Visualization of fractional reverse inequalities involving interval-valued convexity and their application

Mehmood A., Liu Z., Younis M., Samraiz M., BUDAK H., Khan B.

Journal of Computational and Applied Mathematics, cilt.485, 2026 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 485
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1016/j.cam.2026.117582
  • Dergi Adı: Journal of Computational and Applied Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, MathSciNet, zbMATH
  • Anahtar Kelimeler: (k</ce:text></ce:keyword><ce:keywordid="key0008"><ce:textid="txt0006">s)-Riemann-Liouville fractional integral operator, Convex function, Fractional inequalities, Hermite-Hadamard-inequality, Interval-valued
  • Kocaeli Üniversitesi Adresli: Evet

Özet

This research utilizes the (k, s)-Riemann-Liouville fractional integral operator (RLFIO) to investigate reverse forms of Hermite-Hadamard-Fejér (HHF), Minkowski's and Hölder type inequalities within an interval-valued (I.V) (ℵs+1,℧) class of convex functions. The concept of I.V (ℵs+1,℧)-convexity associated with the (k, s)-RLFIO is introduced, which generalizes several existing convexity definitions. By assigning specific values to the parameters, bounds for the (k, s)-RLFIO within the I.V (ℵs+1,℧) framework are established, leading to new refinements of HHF and Pachpatte-type inequalities. Finally, the implications of these results are explored and validated through simulations and graphical visualizations.