New insights on fractal-fractional integral inequalities: Hermite-Hadamard and Milne estimates
Küçük Resim Yok
Tarih
2025
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper investigates fractal-fractional integral inequalities for generalized s-convex functions. We begin by establishing a fractal-fractional Hermite-Hadamard inequality for such functions. In addition, a novel identity is introduced, which serves as the basis for deriving some fractal-fractional Milne-type inequalities for functions whose first-order local fractional derivatives exhibit generalized s-convexity. Subsequently, we provide additional results using the improved generalized H & ouml;lder and power mean inequalities, followed by a numerical example with graphical representations that confirm the accuracy of the obtained results. The study concludes with several applications to demonstrate the practicality and relevance of the proposed inequalities in various settings.
Açıklama
Anahtar Kelimeler
Fractal-fractional integrals, Generalized s-convexity, Hermite-Hadamard inequality, Milne inequality, Fractal set
Kaynak
Chaos Solitons & Fractals
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
193
