New Perspectives on Fractional Milne-Type Inequalities: Insights from Twice-Differentiable Functions
Universal Journal of Mathematics and Applications, cilt.7, sa.1, ss.30-37, 2024 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 7 Sayı: 1
- Basım Tarihi: 2024
- Doi Numarası: 10.32323/ujma.1397051
- Dergi Adı: Universal Journal of Mathematics and Applications
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.30-37
- Anahtar Kelimeler: Convex function, Fractional integrals, Milne type inequalities, Twice differentiable
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Kocaeli Üniversitesi Adresli: Hayır
Özet
This paper delves into an inquiry that centers on the exploration of fractional adaptations of Milne-type inequalities by employing the framework of twice-differentiable convex mappings. Leveraging the fundamental tenets of convexity, Hölder’s inequality, and the power-mean inequality, a series of novel inequalities are deduced. These newly acquired inequalities are fortified through insightful illustrative examples, bolstered by rigorous proofs. Furthermore, to lend visual validation, graphical representations are meticulously crafted for the showcased examples.