New integral inequalities for functions with concave powers of second derivatives

<span style="color: rgb(33, 37, 41); font-family: system-ui, -apple-system, &quot;Segoe UI&quot;, Roboto, &quot;Helvetica Neue&quot;, &quot;Noto Sans&quot;, &quot;Liberation Sans&quot;, Arial, sans-serif, &quot;Apple Color Emoji&quot;, &quot;Segoe UI Emoji&quot;, &quot;Segoe UI Symbol&quot;, &quot;Noto Color Emoji&quot;; font-size: 16px; font-weight: 700; background-color: rgb(245, 245, 245);">In this study, we derived several new integral inequalities for functions whose second derivatives in absolute value, raised to the power q &gt; 1, are concave. Furthermore, new identities involving fractional operators for twice differentiable functions are obtained.</span>

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Publication Details

Journal
Bursa Uludag University - AVESIS
Published
2026-04-01
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

New integral inequalities for functions with concave powers of second derivatives

Maya Andric, MUHAMET EMİN ÖZDEMİR
Bursa Uludag University - AVESIS
Mathematical Inequalities and Applications
article

New integral inequalities for functions with concave powers of second derivatives

Maya Andric, MUHAMET EMİN ÖZDEMİR
article en

Abstract

<span style="color: rgb(33, 37, 41); font-family: system-ui, -apple-system, &quot;Segoe UI&quot;, Roboto, &quot;Helvetica Neue&quot;, &quot;Noto Sans&quot;, &quot;Liberation Sans&quot;, Arial, sans-serif, &quot;Apple Color Emoji&quot;, &quot;Segoe UI Emoji&quot;, &quot;Segoe UI Symbol&quot;, &quot;Noto Color Emoji&quot;; font-size: 16px; font-weight: 700; background-color: rgb(245, 245, 245);">In this study, we derived several new integral inequalities for functions whose second derivatives in absolute value, raised to the power q &gt; 1, are concave. Furthermore, new identities involving fractional operators for twice differentiable functions are obtained.</span>

Bursa Uludag University - AVESIS
Reduced inequalities
Openalex Percentile: Top 4%
Mathematical Inequalities and Applications
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New integral inequalities for functions with concave powers of second derivatives — Maya Andric, MUHAMET EMİN ÖZDEMİR · Bursa Uludag University - AVESIS (2026) | TGRS Research Map | TGRS