Harmonic trigonometrically convexity
Özet
In this study, we introduce and study the concept of harmonic trigonometrically convex functions and their some algebric properties. We prove two Hermite-Hadamard type inequalities for the newly introduced class of functions. We also obtain some refinements of the Hermite-Hadamard inequality for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is harmonic trigonometrically convex.
Anahtar Kelimeler
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/bayburt/13046Resmi atıflarda kullanılan kalıcı adresİndeks kayıtları
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- Scopus
- 10
- WoS
- 12
- OpenAlex
- 11
Tam Kayıt
| Alan | Değer | Dil |
|---|---|---|
| dc.contributor.author | Kadakal, Huriye | |
| dc.date.accessioned | 2026-10-29T19:10:23.984020053Z | |
| dc.date.available | 2026-10-29T19:10:23.984020053Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | In this study, we introduce and study the concept of harmonic trigonometrically convex functions and their some algebric properties. We prove two Hermite-Hadamard type inequalities for the newly introduced class of functions. We also obtain some refinements of the Hermite-Hadamard inequality for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is harmonic trigonometrically convex. | |
| dc.identifier.doi | 10.2298/fil2323029k | |
| dc.identifier.endpage | 8038 | |
| dc.identifier.issn | 0354-5180 | |
| dc.identifier.issue | 23 | |
| dc.identifier.scopus | 2-s2.0-85162834024 | |
| dc.identifier.startpage | 8029 | |
| dc.identifier.uri | https://rdlopen.rawdatalibrary.net/r/bayburt/13046 | |
| dc.identifier.volume | 37 | |
| dc.identifier.wos | WOS:001011537400001 | |
| dc.language.iso | en | |
| dc.publisher | University of Nis | |
| dc.relation.ispartof | Filomat | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Convex function | |
| dc.subject | harmonic trigonometrically convexity | |
| dc.subject | Hermite-Hadamard inequality | |
| dc.subject | trigonometrically convex function | |
| dc.subject.classification | Mathematics, Applied | |
| dc.subject.classification | Mathematics | |
| dc.title | Harmonic trigonometrically convexity | |
| dc.type | Article | |
| rdl.citation.openalex | 11 | |
| rdl.citation.scopus | 10 | |
| rdl.citation.wos | 12 | |
| rdl.oa.status | gold | |
| rdl.oa.url | https://doi.org/10.2298/fil2323029k | |
| rdl.scopus.quartile | Q3 | |
| rdl.source.index | SCOPUS | |
| rdl.source.index | WOS | |
| rdl.wos.index | Science Citation Index Expanded (SCI-EXPANDED) |
