Year: 2006
Type: article
Abstract: This paper presents the following definition which is a natural combination of the definition for asymptotically equivalent, λ- statistical convergence and σ- convergence. Two nonnegative sequences [x] and [y] are said to be Sσ,λ- asymptotically equivalent of multiple L provided that for every > 0 uniformly in m = 1, 2, 3,…(denoted by x Sσ,λ ~ y) and simply Sσ,λ-asymptotically equivalent, if L = 1. Using this definition we shall prove Sσ,λ - asymptotically equivalent analogues of Mursaleen’s theorems in [8].
Source: Filomat
DOI: 10.2298/fil0601042s
Authors: Rahmet Savaş, Metin Başarir
Institution: University of Nis
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2001661244