THREE FRACTIONAL INEQUALITIES BASED ON A SINGLE PARAMETER IN THE CONTEXT OF AG-MULTIPLICATIVE h-CONVEX FUNCTIONS
International Journal of Mathematics and Physics, cilt.17, sa.1, ss.149-165, 2026 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 17 Sayı: 1
- Basım Tarihi: 2026
- Doi Numarası: 10.26577/ijmph.202617114
- Dergi Adı: International Journal of Mathematics and Physics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.149-165
- Anahtar Kelimeler: AG-multiplicative fractional integrals, AG-multiplicative h-convex functions, Multiplicative absolute value, Parameterized inequality
- Kocaeli Üniversitesi Adresli: Evet
Özet
This article introduces novel three parameterized fractional inequalities based on a one parameter ν derived from functions that are AG-multiplicative differentiable, as characterized by AG-multiplicatively Riemann-Liouville operators (classical, middle starting point, and middle ending point). By employing the multiplicative absolute value and supposing the function is AG-multiplicative h-convex, we can develop three identities and utilize them to derive a series of inequalities for AG-multiplicatively h-convex mappings. We additionally present these findings for AG-multiplicative P-functions convex mapping and AG-multiplicative s-convex functions. The last section delineates specific instances, including trapezoid, midpoint, Bullen, Milne, Simpson and corrected Simpson AG-multiplicative fractional inequalities. We further illustrate that certain results reported here improve established results, while others represent generalizations.