Δmp - statistical convergence of order α | Zendy

Abdulkadir Karakaş | Zendy; Yavuz Altın | Zendy; Mikâil Et | Zendy

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Δmp - statistical convergence of order α

Author(s) -

Abdulkadir Karakaş,

Yavuz Altın,

Mikâil 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 ?.

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