Simpson-type inequalities for the functions with bounded second derivatives involving generalized fractional integrals

In this study, the above and below bounds for Simpson-type inequalities concerning generalized fractional integrals are established through functions with bounded second derivatives. In addition, we also determined inequalities for special cases of our results and provided examples of these cases with their graphical representations.

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Publication Details

Journal
Boundary Value Problems
Published
2025-04-01
DOI
https://doi.org/10.1186/s13661-025-02040-8
Citations
1
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
3.73
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article

Simpson-type inequalities for the functions with bounded second derivatives involving generalized fractional integrals

Tuba Tunç, Gamzenur Köksaldı
1 citations
Boundary Value Problems
Mathematical Inequalities and Applications
3.73
article

Simpson-type inequalities for the functions with bounded second derivatives involving generalized fractional integrals

Tuba Tunç, Gamzenur Köksaldı
article en
1 citations

Abstract

In this study, the above and below bounds for Simpson-type inequalities concerning generalized fractional integrals are established through functions with bounded second derivatives. In addition, we also determined inequalities for special cases of our results and provided examples of these cases with their graphical representations.

Boundary Value ProblemsVol. 2025(1)
Düzce Üniversitesi (TR)
Reduced inequalities
Openalex Percentile: Top 12%
Mathematical Inequalities and Applications
3.73
DOIOpen Access PDFOpenAlex
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Simpson-type inequalities for the functions with bounded second derivatives involving generalized fractional integrals — Tuba Tunç, Gamzenur Köksaldı · Boundary Value Problems (2025) | TGRS Research Map | TGRS