EARTHQUAKE -FUNCTIONS WITH SOME RELATED INEQUALITIES AND THEIR APPLICATIONS

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dc.contributor.authorOzcan, Serap
dc.contributor.authorKadakal, Mahir
dc.contributor.authorIscan, Imdat
dc.contributor.authorKadakal, Huriye
dc.date.accessioned2026-02-28T12:18:21Z
dc.date.available2026-02-28T12:18:21Z
dc.date.issued2025
dc.departmentBayburt Üniversitesi
dc.description.abstractAs researchers, our primary commitment is to engage in the creation of scientific and academic knowledge. Recognizing the importance of societal impact, we also strive to contribute to social awareness through our work. Natural disasters, such as floods, earthquakes, avalanches, landslides, tsunamis, and others, frequently afflict regions globally, resulting in profound human losses and extensive material damage. Notably, the earthquake that struck our country on February 6, 2023, marked as the disaster of the century, deeply affected eleven provinces, leading to a tragic loss of tens of thousands of lives. In this paper, we investigate the concept of earthquake P-functions. We establish the Hermite-Hadamard inequality for this class of functions and derive several refinements of the Hermite-Hadamard type inequality for functions whose first derivative, in absolute value, at a certain power, is an earthquake P-function. We present some applications of the trapezoidal formula. We also provide new bounds for special means of different non-negative real numbers.
dc.identifier.doi10.46939/J.Sci.Arts-25.2-a15
dc.identifier.endpage394
dc.identifier.issn1844-9581
dc.identifier.issn2068-3049
dc.identifier.issue2
dc.identifier.startpage383
dc.identifier.urihttps://doi.org/10.46939/J.Sci.Arts-25.2-a15
dc.identifier.urihttps://hdl.handle.net/20.500.12403/6211
dc.identifier.wosWOS:001531580300015
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherEditura Bibliotheca-Bibliotheca Publ House
dc.relation.ispartofJournal of Science And Arts
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260218
dc.subjectConvex function
dc.subjectearthquake P-function
dc.subjectHermite-Hadamard inequality
dc.subjectintegral inequalities
dc.titleEARTHQUAKE -FUNCTIONS WITH SOME RELATED INEQUALITIES AND THEIR APPLICATIONS
dc.typeArticle

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