Work

Lacunary Arithmetic convergence

Year: 2016
Type: preprint
Abstract: In this article we introduce and study the lacunary arithmetic convergent sequence space $AC_θ$. Using the idea of strong Cesàro summable sequence and arithmetic convergence we define $AC_{σ_1}$ and study the relations between $AC_θ$ and $AC_{σ_1}$. Finally using modulus function we define $AC_θ(f)$ and study some interesting results.
Language: English
Open Access status: green
OpenAlex ID: W2552300960
Cites: 6
Cited by: 4
Related to: 10