We consider an approximation method based on Steklov functions of the first and second order. We obtain estimates for the norms in the space C of continuous periodic functions and clarify how they connect with numerical differentiation formulas.
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Translated from Problemy Matematicheskogo Analiza 94, 2018, pp. 21-34.
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Babushkin, M.V., Dodonov, N.Y. & Zhuk, V.V. Modified Steklov Functions and Numerical Differentiation Formulas. J Math Sci 235, 138–153 (2018). https://doi.org/10.1007/s10958-018-4064-x
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DOI: https://doi.org/10.1007/s10958-018-4064-x