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Journal of Mathematical Sciences

, Volume 224, Issue 5, pp 735–743 | Cite as

Numerical Analysis of the Method of Differentiation by Means of Real h-Sums

  • Yu. M. NigmatyanovaEmail author
Article

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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Copyright information

© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  1. 1.A. G. and N. G. Stoletov Vladimir State UniversityVladimirRussia

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