On (f, ρ)−Statistical convergence and strong (f, ρ)−summability of order α

The main object of this article is to introduce the concepts of (f, ρ)− statistical convergence of order α and strong (f, ρ)− summability of order α of sequences of real numbers and give some inclusion relations between these spaces.

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Main Authors: Hacer Şengül Kandemir, Mikail Et, Hüseyin Çakallı
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-2022-0002.pdf
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author Hacer Şengül Kandemir
Mikail Et
Hüseyin Çakallı
author_facet Hacer Şengül Kandemir
Mikail Et
Hüseyin Çakallı
author_sort Hacer Şengül Kandemir
collection DOAJ
description The main object of this article is to introduce the concepts of (f, ρ)− statistical convergence of order α and strong (f, ρ)− summability of order α of sequences of real numbers and give some inclusion relations between these spaces.
format Article
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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-668b36f0b9534b219d8ce1bf9a9f55b62025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902022-12-01202210.2478/ejaam-2022-0002On (f, ρ)−Statistical convergence and strong (f, ρ)−summability of order αHacer Şengül Kandemir0Mikail Et1Hüseyin Çakallı2Faculty of Education, Harran University, Osmanbey Campus 63190, ¸Sanlıurfa, Turkey.Department of Mathematics, Fırat University 23119, Elazığ, Turkey.Mathematics Division, Graduate School of Science and Engineering, Maltepe University, Maltepe, Istanbul, TurkeyThe main object of this article is to introduce the concepts of (f, ρ)− statistical convergence of order α and strong (f, ρ)− summability of order α of sequences of real numbers and give some inclusion relations between these spaces.https://ejaam.org/articles/2022/10.2478-ejaam-2022-0002.pdfmodulus functionstatistical convergenceρ−statistical convergencestrong ρ−summability
spellingShingle Hacer Şengül Kandemir
Mikail Et
Hüseyin Çakallı
On (f, ρ)−Statistical convergence and strong (f, ρ)−summability of order α
E-Journal of Analysis and Applied Mathematics
modulus function
statistical convergence
ρ−statistical convergence
strong ρ−summability
title On (f, ρ)−Statistical convergence and strong (f, ρ)−summability of order α
title_full On (f, ρ)−Statistical convergence and strong (f, ρ)−summability of order α
title_fullStr On (f, ρ)−Statistical convergence and strong (f, ρ)−summability of order α
title_full_unstemmed On (f, ρ)−Statistical convergence and strong (f, ρ)−summability of order α
title_short On (f, ρ)−Statistical convergence and strong (f, ρ)−summability of order α
title_sort on f ρ statistical convergence and strong f ρ summability of order α
topic modulus function
statistical convergence
ρ−statistical convergence
strong ρ−summability
url https://ejaam.org/articles/2022/10.2478-ejaam-2022-0002.pdf
work_keys_str_mv AT hacersengulkandemir onfrstatisticalconvergenceandstrongfrsummabilityofordera
AT mikailet onfrstatisticalconvergenceandstrongfrsummabilityofordera
AT huseyincakallı onfrstatisticalconvergenceandstrongfrsummabilityofordera