Fourier Transform of the Summatory Abel–Poisson Function-Reference-Cited by-同舟云学术

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Fourier Transform of the Summatory Abel–Poisson Function

Published:2022-11 Issue:6 Volume:58 Page:957-965
ISSN:1060-0396
Container-title:Cybernetics and Systems Analysis
language:en
Short-container-title:Cybern Syst Anal

Author:

Zhyhallo T. V.,Kharkevych Yu. I.

Publisher

Springer Science and Business Media LLC

Subject

General Computer Science

Link

https://link.springer.com/content/pdf/10.1007/s10559-023-00530-0.pdf

Reference37 articles.

1. A. Chikrii and I. Matychyn, “Riemann–Liouville, Caputo, and sequential fractional derivatives in differential games,” in: M. Breton, and K. Szajowski (eds.), Advances in Dynamic Games, Vol. 11 (2011), pp. 61–81. https://doi.org/10.1007/978-0-8176-8089-3_4.

2. A. A. Chikrii and I. I. Matichin, “Game problems for fractional-order linear systems,” Proc. Steklov Instit. Math., Vol. 268, 54–70 (2010). https://doi.org/10.1134/S0081543810050056.

3. A. A. Chikrii and S. D. Eidelman, “Control game problems for quasilinear systems with Riemann–Liouville fractional derivatives,” Cybern. Syst. Analysis, Vol. 37, No. 6, 836–864 (2001). https://doi.org/10.1023/A:1014529914874.

4. Yu. I. Kharkevych and T. V. Zhyhallo, “Approximation of (ψ, β)-differentiable functions defined on the real axis by Abel–Poisson operators,” Ukr. Math. J., Vol. 57, No. 8, 1297–1315 (2005). https://doi.org/10.1007/s11253-005-0262-z.

5. T. V. Zhyhallo and Yu. I. Kharkevych, “On approximation of functions from the class $$ {L}_{\beta, 1}^{\psi } $$ by the Abel–Poisson integrals in the integral metric,” Carpathian Math. Publ., Vol. 14, No. 1, 223–229 (2022). https://doi.org/10.15330/cmp.14.1.223-229.

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