Some new fractal Milne-type inequalities for generalized convexity with applications
Küçük Resim Yok
Tarih
2025
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Fractals are of immense importance across various branches of mathematics, science, and integral inequalities, as their intricate, self-similar structures can model complex natural phenomena and enhance the precision of mathematical descriptions. In this article, we explore generalized Milne-type integral inequalities within the framework of generalized m-convex functions on fractal sets. To achieve this, we introduce a novel fractal integral identity involving differentiable generalized functions. Utilizing this new identity, we derive several contemporary fractal Milne-type integral inequalities and provide specific inequalities for bounded functions. Additionally, we offer illustrative examples and applications, including additional inequalities for generalized special means and various error estimates for the generalized Milne-type quadrature formula.
Açıklama
Anahtar Kelimeler
Milne-type inequality, Generalized m-convex function, Local fractional integrals, H & ouml;lder's inequality, Power mean inequality, Special means, Quadrature formula
Kaynak
Boundary Value Problems
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
2025
Sayı
1
