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

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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.

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DOI

10.12150/jnma.2025.602

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Error Bounds for Corrected Euler-Maclaurin Formula in Tempered Fractional Integrals. (2025). Journal of Nonlinear Modeling and Analysis, 7(2), 602-621. https://doi.org/10.12150/jnma.2025.602