SIMPSON-TYPE INEQUALITIES VIA p(H,M)-LOG-CONVEXITY FOR MULTIPLICATIVE WEIGHTED INTEGRALS

Bayraktar B., Gómez L., Nápoles J.

Problemy Analiza, cilt.15, sa.1, ss.31-54, 2026 (ESCI, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 1
  • Basım Tarihi: 2026
  • Doi Numarası: 10.15393/j3.art.2026.19590
  • Dergi Adı: Problemy Analiza
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.31-54
  • Anahtar Kelimeler: (h,m)-convex functions, fractional weighted integrals, generalized integral operators, Holder inequality, modified multiplicative convexity, multiplicative calculus, power mean inequality, Simpson-type inequalities
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

The paper presents a new class of modified multiplicative (h,m)-convex functions and formulates the concept of weighted multiplicative generalized integral operators. Two new integral identities are derived, providing a fundamental basis for constructing refined dual Simpson-type inequalities containing fractional weighted integrals. Several illustrative special cases are given, demonstrating that some of the obtained inequalities are reduced to known results described in the literature, which confirms the validity and generality of the proposed framework.