Hermite-Hadamard type inclusions via generalized Atangana-Baleanu fractional operator with application
dc.contributor.author | Sahoo, Soubhagya Kumar | |
dc.contributor.author | Jarad, Fahd | |
dc.contributor.author | Kodamasingh, Bibhakar | |
dc.contributor.author | Kashuri, Artion | |
dc.contributor.authorID | 234808 | tr_TR |
dc.date.accessioned | 2024-03-12T13:24:59Z | |
dc.date.available | 2024-03-12T13:24:59Z | |
dc.date.issued | 2022 | |
dc.department | Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | Defining new fractional operators and employing them to establish well-known integral inequalities has been the recent trend in the theory of mathematical inequalities. To take a step forward, we present novel versions of Hermite-Hadamard type inequalities for a new fractional operator, which generalizes some well-known fractional integral operators. Moreover, a midpoint type fractional integral identity is derived for differentiable mappings, whose absolute value of the first-order derivatives are convex functions. Moreover, considering this identity as an auxiliary result, several improved inequalities are derived using some fundamental inequalities such as Hölder-İşcan, Jensen and Young inequality. Also, if we take the parameter ρ = 1 in most of the results, we derive new results for Atangana-Baleanu equivalence. One example related to matrices is also given as an application. | en_US |
dc.identifier.citation | Sahoo, Soubhagya Kumar;...et.al. (2022). "Hermite-Hadamard type inclusions via generalized Atangana-Baleanu fractional operator with application", AIMS Mathematics, Vol.7, No.7, pp.12303-12321. | en_US |
dc.identifier.doi | 10.3934/math.2022683 | |
dc.identifier.endpage | 12321 | en_US |
dc.identifier.issn | 24736988 | |
dc.identifier.issue | 7 | en_US |
dc.identifier.startpage | 12303 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/7553 | |
dc.identifier.volume | 7 | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | AIMS Mathematics | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Atangana-Baleanu Fractional Integral Operators | en_US |
dc.subject | Convex Functions | en_US |
dc.subject | Hermite-Hadamard Inequality | en_US |
dc.subject | Jensen’s Inequality | en_US |
dc.subject | Young Inequality | en_US |
dc.title | Hermite-Hadamard type inclusions via generalized Atangana-Baleanu fractional operator with application | tr_TR |
dc.title | Hermite-Hadamard Type Inclusions Via Generalized Atangana-Baleanu Fractional Operator With Application | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |