Generalized trapezoid inequality for multiplicatively convex functions

LAKHDARI A., Meftah B., Benchettah D. C.

Boletim da Sociedade Paranaense de Matematica, cilt.43, 2025 (ESCI, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43
  • Basım Tarihi: 2025
  • Doi Numarası: 10.5269/bspm.66248
  • Dergi Adı: Boletim da Sociedade Paranaense de Matematica
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Anahtar Kelimeler: 26A51, 26D10, 26D15, generalized trapezoid inequality, multiplicatively convex functions, Non-Newtonian calculus
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, we first prove a new identity for multiplicative differentiable functions. Based on this identity, we establish a generalized trapezoid inequality for multiplicatively convex functions. Applications to special means are also given.