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Generalized Bezier transformation

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Abstract

The properties of the generalized Bezier transformation and its application to the approximation of functions and the construction of curves are studied. The multidimensional version of this transformation is also considered.

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References

  1. P. Chenin, M. Cosnard, F. Robert, Y. Robert, P. Witomski, and M. Tombs, Numerical Methods for CAD, translated from the French by M. Tombs (Kogan Page Ltd., London, 1985; Mir, Moscow, 1988).

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  4. Yu. I. Volkov, “Multidimensional approximation operators generated by Lebesgue-Stieltjes measures,” Izv. Akad. Nauk SSSR Ser. Mat. 47(3), 435–454 (1983) [Math. USSR-Izv. 22, 399–418 (1984)].

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Authors and Affiliations

  1. Vinnichenko Kirovograd State Pedagogical University, Kirovograd, Ukraine

    Yu. I. Volkov

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  1. Yu. I. Volkov
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Correspondence to Yu. I. Volkov.

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Original Russian Text © Yu. I. Volkov, 2015, published in Matematicheskie Zametki, 2015, Vol. 97, No. 5, pp. 655–664.

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Volkov, Y.I. Generalized Bezier transformation. Math Notes 97, 669–678 (2015). https://doi.org/10.1134/S0001434615050028

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  • DOI: https://doi.org/10.1134/S0001434615050028

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