Trapezoid Inequalities for Twice Differentiable Mappings

Year 2025, Volume: 8 Issue: 4, 195 - 198, 11.12.2025

Mehmet Zeki Sarıkaya

https://doi.org/10.32323/ujma.1801234

Abstract

This study introduces a new identity to derive alternative results for the inequality in (1.1) and compares them with previous findings. Additionally, new trapezoid inequalities are developed using the convexity of second-order derivatives' absolute values.

Keywords

Convex function , Hermite-Hadamard inequalities , Hölder inequality , Trapezoid inequality

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