We propose a numerical method of test algebraic polynomials for constructing the operators \( \sum_{k=1}^n{\uplambda}_kh\left({\uplambda}_kz\right) \) with odd n, real λ k , and an even analytic function h(z) in a neighborhood of the origin that approximate the differential operator (zh(z))′ with local error O(z n+2) (z → 0), n ≤ 51.
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Translated from Problemy Matematicheskogo Analiza 88, March 2017, pp. 119-126.
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Nigmatyanova, Y.M. Numerical Analysis of the Method of Differentiation by Means of Real h-Sums. J Math Sci 224, 735–743 (2017). https://doi.org/10.1007/s10958-017-3447-8
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DOI: https://doi.org/10.1007/s10958-017-3447-8