Deriving weighted Newton-type inequalities for diverse function classes through Riemann-Liouville fractional integrals
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This study introduces weighted Newton-type inequalities for diverse function classes via Riemann-Liouville fractional integrals. We begin by employing a positive weighted function to demonstrate a crucial integral equality which necessary for establishing the main outcomes. Leveraging this equality along with Riemann- Liouville fractional integrals, we prove several weighted Newton-type inequalities for various function classes, including differentiable convex functions, bounded functions, Lipschitzian functions, and functions of bounded variation. From the obtained results, one can get an insights into the implications of Newton-type inequalities and outlines potential avenues for future research endeavors.
Açıklama
Anahtar Kelimeler
Weighted inequalities, Newton-type inequalities, Fractional integral inequalities
Kaynak
Chaos Solitons & Fractals
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
186
