The Multi-Parameter Fractal-Fractional Inequalities For Fractal (P,M)-Convex Functions

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dc.authoridBudak, Huseyin/0000-0001-8843-955Xen_US
dc.authoridDu, Tingsong/0000-0002-6072-1788en_US
dc.authorscopusid58148362800en_US
dc.authorscopusid57038541500en_US
dc.authorscopusid23468961600en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorYuan, Xiaoman
dc.contributor.authorBudak, Hueseyin
dc.contributor.authorDu, Tingsong
dc.date.accessioned2024-08-23T16:04:14Z
dc.date.available2024-08-23T16:04:14Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractLocal fractional calculus theory and parameterized method have greatly assisted in the advancement of the field of inequalities. To continue its enrichment, this study investigates the multi-parameter fractal-fractional integral inequalities containing the fractal (P,m)-convex functions. Initially, we formulate the new conception of the fractal (P,m)-convex functions and work on a variety of properties. Through the assistance of the fractal-fractional integrals, the 2l-fractal identity with multiple parameters is established, and from that, integral inequalities are inferred regarding twice fractal differentiable functions which are fractal (P,m)-convex. Furthermore, a few typical and novel outcomes are discussed and visualized for specific parameter values, separately. It concludes with some applications in respect of the special means, the quadrature formulas and random variable moments, respectively.en_US
dc.identifier.doi10.1142/S0218348X24500257
dc.identifier.issn0218-348X
dc.identifier.issn1793-6543
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85183968679en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1142/S0218348X24500257
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14112
dc.identifier.volume32en_US
dc.identifier.wosWOS:001152608700006en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofFractals-Complex Geometry Patterns And Scaling in Nature And Societyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractal (P,m)-Convex Functionsen_US
dc.subjectMulti-Parameter Integral Inequalitiesen_US
dc.subjectLocal Fractional Theoryen_US
dc.subjectHadamard Type Inequalitiesen_US
dc.subjectSimpson-Type Inequalitiesen_US
dc.subjectConvex-Functionsen_US
dc.subjectIntegral-Inequalitiesen_US
dc.titleThe Multi-Parameter Fractal-Fractional Inequalities For Fractal (P,M)-Convex Functionsen_US
dc.typeArticleen_US

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