On the Generalization of Ostrowski-Type Integral Inequalities via Fractional Integral Operators with Application to Error Bounds

Creative Commons License

Rahman G., Cortez M. V., Yıldız Ç., Samraiz M., Mubeen S., Yassen M. F.

FRACTAL AND FRACTIONAL, cilt.7, sa.9, ss.1-12, 2023 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 9
  • Basım Tarihi: 2023
  • Doi Numarası: 10.3390/fractalfract7090683
  • Dergi Adı: FRACTAL AND FRACTIONAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, Directory of Open Access Journals
  • Sayfa Sayıları: ss.1-12
  • Atatürk Üniversitesi Adresli: Evet

Özet

The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The Ostrowski’s type inequality is frequently used to investigate errors in numerical quadrature rules and computations. In this work, Ostrowski-type inequality is demonstrated using the generalized fractional integral operators. From an application perspective, we present the bounds of the fractional Hadamard inequalities. The results that are being presented involve a number of fractional inequalities that are already known and have been published.