Singh Uday Pratap

• School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, India

autor

Jasrotia Swati

• School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, India

autor

Raj Kuldip

• School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, India

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).