On Parameterized Simpson, Midpoint and Trapezoid Type Inequalities for Differentiable (η1, η2) −Convex Functions via Generalized Fractional Integrals

Yıldırım S. K., BUDAK H., Yıldırım H.

Konuralp Journal of Mathematics, cilt.9, sa.2, ss.356-370, 2021 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 2
  • Basım Tarihi: 2021
  • Dergi Adı: Konuralp Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.356-370
  • Anahtar Kelimeler: convex functions, fractional calculus, Integral inequalities, simpson’s 31 formula
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, we first obtain an identity for differentiable mappings. Then we establish some new generalized inequalities for differentiable (η1, η2) − 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.