A study on error bounds for Newton-type inequalities in conformable fractional integrals
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Walter De Gruyter Gmbh
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The authors of the paper suggest a novel approach in order to examine an integral equality using conformable fractional operators. By using this identity, some Newton-type inequalities are proved for differentiable convex functions by taking the modulus of the newly established equality. Moreover, we prove some Newton-type inequalities by using the H & ouml;lder and power-mean inequality. Furthermore, some new results are presented by using special choices of obtained inequalities. Finally, we give some conformable fractional Newton-type inequalities for functions of bounded variation.
Açıklama
Anahtar Kelimeler
Newton formula, fractional calculus, conformable fractional integrals
Kaynak
Mathematica Slovaca
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
74
Sayı
2
