Invariant means and lacunary sequence spaces of order (α, β)

• Autorzy: Ayman-Mursaleen Mohammad , Nasiruzzaman Md. , Sharma Sunil K. , Cai Qing-Bo

Identyfikatory

DOI

10.1515/dema-2024-0003

• Języki publikacji: EN

Abstrakty

EN

In this article, we use the notion of lacunary statistical convergence of order (α, β), to introduce new sequence spaces by lacunary sequence, invariant means defined by Musielak-Orlicz function M = (ℵk). We also examine some topological properties and prove inclusion relations between newly constructed sequence spaces.

Słowa kluczowe

EN

difference sequence space; fractional difference operator; Orlicz function; Musielak-Orlicz function; lacunary sequence; invariant mean

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20240003
• Opis fizyczny: Bibliogr. 37 poz.

Twórcy

autor

Ayman-Mursaleen Mohammad

• School of Information & Physical Sciences, The University of Newcastle, University Drive, Callaghan, NSW 2308, Australia

autor

Nasiruzzaman Md.

• Department of Mathematics, Faculty of Science, University of Tabuk, PO Box 4279, Tabuk 71491, Saudi Arabia

autor

Sharma Sunil K.

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

autor

Cai Qing-Bo

• Fujian Provincial Key Laboratory of Data-Intensive Computing, Key Laboratory of Intelligent Computing and Information Processing, School of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, China

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).