Generalizations Euler-Maclaurin-type inequalities for conformable fractional integrals

In this study, we obtain a unique insight into differentiable convex functions by employing newly defined conformable fractional integrals. With this innovative approach, we unveil fresh Euler-Maclaurin-type inequalities designed specifically for these integrals. Our proofs draw on fundamental mathematical principles, including convexity, H?lder?s inequality, and power mean inequality. Furthermore, we delve into new inequalities applicable to bounded functions, Lipschitzian functions, and functions of bounded variation. Notably, our findings align with established results under particular circumstances.

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Publication Details

Journal
Filomat
Published
2025-01-01
DOI
https://doi.org/10.2298/fil2503033h
Citations
1
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
3.73
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article

Generalizations Euler-Maclaurin-type inequalities for conformable fractional integrals

Hüseyin Budak, Fatih Hezenci, Wali Haider, Asia Shehzadi et al.
1 citations
Filomat
Mathematical Inequalities and Applications
3.73
article

Generalizations Euler-Maclaurin-type inequalities for conformable fractional integrals

Hüseyin Budak, Fatih Hezenci, Wali Haider, Asia Shehzadi, Haibo Chen
article en
1 citations

Abstract

In this study, we obtain a unique insight into differentiable convex functions by employing newly defined conformable fractional integrals. With this innovative approach, we unveil fresh Euler-Maclaurin-type inequalities designed specifically for these integrals. Our proofs draw on fundamental mathematical principles, including convexity, H?lder?s inequality, and power mean inequality. Furthermore, we delve into new inequalities applicable to bounded functions, Lipschitzian functions, and functions of bounded variation. Notably, our findings align with established results under particular circumstances.

FilomatVol. 39(3)
Central South University (CN), Düzce Üniversitesi (TR)
Openalex Percentile: Top 8%
Mathematical Inequalities and Applications
3.73
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