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Approximation of functions with growing derivatives

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We consider nondegenerate (simplicial) subdivisions (triangulation), refined near the boundary of a domain, and derive weight estimates for the Courant approximation of functions whose second order derivatives grow (near the boundary). Bibliography: 7 titles.

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References

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Authors and Affiliations

  1. St. Petersburg State University, 28, Universitetskii pr., Petrodvorets, St. Petersburg, 198504, Russia

    E. P. Arsent’eva & Yu. K. Dem’yanovich

Authors
  1. E. P. Arsent’eva
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  2. Yu. K. Dem’yanovich
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Correspondence to Yu. K. Dem’yanovich.

Additional information

Translated from Problems in Mathematical Analysis 60, September 2011, pp. 3–11.

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Arsent’eva, E.P., Dem’yanovich, Y.K. Approximation of functions with growing derivatives. J Math Sci 178, 565–575 (2011). https://doi.org/10.1007/s10958-011-0570-9

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  • DOI: https://doi.org/10.1007/s10958-011-0570-9

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