REMARKS ON INEQUALITIES WITH PARAMETER BY CONFORMABLE FRACTIONAL INTEGRALS
Küçük Resim Yok
Tarih
2025
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We prove that an equation holds for differentiable convex functions, and this result has been derived using conformable integrals. With the help of this equality, several parameterized inequalities are established by using the conformable fractional integrals. Namely, we show that our main inequalities reduce to Ostrowski-, Hermite-Hadamard-, Simpson-, and Bullen-type inequalities which are proved in earlier published papers. More precisely, some inequalities are acquired by taking advantage of the convexity, the Holder, and the power mean inequalities. Finally, examples are given to illustrate the investigated results.
Açıklama
Anahtar Kelimeler
Ostrowski-Type Inequality, Hermite-Hadamard-Type Inequality, Simpson-Type Inequality, Bullen-Type Inequality, Fractional Conformable Integrals, Fractional Calculus, Convex Function
Kaynak
Fractals-Complex Geometry Patternsand Scaling in Natureand Society
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
33
Sayı
3
