Publicou 12 edições por ano
ISSN Imprimir: 1064-2315
ISSN On-line: 2163-9337
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Approximation of Functions Holding the Lipschitz Conditions on a Finite Segment of the Real Axis by the Poisson–Chebyshev Integrals
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RESUMO
Approximation properties of the Poisson–Chebyshev integrals are studied on the classes of the Lipschitz functions, given on a segment of the real axis. Solutions of the mentioned problem are used in the problems of the theory of conservation, retrieval, and transmission of information (global searching systems in the Internet), in the theory of prediction and decision-making, conflict-controlled processes, etc. Asymptotic estimates of the upper limits of the functions deviation holding the Lipschitz condition on a finite segment of the real axis are obtained by the Poisson–Chebyshev integrals.
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Zhyhallo K. M., Zhyhallo T. V., On The Approximation of Functions from The Hölder Class Given On a Segment by Their Biharmonic Poisson Operators, Ukrainian Mathematical Journal, 71, 7, 2019. Crossref
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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
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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
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Potseiko P. G., Rovba E. A., Approximations on Classes of Poisson Integrals by Fourier–Chebyshev Rational Integral Operators, Siberian Mathematical Journal, 62, 2, 2021. Crossref
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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