On Further Inequalities for Convex Functions via Generalized Weighted-Type Fractional Operators

Yıldız Ç., Rahman G., Cotîrla L.

FRACTAL AND FRACTIONAL, cilt.7, ss.1-18, 2023 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7
  • Basım Tarihi: 2023
  • Doi Numarası: 10.3390/fractalfract7070513
  • Dergi Adı: FRACTAL AND FRACTIONAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, INSPEC, Directory of Open Access Journals
  • Sayfa Sayıları: ss.1-18
  • Atatürk Üniversitesi Adresli: Evet

Özet

Several inequalities for convex functions are derived in this paper using the monotonicity properties of functions and a generalized weighted-type fractional integral operator, which allows the integration of a function k with respect to another function in fractional order. Additionally, it is clear that the results were generalizations of the previously presented findings. In addition, different types of inequalities are obtained using the basic features of mathematical analysis. Finally, we believe that the methodology used in this work will inspire additional research in this field.