Enhancing Some Inequalities via Fractional Extended Riemann–Liouville Integrals: Jensen–Mercer Perspective

Hyder A., BUDAK H.

Mathematical Methods in the Applied Sciences, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1002/mma.70257
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: fractional inequalities, fractional integrals, Jensen–Mercer inequality
  • Kocaeli Üniversitesi Adresli: Evet

Özet

This paper aims to derive novel forms of trapezoid and midpoint inequalities within the context of fractional extended Riemann–Liouville integrals (FERLIs). The approach relies on the foundational Jensen–Mercer inequality to develop the arguments. Central to the development are several identities involving FERLIs and (Formula presented.) -convex functions that form the basis of the obtained results. Relationships with earlier studies concerning both classical and extended Riemann–Liouville fractional integrals are examined.