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Journal of Automation and Information Sciences

年間 12 号発行

ISSN 印刷: 1064-2315

ISSN オンライン: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Approximative Properties of the Threeharmonic Poisson Integrals on the Hölder Classes

巻 50, 発行 8, 2018, pp. 77-86
DOI: 10.1615/JAutomatInfScien.v50.i8.70
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要約

A solution of the Kolmogorov–Nikolsky problem for the threeharmonic Poisson integrals on the Hölder classes Hα for ∀α∈(0,1) in uniform metric is found. New task formulations of the approximation problem, as an auxiliary problem of decision making, allow one to obtain more adequate knowledge about the development of the situation, for the description of which this mathematical model was used. The proposed approach will allow building real models of the functioning of various systems (economic, ecological, social) in the conditions of limited and incomplete information, and consequently, make effective decisions based on available statistical information.

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によって引用された
  1. Kal'chuk Inna, Kravets Vasyl', Hrabova Ulyana, Approximation of the classes W^{r}_{\beta}H^{\alpha} by three-harmonic Poisson integrals, Ukrainian Mathematical Bulletin, 16, 3, 2019. Crossref

  2. Kal’chuk Inna V., Kravets Vasyl’ I., Hrabova Ulyana Z., Approximation of the classes $$ {W}_{\beta}^r{H}^{\alpha } $$ by three-harmonic Poisson integrals, Journal of Mathematical Sciences, 246, 1, 2020. Crossref

  3. Sobchuk Valentyn, Kal'chuk Inna, Kharkevych Galyna, Laptiev Oleksandr, Kharkevych Yurii, Makarchuk Andriy, Solving the Problem of Convergence of the Results of Analog Signals Conversion in the Process of Aircraft Control, 2021 IEEE 6th International Conference on Actual Problems of Unmanned Aerial Vehicles Development (APUAVD), 2021. Crossref

  4. Sobchuk Valentyn, Kal'Chuk Inna, Kharkevych Yurii, Kharkevych Galyna, Estimations of the Convergence Rate of the Fourier Transformation for Data Processing Efficiency Improvement, 2021 IEEE 3rd International Conference on Advanced Trends in Information Theory (ATIT), 2021. Crossref

  5. Makarchuk Andriy, Kal'Chuk Inna, Kharkevych Yurii, Salnikova Svitlana, Biharmonic Equations Integrals Application Features at Signals Restoration by Means of Interpolation Polynomials, 2021 IEEE 3rd International Conference on Advanced Trends in Information Theory (ATIT), 2021. Crossref

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