On ρ−statistical convergence of order α of sequences of function

In this study, by using definition of ρ-statistical convergence which was defined by Çakallı, we introduce the concepts of pointwise wαρ (f )-summability, pointwise ρ-statistical convergence of order α and uniform ρ-statistical convergence of order α sequences of real-valued functions. Also, we give...

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Main Authors: Nazlım Deniz Aral, Hacer Şengül Kandemir, Mikail Et
Format: Article
Language:English
Published: EJAAM 2022-12-01
Series:E-Journal of Analysis and Applied Mathematics
Subjects:
Online Access:https://ejaam.org/articles/2022/10.2478-ejaam-2022-0005.pdf
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author Nazlım Deniz Aral
Hacer Şengül Kandemir
Mikail Et
author_facet Nazlım Deniz Aral
Hacer Şengül Kandemir
Mikail Et
author_sort Nazlım Deniz Aral
collection DOAJ
description In this study, by using definition of ρ-statistical convergence which was defined by Çakallı, we introduce the concepts of pointwise wαρ (f )-summability, pointwise ρ-statistical convergence of order α and uniform ρ-statistical convergence of order α sequences of real-valued functions. Also, we give some inclusion relations between these concepts.
format Article
id doaj-art-78d17ab5eee84a87911ae11865faf5a5
institution Kabale University
issn 2544-9990
language English
publishDate 2022-12-01
publisher EJAAM
record_format Article
series E-Journal of Analysis and Applied Mathematics
spelling doaj-art-78d17ab5eee84a87911ae11865faf5a52025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902022-12-01202210.2478/ejaam-2022-0005On ρ−statistical convergence of order α of sequences of functionNazlım Deniz Aral0Hacer Şengül Kandemir1Mikail Et2Department of Mathematics, Bitlis Eren University, Bitlis, 13000, TurkeyFaculty of Education, Harran University, Osmanbey Campus 63190, Şanlıurfa, TurkeyDepartment of Mathematics, Fırat University, 23119 Elazığ, TurkeyIn this study, by using definition of ρ-statistical convergence which was defined by Çakallı, we introduce the concepts of pointwise wαρ (f )-summability, pointwise ρ-statistical convergence of order α and uniform ρ-statistical convergence of order α sequences of real-valued functions. Also, we give some inclusion relations between these concepts.https://ejaam.org/articles/2022/10.2478-ejaam-2022-0005.pdfstatistical convergencesequences of functioncesàro summability
spellingShingle Nazlım Deniz Aral
Hacer Şengül Kandemir
Mikail Et
On ρ−statistical convergence of order α of sequences of function
E-Journal of Analysis and Applied Mathematics
statistical convergence
sequences of function
cesàro summability
title On ρ−statistical convergence of order α of sequences of function
title_full On ρ−statistical convergence of order α of sequences of function
title_fullStr On ρ−statistical convergence of order α of sequences of function
title_full_unstemmed On ρ−statistical convergence of order α of sequences of function
title_short On ρ−statistical convergence of order α of sequences of function
title_sort on ρ statistical convergence of order α of sequences of function
topic statistical convergence
sequences of function
cesàro summability
url https://ejaam.org/articles/2022/10.2478-ejaam-2022-0005.pdf
work_keys_str_mv AT nazlımdenizaral onrstatisticalconvergenceoforderaofsequencesoffunction
AT hacersengulkandemir onrstatisticalconvergenceoforderaofsequencesoffunction
AT mikailet onrstatisticalconvergenceoforderaofsequencesoffunction