Tempered fractional version of trapezoid-type inequalities

In this article, trapezoid-type inequalities are proved by means of convex functions according to tempered fractional integral operators. The resulting trapezoid-type inequalities generalize several studies on this subject, including those involving Riemann-Liouville fractional integrals. To obtain...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2025; no. 1; pp. 91 - 11
Main Authors Hezenci, Fatih, Budak, Hüseyin
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.12.2025
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Calculus
Convex analysis
Convex functions
Fractional calculus
Fractional integrals
Inequalities
Integrals
Mathematics
Mathematics and Statistics
Operators (mathematics)
Tempered fractional integrals
Trapezoid-type inequalities
26D10
Trapezoid-type inequalities
26A33
Convex functions
Tempered fractional integrals
Fractional integrals
26D07
26D15
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Summary:In this article, trapezoid-type inequalities are proved by means of convex functions according to tempered fractional integral operators. The resulting trapezoid-type inequalities generalize several studies on this subject, including those involving Riemann-Liouville fractional integrals. To obtain these types of inequalities, we utilize the Hölder and power-mean inequalities. Finally, new results are obtained through specific parameter choices.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-025-03346-y