Trapezoid Inequalities for Twice Differentiable Mappings

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.

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Publication Details

Journal
Universal Journal of Mathematics and Applications
Published
2025-11-30
DOI
https://doi.org/10.32323/ujma.1801234
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

Trapezoid Inequalities for Twice Differentiable Mappings

Mehmet Zeki Sarıkaya
Universal Journal of Mathematics and Applications
Mathematical Inequalities and Applications
article

Trapezoid Inequalities for Twice Differentiable Mappings

Mehmet Zeki Sarıkaya
article en

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.

Universal Journal of Mathematics and ApplicationsVol. 8(4)
Düzce Üniversitesi (TR)
Openalex Percentile: Top 50%
Mathematical Inequalities and Applications
DOIOpen Access PDFOpenAlex
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Trapezoid Inequalities for Twice Differentiable Mappings — Mehmet Zeki Sarıkaya · Universal Journal of Mathematics and Applications (2025) | TGRS Research Map | TGRS