Geodesic
Riesz Lacunary Sequence Spaces of Fractional Difference Operator
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 2, p. 283

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper, we intend to make new approach to introduce and study some fractional difference sequence spaces by Riesz mean associated with infinite matrix and a sequence of modulus functions 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 establish. Finally, we make an effort to study the statistical convergence through fractional difference operator.
Classification : 46A45, 46A35, 40A05
Keywords: Fractional difference operator, gamma function, modulus function, Riesz mean, lacunary sequences 
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     title = {Riesz {Lacunary} {Sequence} {Spaces} of {Fractional} {Difference} {Operator}},
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Kuldip Raj; Kavita Saini; Neeru Sawhney. Riesz Lacunary Sequence Spaces of Fractional Difference Operator. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 2, p. 283 . http://geodesic.mathdoc.fr/item/KJM_2022_46_2_a7/