Milne-Type inequalities via expanded fractional operators: A comparative study with different types of functions
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This study focused on deriving Milne-type inequalities using expanded fractional integral operators. We began by establishing a key equality associated with these operators. Using this equality, we explored Milne-type inequalities for functions with convex derivatives, supported by an illustrative example for clarity. Additionally, we investigated Milne-type inequalities for bounded and Lipschitzian functions utilizing fractional expanded integrals. Finally, we extended our exploration to Milne-type inequalities involving functions of bounded variation.
Açıklama
Anahtar Kelimeler
fractional integrals, Milne-type inequalities, functions of bounded variation, convex functions, bounded functions, Simpsons Type
Kaynak
Aims Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
9
Sayı
5
