Open AccessΔmp - statistical convergence of order α
Author(s) -
Abdulkadir Karakaş,
Yavuz Altın,
Mikail Et
Publication year - 2018
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/fil1816565k
Subject(s) - mathematics , cauchy distribution , sequence (biology) , order (exchange) , cauchy's convergence test , operator (biology) , convergence (economics) , limit of a sequence , cauchy sequence , pure mathematics , mathematical analysis , cauchy boundary condition , limit (mathematics) , finance , economic growth , economics , biochemistry , chemistry , genetics , repressor , gene , transcription factor , biology , boundary value problem , free boundary problem
In this work, we generalize the concepts of statistically convergent sequence of order ? and statistical Cauchy sequence of order ? by using the generalized difference operator ?m. We prove that a sequence is ?mp-statistically convergent of order ? if and only if it is ?mp-statistically Cauchy of order ?.