SOME PERTURBED VERSIONS OF THE GENERALIZED TRAPEZOID TYPE INEQUALITIES FOR TWICE DIFFERENTIABLE FUNCTIONS

Creative Commons License

BUDAK H., Noeiaghdam S.

Fractional Differential Calculus, cilt.9, sa.1, ss.125-138, 2019 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.7153/fdc-2019-09-09
  • Dergi Adı: Fractional Differential Calculus
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.125-138
  • Anahtar Kelimeler: Function of bounded variation, perturbed trapezoid type inequalities, Riemann-Stieltjes integrals
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this study, we first obtain an identity for twice differentiable functions. Then we establish some new perturbed trapezoid type integral inequalities for functions whose first derivatives either are of bounded variation or Lipschitzian. Moreover, some perturbed versions of trapezoid type inequalities for mapping whose second derivatives are bounded, of bounded variation or Lipschitzian, respectively.