New Perspectives on Fractional Milne-Type Inequalities: Insights from Twice-Differentiable Functions
2024; Süleyman Demirel University; Volume: 7; Issue: 1 Linguagem: Inglês
10.32323/ujma.1397051
ISSN2619-9653
AutoresHenok Desalegn Desta, Hüseyin Budak, Hasan Kara,
Tópico(s)Optimization and Variational Analysis
ResumoThis 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, H\"{o}lder'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.
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