An Extension of Left Radau Type Inequalities to Fractal Spaces and Applications

Bin-Mohsin B., Lakhdari A., Karabadji N. E. I., Awan M. U., Ben Makhlouf A., Meftah B., ...Daha Fazla

AXIOMS, sa.9, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2024
  • Doi Numarası: 10.3390/axioms13090653
  • Dergi Adı: AXIOMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this study, we introduce a novel local fractional integral identity related to the Gaussian two-point left Radau rule. Based on this identity, we establish some new fractal inequalities for functions whose first-order local fractional derivatives are generalized convex and concave. The obtained results not only represent an extension of certain previously established findings to fractal sets but also a refinement of these when the fractal dimension mu is equal to one. Finally, to support our findings, we present a practical application to demonstrate the effectiveness of our results.