Some New Integral Inequalities for Exponential Type P-functions
Özet
In this paper, by using an identity we obtain some new Hermite-Hadamard type inequalities for functions whose first derivative in absolute value is exponential type P-function by using Hölder and power-mean integral inequalities. Then, the authors compare the results obtained with both Hölder, Hölder-İşcan integral inequalities and prove that the Hölder-İşcan integral inequality gives a better approximation than the Hölder integral inequality. Also, some applications to special means of real numbers are also given.
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- WoS
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- OpenAlex
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Tam Kayıt
| Alan | Değer | Dil |
|---|---|---|
| dc.contributor.author | Kadakal, Mahir | |
| dc.contributor.author | İmdat, Işcan | |
| dc.contributor.author | Kadakal, Huriye | |
| dc.date.accessioned | 2026-10-29T19:10:18.022951052Z | |
| dc.date.available | 2026-10-29T19:10:18.022951052Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | In this paper, by using an identity we obtain some new Hermite-Hadamard type inequalities for functions whose first derivative in absolute value is exponential type P-function by using Hölder and power-mean integral inequalities. Then, the authors compare the results obtained with both Hölder, Hölder-İşcan integral inequalities and prove that the Hölder-İşcan integral inequality gives a better approximation than the Hölder integral inequality. Also, some applications to special means of real numbers are also given. | |
| dc.identifier.doi | 10.52846/ami.v51i2.1745 | |
| dc.identifier.eissn | 2246-9958 | |
| dc.identifier.endpage | 302 | |
| dc.identifier.issn | 1223-6934 | |
| dc.identifier.issue | 2 | |
| dc.identifier.scopus | 2-s2.0-85216570702 | |
| dc.identifier.startpage | 291 | |
| dc.identifier.uri | https://rdlopen.rawdatalibrary.net/r/bayburt/12970 | |
| dc.identifier.volume | 51 | |
| dc.identifier.wos | WOS:001390241700001 | |
| dc.language.iso | en | |
| dc.publisher | Universitatea din Craiova | |
| dc.relation.ispartof | Annals of the University of Craiova, Mathematics and Computer Science Series | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Exponential type convexity | |
| dc.subject | exponential type P-function | |
| dc.subject | Hermite-Hadamard inequality | |
| dc.subject.classification | Mathematics | |
| dc.subject.other | HADAMARD TYPE INEQUALITIES | |
| dc.title | Some New Integral Inequalities for Exponential Type P-functions | |
| dc.type | Article | |
| rdl.citation.openalex | 0 | |
| rdl.citation.scopus | 1 | |
| rdl.citation.wos | 2 | |
| rdl.oa.status | bronze | |
| rdl.oa.url | http://inf.ucv.ro/~ami/index.php/ami/article/download/1745/961 | |
| rdl.scopus.quartile | Q3 | |
| rdl.source.index | SCOPUS | |
| rdl.source.index | WOS | |
| rdl.wos.index | Emerging Sources Citation Index (ESCI) |
