On Parameterized Simpson, Midpoint and Trapezoid Type Inequalities for Differentiable$\ \left( \eta _{1},\eta _{2}\right) -$Convex Functions via Generalized Fractional Integrals
Küçük Resim Yok
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mehmet Zeki SARIKAYA
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we first obtain an identity for differentiable mappings. Then we establish some new generalized inequalities for differentiable $\left( \eta _{1},\eta _{2}\right) -$ convex functions involving some parameters and generalized fractional integrals. We show that these results reduces to several new Simpson, midpoint and trapezoid type inequalities. Some special cases are also discussed.
Açıklama
Anahtar Kelimeler
simpson's 1/3 formula|Integral inequalities|fractional calculus|convex functions
Kaynak
Konuralp Journal of Mathematics
WoS Q Değeri
Scopus Q Değeri
Cilt
9
Sayı
2
