We present sufficient conditions for the uniform convergence of interpolation processes constructed on the basis of solutions to Cauchy problems in terms of the one-sided modulus of continuity and modulus of variation of the approximated function on a compact connected subset of the domain.
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Translated from Problemy Matematicheskogo Analiza 108, 2021, pp. 149-166.
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Trynin, A.Y. Sufficient Conditions for Convergence of Generalized Sinc-Approximations on Segment. J Math Sci 255, 513–533 (2021). https://doi.org/10.1007/s10958-021-05389-0
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DOI: https://doi.org/10.1007/s10958-021-05389-0