Open AccessLacunary 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.