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Error Bounds for Corrected Euler-Maclaurin Formula in Tempered Fractional Integrals

Year:    2025

Author:    Fatih Hezenci, Hüseyin Budak

Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 2 : pp. 602–621

Abstract

In this paper, an equality is established for tempered fractional integrals. With the help of this equality, we prove several corrected Euler-Maclaurin-type inequalities for the case of differentiable convex functions involving tempered fractional integrals. Moreover, we provide our results by using special cases of obtained theorems.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2025.602

Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 2 : pp. 602–621

Published online:    2025-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    20

Keywords:    Quadrature formulae corrected Maclaurin’s formula tempered fractional integrals convex functions.

Author Details

Fatih Hezenci

Hüseyin Budak