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Orlicz lacunary sequence spaces of l-fractional difference operators

Raj Kuldip, Saini Kavita, Choudhary Anu

Journal of Applied Analysis

2020

Vol. 26, nr 2

173--183

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.

Some strongly almost summable sequence spaces

Sharma S. K., Esi A.

Journal of Mathematics and Applications

2017

Vol. 40

171--183

In the present paper we introduce some strongly almost summable sequence spaces using ideal convergence and Musielak-Orlicz function M = (Mk) in n-normed spaces. We examine some topological properties of the resulting sequence spaces.

Some seminormed difference sequence spaces defined by a Musielak-Orlicz function over n-normed spaces

Raj K., Sharma S. K.

Journal of Mathematics and Applications

2015

Vol. 38

115--131

In the present paper we introduced some seminormed difference sequence spaces combining lacunary sequences and Musielak-Orlicz function M = (Mk) over n-normed spaces and examine some topological properties and inclusion relations between resulting sequence spaces.