ON NEWTON-TYPE INEQUALITIES IN NON-NEWTONIAN CALCULUS VIA AG-CONVEXITY
Advances in Mathematical Sciences and Applications, cilt.35, sa.2, ss.537-558, 2026 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 35 Sayı: 2
- Basım Tarihi: 2026
- Dergi Adı: Advances in Mathematical Sciences and Applications
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.537-558
- Anahtar Kelimeler: h-convex function, Multiplicative absolute value, Newton-Cotes quadrature formula, Non-Newtonian calculus
- Kocaeli Üniversitesi Adresli: Evet
Özet
This study estimates the Newton-Cotes quadrature formula for functions that are differentiable up to the third, second, and first order in a AG-multiplicative calculus, as defined by the Riemann integral, using the multiplicative absolute value and assuming the function is multiplicative h-convexity. We also get similar results for multiplicatively s-convex functions and P-functions. .