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Two-Sided Estimates of Some Coordinate Splines

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Two-sided estimates for the continuously differentiable coordinate splines of the second order are established, and sufficient conditions of their nonnegativity are provided. The results obtained are applied to trigonometric splines.

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References

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Authors and Affiliations

  1. St.Petersburg State University, St.Petersburg, Russia

    Yu. K. Dem’yanovich, D. M. Lebedinskiĭ & N. A. Lebedinskaya

Authors
  1. Yu. K. Dem’yanovich
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  2. D. M. Lebedinskiĭ
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  3. N. A. Lebedinskaya
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Correspondence to Yu. K. Dem’yanovich.

Additional information

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 439, 2015, pp. 74–92.

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Dem’yanovich, Y.K., Lebedinskiĭ, D.M. & Lebedinskaya, N.A. Two-Sided Estimates of Some Coordinate Splines. J Math Sci 216, 770–782 (2016). https://doi.org/10.1007/s10958-016-2941-8

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  • DOI: https://doi.org/10.1007/s10958-016-2941-8

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