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Riemann Integral Construction Of A Sequence Of Functions In A Normed Space (l^p,‖∙‖_p )

Jurnal Matematika, Statistika dan Komputasi · Vol. 16 No. 3 (2020) · pp. 263–272

DOI
10.20956/jmsk.v16i3.8314
ISSN
2614-8811, 1858-1382
Published
2020-04-28
Publisher
Department of Mathematics, Hasanuddin University
Language
en

Abstract

We construct Riemann Integral for a sequence in a normed space (l^p,‖∙‖_p ). To do construction, we used some theories of real analysis and functional analysis, include some real sequences theories, some Riemann integral theory for functions in R, and some norm theories in a normed space (l^p,‖∙‖_p ). In this paper, we otained that a sequence of functions f=(f_k ):[a,b]⊂R→l^p qualify that the sequence is Riemann integrable on [a,b]⊂R.

Keywords

Collaboration network of the authors

30 authors · 68 co-authorship links

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  • State University of Makassar
  • Telkom University
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
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Co-authorOrganisationJoint articles
Budi NurwahyuAffiliation unknown4
Muh NurAffiliation unknown4
Islamiyah AbbasAffiliation unknown2
Hasmawati BasirAffiliation unknown2
Dermawan SaputraAffiliation unknown2
Edy Saputra RusdiAffiliation unknown1
A. Muh. Amil SiddikAffiliation unknown1
Muhammad Ardiansyah AsrifahAffiliation unknown1
Nur Hilal A. SyahrirAffiliation unknown1
Aidawayati RangkutiAffiliation unknown1
Wahyudi RusdiAffiliation unknown1
EDY SAPUTRA RUSDIAffiliation unknown1
Khaeruddin KhaeruddinState University of Makassar1
Meriam MeriamAffiliation unknown1
Faisal FaisalAffiliation unknown1
Muh. Ali ImranAffiliation unknown1
Afif Budi Andy BAffiliation unknown1
Muhammad Nur HidayatAffiliation unknown1
Jeffry KusumaAffiliation unknown1
Salsabila AmmariAffiliation unknown1
Indi Ria Al KadryAffiliation unknown1
Hasmawati HasmawatiTelkom University1
Haspika HaspikaAffiliation unknown1
Ervie Yuniarti Astika Mustafaputri YuniartiAffiliation unknown1
Heryati Nur Fatimah SariAffiliation unknown1
Saskia Nurul JannahAffiliation unknown1
Cindy CindyAffiliation unknown1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://journal.unhas.ac.id/index.php/jmsk/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en">Riemann Integral Construction Of A Sequence Of Functions In A Normed Space (l^p,‖∙‖_p )</dc:title>
	<dc:creator xml:lang="en">Mangalaeng, Aswad Hariri</dc:creator>
	<dc:creator xml:lang="en">Aris, Naimah</dc:creator>
	<dc:creator xml:lang="en">Massalesse, Jusmawati</dc:creator>
	<dc:subject xml:lang="en">Normed space l^p</dc:subject>
	<dc:subject xml:lang="en">Riemann integral construction</dc:subject>
	<dc:subject xml:lang="en">Sequence of functions</dc:subject>
	<dc:description xml:lang="en">We construct Riemann Integral for a sequence in a normed space (l^p,‖∙‖_p ). To do construction, we used some theories of real analysis and functional analysis, include some real sequences theories, some Riemann integral theory for functions in R, and some norm theories in a normed space (l^p,‖∙‖_p ). In this paper, we otained that a sequence of functions f=(f_k ):[a,b]⊂R→l^p qualify that the sequence is Riemann integrable on [a,b]⊂R.</dc:description>
	<dc:publisher xml:lang="en">Department of Mathematics, Hasanuddin University</dc:publisher>
	<dc:date>2020-04-28</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journal.unhas.ac.id/index.php/jmsk/article/view/8314</dc:identifier>
	<dc:identifier>10.20956/jmsk.v16i3.8314</dc:identifier>
	<dc:source xml:lang="en">Jurnal Matematika, Statistika dan Komputasi; Vol. 16 No. 3 (2020): JMSK, MAY, 2020; 263-272</dc:source>
	<dc:source>2614-8811</dc:source>
	<dc:source>1858-1382</dc:source>
	<dc:language>en</dc:language>
	<dc:relation>https://journal.unhas.ac.id/index.php/jmsk/article/view/8314/pdf</dc:relation>
	<dc:relation>10.20956/j.v16i3.8314.g5093</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2020 Jurnal Matematika, Statistika dan Komputasi</dc:rights>
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