$\lambda$-Statistical Pointwise and Uniform Convergence of Sequences of Functions on Neutrosophic Normed Spaces

This insightful article examines the $\lambda$-statistical convergence of function sequences within neutrosophic norm spaces. It introduces novel concepts such as $\lambda$-statistical pointwise convergence and $\lambda$-statistical uniform convergence specifically tailored for neutrosophic norm spa...

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Main Authors: Hari Shankar, Ayaz Ahmad, Chandan Chaurasiya, Ayhan Esi
Format: Article
Language:English
Published: University of Maragheh 2025-01-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Online Access:https://scma.maragheh.ac.ir/article_719362_89e54b5eaaad98048c4475a8762596f8.pdf
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author Hari Shankar
Ayaz Ahmad
Chandan Chaurasiya
Ayhan Esi
author_facet Hari Shankar
Ayaz Ahmad
Chandan Chaurasiya
Ayhan Esi
author_sort Hari Shankar
collection DOAJ
description This insightful article examines the $\lambda$-statistical convergence of function sequences within neutrosophic norm spaces. It introduces novel concepts such as $\lambda$-statistical pointwise convergence and $\lambda$-statistical uniform convergence specifically tailored for neutrosophic norm spaces, representing a notable advancement in the field. The article elucidates the foundational properties of these innovative concepts, offering valuable insights into their theoretical foundations and practical applications.
format Article
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institution Kabale University
issn 2322-5807
2423-3900
language English
publishDate 2025-01-01
publisher University of Maragheh
record_format Article
series Sahand Communications in Mathematical Analysis
spelling doaj-art-62f02ba171d4499eb52fab3b6a1912582025-02-11T05:28:02ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002025-01-0122125928210.22130/scma.2024.2023735.1640719362$\lambda$-Statistical Pointwise and Uniform Convergence of Sequences of Functions on Neutrosophic Normed SpacesHari Shankar0Ayaz Ahmad1Chandan Chaurasiya2Ayhan Esi3Research Scholar, Department of Mathematics, National Institute of Technology Patna 800005, India.Assistant Professor, Department of Mathematics, National Institute of Technology Patna 800005, India.Research Scholar, Department of Mathematics, National Institute of Technology Patna 800005, India.Enginering Faculty; Basic Eng.Sci.(Math.Sect.); Malatya Turgut Ozal University, Malatya, 44040 Turkey.This insightful article examines the $\lambda$-statistical convergence of function sequences within neutrosophic norm spaces. It introduces novel concepts such as $\lambda$-statistical pointwise convergence and $\lambda$-statistical uniform convergence specifically tailored for neutrosophic norm spaces, representing a notable advancement in the field. The article elucidates the foundational properties of these innovative concepts, offering valuable insights into their theoretical foundations and practical applications.https://scma.maragheh.ac.ir/article_719362_89e54b5eaaad98048c4475a8762596f8.pdfneutrosophic normed space (nns)neutrosophic equicontinuityt-normt-conorm~$\lambda$-statistical convergencepointwise and uniform convergence
spellingShingle Hari Shankar
Ayaz Ahmad
Chandan Chaurasiya
Ayhan Esi
$\lambda$-Statistical Pointwise and Uniform Convergence of Sequences of Functions on Neutrosophic Normed Spaces
Sahand Communications in Mathematical Analysis
neutrosophic normed space (nns)
neutrosophic equicontinuity
t-norm
t-conorm
~$\lambda$-statistical convergence
pointwise and uniform convergence
title $\lambda$-Statistical Pointwise and Uniform Convergence of Sequences of Functions on Neutrosophic Normed Spaces
title_full $\lambda$-Statistical Pointwise and Uniform Convergence of Sequences of Functions on Neutrosophic Normed Spaces
title_fullStr $\lambda$-Statistical Pointwise and Uniform Convergence of Sequences of Functions on Neutrosophic Normed Spaces
title_full_unstemmed $\lambda$-Statistical Pointwise and Uniform Convergence of Sequences of Functions on Neutrosophic Normed Spaces
title_short $\lambda$-Statistical Pointwise and Uniform Convergence of Sequences of Functions on Neutrosophic Normed Spaces
title_sort lambda statistical pointwise and uniform convergence of sequences of functions on neutrosophic normed spaces
topic neutrosophic normed space (nns)
neutrosophic equicontinuity
t-norm
t-conorm
~$\lambda$-statistical convergence
pointwise and uniform convergence
url https://scma.maragheh.ac.ir/article_719362_89e54b5eaaad98048c4475a8762596f8.pdf
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AT ayazahmad lambdastatisticalpointwiseanduniformconvergenceofsequencesoffunctionsonneutrosophicnormedspaces
AT chandanchaurasiya lambdastatisticalpointwiseanduniformconvergenceofsequencesoffunctionsonneutrosophicnormedspaces
AT ayhanesi lambdastatisticalpointwiseanduniformconvergenceofsequencesoffunctionsonneutrosophicnormedspaces