Some perturbed inequalities of Ostrowski type for twice differentiable functions

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Erden S., BUDAK H., Sarikaya M. Z.

Mathematica, cilt.63, sa.2, ss.232-242, 2021 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 63 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.24193/mathcluj.2021.2.09
  • Dergi Adı: Mathematica
  • Derginin Tarandığı İndeksler: Scopus, zbMATH
  • Sayfa Sayıları: ss.232-242
  • Anahtar Kelimeler: Function of bounded variation, Perturbed Ostrowski type inequalities
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Kocaeli Üniversitesi Adresli: Evet

Özet

We establish new perturbed Ostrowski type inequalities for functions whose second derivatives are of bounded variation. In addition, we obtain some integral inequalities for absolutely continuous mappings. Finally, some inequalities related to Lipschitzian derivatives are given.