Certain Hermite-Hadamard Inequalities for Logarithmically Convex Functions With Applications
| dc.contributor.author | Mehrez, Khaled | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Agarwal, Praveen | |
| dc.contributor.author | Jain, Shilpi | |
| dc.date.accessioned | 2020-01-15T14:02:08Z | |
| dc.date.accessioned | 2025-09-18T12:48:51Z | |
| dc.date.available | 2020-01-15T14:02:08Z | |
| dc.date.available | 2025-09-18T12:48:51Z | |
| dc.date.issued | 2019 | |
| dc.description | Mehrez, Khaled/0000-0001-9948-3636; Agarwal, Praveen/0000-0001-7556-8942; Jain, Shilpi/0000-0002-0906-2801 | en_US |
| dc.description.abstract | In this paper, we discuss various estimates to the right-hand (resp. left-hand) side of the Hermite-Hadamard inequality for functions whose absolute values of the second (resp. first) derivatives to positive real powers are log-convex. As an application, we derive certain inequalities involving the q-digamma and q-polygamma functions, respectively. As a consequence, new inequalities for the q-analogue of the harmonic numbers in terms of the q-polygamma functions are derived. Moreover, several inequalities for special means are also considered. | en_US |
| dc.description.sponsorship | SERB [TAR/2018/000001, MTR/2017/000194] | en_US |
| dc.description.sponsorship | The authors would like to thanks to the worthy referees and editor for their valuable suggestions for our paper in Mathematics. This work was supported by under the first author research grant supported by SERB Project Number: MTR/2017/000194 and fourth author research grant supported by SERB Project Number: TAR/2018/000001 | en_US |
| dc.identifier.citation | Jain, Shilpi...et al. (2019). "Certain Hermite-Hadamard Inequalities for Logarithmically Convex Functions with Applications", Mathematics, Vol. 7, No. 2. | en_US |
| dc.identifier.doi | 10.3390/math7020163 | |
| dc.identifier.issn | 2227-7390 | |
| dc.identifier.scopus | 2-s2.0-85061355026 | |
| dc.identifier.uri | https://doi.org/10.3390/math7020163 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12163 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Hermite-Hadamard Inequality | en_US |
| dc.subject | Log-Convex Function | en_US |
| dc.subject | Q-Digamma | en_US |
| dc.subject | Q-Polygamma Function | en_US |
| dc.subject | Harmonic Number | en_US |
| dc.subject | Special Means | en_US |
| dc.title | Certain Hermite-Hadamard Inequalities for Logarithmically Convex Functions With Applications | en_US |
| dc.title | Certain Hermite-Hadamard Inequalities for Logarithmically Convex Functions with Applications | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Mehrez, Khaled/0000-0001-9948-3636 | |
| gdc.author.id | Agarwal, Praveen/0000-0001-7556-8942 | |
| gdc.author.id | Jain, Shilpi/0000-0002-0906-2801 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Jain, Shilpi/Aac-4199-2019 | |
| gdc.author.wosid | Mehrez, Khaled/Q-7102-2018 | |
| gdc.author.wosid | Agarwal, Praveen/I-7327-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Jain, Shilpi] Poornima Coll Engn, Dept Math, Jaipur 302022, Rajasthan, India; [Mehrez, Khaled] Univ Tunis El Manar, Fac Sci Tunis, Dept Math, Tunis 1068, Tunisia; [Mehrez, Khaled] Issat Kasserine Univ Kairouan, Dept Math, Kairouan 3100, Tunisia; [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math & Comp Sci, TR-0630 Balgat, Turkey; [Agarwal, Praveen] Anand Int Coll Engn, Dept Math, Jaipur 303012, Rajasthan, India; [Agarwal, Praveen] Harish Chandra Res Inst HRI, Dept Math, Allahbad 211019, India | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 163 | |
| gdc.description.volume | 7 | en_US |
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| gdc.oaire.keywords | Hermite–Hadamard inequality | |
| gdc.oaire.keywords | harmonic number | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | log-convex function | |
| gdc.oaire.keywords | q-polygamma function | |
| gdc.oaire.keywords | special means | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | q-digamma | |
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