Fractional Hermite-Hadamard inequality, Simpson's and Ostrowski's type inequalities for convex functions with respect to a pair of functions
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Rocky Mt Math Consortium
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We consider the convexity with respect to a pair of functions and establish a Hermite-Hadamard type inequality for Riemann-Liouville fractional integrals. Moreover, we derive some new Simpson's and Ostrowski's type inequalities for differentiable convex mapping with respect to a pair of functions. We also show that the newly established inequalities are the extension of some existing inequalities. Finally, we consider some mathematical examples and graphs to show the validity of the newly established inequalities.
Açıklama
Anahtar Kelimeler
Hermite-Hadamard inequality, Simpson's inequality, Ostrowski's inequality, fractional calculus, (g, h)-convex functions
Kaynak
Rocky Mountain Journal of Mathematics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
53
Sayı
2
