TY - JOUR
T1 - Error Bounds for Corrected Euler-Maclaurin Formula in Tempered Fractional Integrals
AU - Hezenci , Fatih
AU - Budak , Hüseyin
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 602
EP - 621
PY - 2025
DA - 2025/04
SN - 7
DO - http://doi.org/10.12150/jnma.2025.602
UR - https://global-sci.org/intro/article_detail/jnma/24017.html
KW - Quadrature formulae, corrected Maclaurin’s formula, tempered
fractional integrals, convex functions.
AB - <p style="text-align: justify;">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.</p>