Generalized trapezoid inequality for multiplicatively convex functions

LAKHDARI, Abdelghani; Meftah, Badreddine; Benchettah, Djaber

doi:10.5269/bspm.66248

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)

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.