Lacunary almost convergence and some new sequence spaces | Zendy

Ekrem Savaş | Zendy

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Lacunary almost convergence and some new sequence spaces

Author(s) -

Ekrem Savaş

Publication year - 2019

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1905397s

Subject(s) - lacunary function , mathematics , uniqueness , sequence (biology) , characterization (materials science) , convergence (economics) , pure mathematics , discrete mathematics , mathematical analysis , genetics , materials science , economic growth , economics , biology , nanotechnology

In this paper we study some new sequence spaces of strongly lacunary almost summable sequences, which naturally come up for investigation and which will fill up a gap in the existing literature. Some topological results, a characterization of strongly lacunary almost regular matrices, uniqueness of generalized limits and inclusion relations of such sequences have been observed.

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