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

Authors

  • Fatih Hezenci
  • Hüseyin Budak

DOI:

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

Keywords:

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

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.

Published

2025-04-23

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How to Cite

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