RT Journal Article T1 The Peano–Sard theorem for fractional operators with Mittag-Leffler kernel and application in classical numerical approximation A1 Jornet, Marc A1 Nieto Roig, Juan José K1 Bounded kernel K1 Fractional operator K1 Interpolation error K1 Peano kernel AB We investigate fractional Peano kernels for continuous linear functionals, in the context of differintegral operators with Mittag-Leffler kernel. New bounds for polynomial interpolation are obtained and numerical computations are shown, indicating improvements. PB Elsevier YR 2025 FD 2025-03-15 LK https://hdl.handle.net/10347/46528 UL https://hdl.handle.net/10347/46528 LA eng NO Jornet, M., & Nieto, J. J. (2025). The Peano–Sard theorem for fractional operators with Mittag-Leffler kernel and application in classical numerical approximation. Journal of Computational and Applied Mathematics, 457. https://doi.org/10.1016/J.CAM.2024.116262 NO The research of J.J. Nieto was supported by the Agencia Estatal de Investigación (AEI) of Spain Grant PID2020-113275GB-I00 funded by MCIN/AEI/10.13039/501100011033 and by “ERDF A way of making Europe”, by the “European Union ” and Xunta de Galicia, grant ED431C 2023/12 for Competitive Reference Research Groups (2023–2026). DS Minerva RD 19 may 2026