On tempered fractional Bullen-type inequalities: analysis in different function settings
Küçük Resim Yok
Tarih
2026
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Tempered 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.
Açıklama
Anahtar Kelimeler
Tempered Fractional Integrals, Bullen-Type Inequalities, Convex Functions, R-L-H & Ouml;Lderian Functions, Functions Of Bounded Variation, Young'S Inequality
Kaynak
Kuwait Journal of Science
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
53
Sayı
1
