DOAJ Open Access 2025

Tempered fractional version of trapezoid-type inequalities

Fatih Hezenci Hüseyin Budak

Abstrak

Abstract 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.

Topik & Kata Kunci

Penulis (2)

F

Fatih Hezenci

H

Hüseyin Budak

Format Sitasi

Hezenci, F., Budak, H. (2025). Tempered fractional version of trapezoid-type inequalities. https://doi.org/10.1186/s13660-025-03346-y

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Informasi Jurnal
Tahun Terbit
2025
Sumber Database
DOAJ
DOI
10.1186/s13660-025-03346-y
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Open Access ✓