The Peano–Sard theorem for fractional operators with Mittag-Leffler kernel and application in classical numerical approximation

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URI: https://hdl.handle.net/10347/46528
E-ISSN: 0377-0427
DOI: 10.1016/J.CAM.2024.116262

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2025-03-15

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Elsevier
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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.

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Bounded kernel| Fractional operator| Interpolation error| Peano kernel

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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

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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).

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© 2024 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license.
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Estatística, Análise Matemática e Optimización
Centro de Investigación e Tecnoloxía Matemática de Galicia (CITMAga)