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On a Connection of Bernstein and Kantorovich Polynomials for a Symmetric Modulus Function

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Abstract

We discuss a connection of Bernstein and Kantorovich polynomials in the case of a symmetric modulus function. Some new results on the matter are presented.

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Acknowledgments

The authors are grateful to D.G. Tsvetkovich for her help in preparing the paper.

Funding

The work was carried out with the partial financial support of the Ministry of Science and Higher Education of the Russian Federation within the framework of the program of the Moscow Center for Fundamental and Applied Mathematics (Grant no. 075–15–2019–1621).

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Authors and Affiliations

  1. Moscow Pedagogical State University, Moscow, Russia

    I. V. Okorochkov

  2. Moscow Center for Fundamental and Applied Mathematics, Lomonosov Moscow State University, Moscow, Russia

    I. V. Tikhonov & V. B. Sherstyukov

Authors
  1. I. V. Okorochkov
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  2. I. V. Tikhonov
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  3. V. B. Sherstyukov
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Corresponding author

Correspondence to I. V. Okorochkov.

Additional information

Translated from Vladikavkazskii Matematicheskii Zhurnal, 2022, Vol. 24, No. 1, pp. 87–99. https://doi.org/10.46698/w0554-1733-2841-u

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Okorochkov, I.V., Tikhonov, I.V. & Sherstyukov, V.B. On a Connection of Bernstein and Kantorovich Polynomials for a Symmetric Modulus Function. Sib Math J 64, 747–756 (2023). https://doi.org/10.1134/S0037446623030230

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  • DOI: https://doi.org/10.1134/S0037446623030230

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