Аннотация:
Рассмотрены пространства линейных комбинаций сдвигов финитного решения одного функционально-дифференциального уравнения. Доказана их асимптотическая экстремальность для приближения классов ˜Wr2 по норме L2.
Библиография: 11 названий.
Образец цитирования:
В. А. Макаричев, “Приближение периодических функций с помощью mups(x)”, Матем. заметки, 93:6 (2013), 878–901; Math. Notes, 93:6 (2013), 858–880
Viktor Makarichev, Vladimir Lukin, Iryna Brysina, Lecture Notes in Networks and Systems, 1008, Integrated Computer Technologies in Mechanical Engineering - 2023, 2024, 553
Anis Zeglaoui, Anouar Ben Mabrouk, Oleg V. Kravchenko, “Wavelet neural networks functional approximation and application”, Int. J. Wavelets Multiresolut Inf. Process., 20:04 (2022)
Viktor Makarichev, Vladimir Lukin, Iryna Brysina, 2022 IEEE 16th International Conference on Advanced Trends in Radioelectronics, Telecommunications and Computer Engineering (TCSET), 2022, 01
Viktor Makarichev, Vladimir Lukin, Iryna Brysina, Lecture Notes in Networks and Systems, 188, Integrated Computer Technologies in Mechanical Engineering - 2020, 2021, 42
Makarichev V.O., Lukin V.V., Brysina V I., Vozel B., Chehdi K., “Atomic Wavelets in Lossy and Near Lossless Image Compression”, Proceedings of Spie, 11533, eds. Bruzzone L., Bovolo F., Santi E., Spie-Int Soc Optical Engineering, 2020, 1153313
Lukin V., Brysina I., Makarichev V., “Discrete Atomic Compression of Digital Images: a Way to Reduce Memory Expenses”, Integrated Computer Technologies in Mechanical Engineering: Synergetic Engineering, Advances in Intelligent Systems and Computing, 1113, eds. Nechyporuk M., Pavlikov V., Kritskiy D., Springer International Publishing Ag, 2020, 492–502
Viktor Makarichev, Vladimir Lukin, Iryna Brysina, 2020 IEEE Ukrainian Microwave Week (UkrMW), 2020, 408
Iryna Victorivna Brysina, Victor Olexandrovych Makarichev, “ATOMIC FUNCTIONS AND THEIR GENERALIZATIONS IN DATA PRO-CESSING: FUNCTION THEORY APPROACH”, reks, 2018, no. 3, 4