Orlicz lacunary sequence spaces of l-fractional difference operators

• Autorzy: Raj Kuldip , Saini Kavita , Choudhary Anu

Identyfikatory

DOI

10.1515/jaa-2020-2018

• Języki publikacji: EN

Abstrakty

EN

Recently, S. K. Mahato and P.D. Srivastava [A class of sequence spaces defined by l-fractional difference operator, preprint (2018), http://arxiv.org/abs/1806.10383] studied l-fractional difference sequence spaces. In this article, we intend to make a new approach to introduce and study some lambda l-fractional convergent, lambda l-fractional null and lambda l-fractional bounded sequences over n-normed spaces. Various algebraic and topological properties of these newly formed sequence spaces have been explored, and some inclusion relations concerning these spaces are also established. Finally, some characterizations of the newly formed sequence spaces are given.

Słowa kluczowe

EN

l-fractional difference operator; Musielak-Orlicz function; n-normed spaces; lacunary sequence; matrix transformation

PL

funkcja Musielaka-Orlicza; przestrzenie unormowane; sekwencja lakularna; przekształcenie macierzy

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2020
• Tom: Vol. 26, nr 2
• Strony: 173--183
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Raj Kuldip

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

autor

Saini Kavita

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

autor

Choudhary Anu

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

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).