On tempered fractional Bullen-type inequalities: analysis in different function settings

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dc.contributor.authorLakhdari, Abdelghani
dc.contributor.authorSarikaya, Mehmet Zeki
dc.contributor.authorBudak, Huseyin
dc.contributor.authorMeftah, Badreddine
dc.date.accessioned2026-07-01T11:40:01Z
dc.date.available2026-07-01T11:40:01Z
dc.date.issued2026
dc.departmentDüzce Üniversitesi
dc.description.abstractTempered fractional integrals offer a flexible and physically realistic extension of classical fractional operators by incorporating an exponential tempering factor that attenuates long-range memory effects. This modification not only ensures better convergence and numerical stability but also allows for more accurate modeling of real-world phenomena such as anomalous diffusion, financial returns, or geophysical processes, where power-law behaviors are observed but truncated at large scales. This study advances Bullen-type inequalities within the framework of tempered fractional calculus. By formulating a novel identity based on tempered operators, we derive generalized estimates applicable to various function classes, including those with convex or bounded derivatives, r-L-H & ouml;lderian functions, and functions of bounded variation. The inclusion of exponential tempering parameters refines classical Bullen results by balancing non-local effects with convergence guarantees. To illustrate their applicability, these bounds are applied to special means, highlighting how convexity constraints help stabilize tempered fractional integrals in practical contexts.
dc.identifier.doi10.1016/j.kjs.2025.100515
dc.identifier.issn2307-4108
dc.identifier.issn2307-4116
dc.identifier.issue1
dc.identifier.orcid0000-0003-2943-2678
dc.identifier.orcid0000-0002-6165-9242
dc.identifier.orcid0000-0001-8843-955X
dc.identifier.orcid0000-0001-8843-955X
dc.identifier.scopus2-s2.0-105023437843
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1016/j.kjs.2025.100515
dc.identifier.urihttps://hdl.handle.net/20.500.12684/23574
dc.identifier.volume53
dc.identifier.wosWOS:001630511000001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofKuwait Journal of Science
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20260623
dc.subjectTempered Fractional Integrals
dc.subjectBullen-Type Inequalities
dc.subjectConvex Functions
dc.subjectR-L-H & Ouml;Lderian Functions
dc.subjectFunctions Of Bounded Variation
dc.subjectYoung'S Inequality
dc.titleOn tempered fractional Bullen-type inequalities: analysis in different function settings
dc.typeArticle

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