MULTIPLICATIVE FRACTIONAL BULLEN-TYPE INEQUALITIES IN THE FRAMEWORK OF G-CALCULUS

LAKHDARI A., Alkhrijah Y., Louhichi B., Ben Makhlouf A., BUDAK H.

Journal of Applied Analysis and Computation, cilt.16, sa.5, ss.2458-2473, 2026 (SCI-Expanded, Scopus) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 5
  • Basım Tarihi: 2026
  • Doi Numarası: 10.11948/20250333
  • Dergi Adı: Journal of Applied Analysis and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.2458-2473
  • Anahtar Kelimeler: G-calculus, GA-convex functions, GG-convex functions, multiplicative Bullen rule, multiplicative fractional integrals
  • Kocaeli Üniversitesi Adresli: Evet

Özet

This paper introduces a multiplicative analogue of the Bullen quadrature rule and develops a suitable notion of convexity tailored to the G-calculus framework. Building on these foundations, we derive a new fractional identity in the multiplicative setting, which serves as a key enabler for establishing Bullen-type inequalities via multiplicative Riemann-Liouville fractional integrals. This work integrate fractional calculus with multiplicative analysis for the study of integral inequalities, thereby proposing a novel pathway within non-Newtonian mathematical systems. Our results advance the theory of generalized calculus and open promising directions for future investigations into multiplicative fractional inequalities.