Earthquake convexity and some new related inequalities

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dc.authoridKadakal, Mahir/0000-0002-0240-918X
dc.authoridKADAKAL, Huriye/0000-0002-0304-7192
dc.authoridiscan, imdat/0000-0001-6749-0591
dc.contributor.authorKadakal, Mahir
dc.contributor.authorIscan, Imdat
dc.contributor.authorKadakal, Huriye
dc.date.accessioned2024-10-04T18:49:33Z
dc.date.available2024-10-04T18:49:33Z
dc.date.issued2024
dc.departmentBayburt Üniversitesien_US
dc.description.abstractUnfortunately, eleven of our provinces were severely affected due to two severe earthquakes that occurred in our country, the Republic of Turkey, on February 6, 2023. As a result, thousands of buildings were destroyed and tens of thousands of our citizens lost their lives. From past to present, such disasters have occurred in many parts of our world and will continue to happen. In order to raise awareness for researchers and academicians reading our article, we will give a new definition of convexity in this article, and we will call it earthquake convexity. In this paper, we study some algebraic properties of the earthquake convexity. Then we compare the results obtained with both Holder, Holder-Iscan inequalities and power-mean, improved power-mean integral inequalities and show that the results obtained with Holder-Iscan and improved power-mean inequalities are better than the others. Some applications to special means of real numbers are also given.en_US
dc.identifier.doi10.1515/jaa-2023-0046
dc.identifier.endpage73en_US
dc.identifier.issn1425-6908
dc.identifier.issn1869-6082
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85175847155en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage63en_US
dc.identifier.urihttps://doi.org/10.1515/jaa-2023-0046
dc.identifier.urihttp://hdl.handle.net/20.500.12403/3207
dc.identifier.volume30en_US
dc.identifier.wosWOS:001089356500001en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWalter De Gruyter Gmbhen_US
dc.relation.ispartofJournal of Applied Analysisen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectEarthquake convexityen_US
dc.subjectconvex functionen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.subjectHolder-Iscan inequalityen_US
dc.subjectimproved power-mean inequalityen_US
dc.titleEarthquake convexity and some new related inequalitiesen_US
dc.typeArticleen_US

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