Gümüşhane ÜniversitesiGümüşhane ÜniversitesiAçık Erişim Arşivi · RDL Open

Spaces of continuous and bounded functions over the field of geometric complex numbers

MakaleAçık ErişimScopus SJRQ3

Özet

Following Grossman and Katz (Non-Newtonian Calculus, 1972), we construct the sets B(A) and C(A) of geometric complex-valued bounded and continuous functions, where A denotes the compact subset of the complex plane C. We show that the sets B(A) and C(A) of complex-valued bounded and continuous functions form a vector space with respect to the addition and scalar multiplication in the sense of multiplicative calculus. Finally, we prove that B(A) and C(A) are complete metric spaces.

Anahtar Kelimeler

Algebraic structures with respect to non-Newtonian calculusNon-Newtonian calculusNon-Newtonian function space
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/12081Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1186/1029-242x-2013-363Yayıncı resmi DOI adresi
İndeks kayıtları
ScopusScopusWeb of ScienceWeb of Science
Kaydın indeks veri tabanlarındaki sayfası (aktarımda alınan kayıt numarasıyla). Erişim, indeksin kendi koşullarına bağlıdır.
Atıflar
Scopus
10
WoS
5
OpenAlex
9
Her kaynağın kendi saydığı toplam atıf; aktarım ve zenginleştirme sırasında alındı.
Tam Kayıt
AlanDeğerDil
dc.contributor.authorCakir, Zafer
dc.date.accessioned2026-10-22T10:19:39.526922542Z
dc.date.available2026-10-22T10:19:39.526922542Z
dc.date.issued2013
dc.description.abstractFollowing Grossman and Katz (Non-Newtonian Calculus, 1972), we construct the sets B(A) and C(A) of geometric complex-valued bounded and continuous functions, where A denotes the compact subset of the complex plane C. We show that the sets B(A) and C(A) of complex-valued bounded and continuous functions form a vector space with respect to the addition and scalar multiplication in the sense of multiplicative calculus. Finally, we prove that B(A) and C(A) are complete metric spaces.
dc.identifier.articlenumber363
dc.identifier.doi10.1186/1029-242x-2013-363
dc.identifier.issn1029-242X
dc.identifier.scopus2-s2.0-84894426732
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/12081
dc.identifier.volume2013
dc.identifier.wosWOS:000325637300001
dc.language.isoen
dc.publisherSPRINGEROPEN
dc.relation.ispartofJournal of Inequalities and Applications
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectAlgebraic structures with respect to non-Newtonian calculus
dc.subjectNon-Newtonian calculus
dc.subjectNon-Newtonian function space
dc.subject.classificationMathematics, Applied
dc.subject.classificationMathematics
dc.subject.otherCALCULUS
dc.titleSpaces of continuous and bounded functions over the field of geometric complex numbers
dc.typeArticle
rdl.citation.openalex9
rdl.citation.scopus10
rdl.citation.wos5
rdl.oa.statusgold
rdl.oa.urlhttps://journalofinequalitiesandapplications.springeropen.com/counter/pdf/10.1186/1029-242X-2013-363
rdl.scopus.quartileQ3
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)