On a property of moduli of smoothness with Jacobi weights
Abstract
UDC 517.5
We prove a generalization of an important inequality for moduli of smoоthness with Jacobi weights.
References
K. A. Kopotun, D. Leviatan, I. A. Shevchuk, On moduli of smoothness with Jacobi weights, Укр. мат. журн., 70, № 3, 379 – 403 (2018). DOI: https://doi.org/10.1007/s11253-018-1509-9
K. A. Kopotun, D. Leviatan, I. A. Shevchuk, New moduli of smoothness: weighted DT moduli revisited and applied, Constr. Approxim., 42, 129 – 159 (2015), https://doi.org/10.1007/s00365-014-9270-2 DOI: https://doi.org/10.1007/s00365-014-9270-2
Z. Ditzian, V. Totik, Moduli of smoothness, Springer Ser. Comput. Math., 9, Springer (1987), https://doi.org/10.1007/978-1-4612-4778-4 DOI: https://doi.org/10.1007/978-1-4612-4778-4
K. I. Babenko, Osnovy chislennogo analiza, Nauka, Moskva(1986).
Copyright (c) 2022 Andriy Chaikovs'kyi, Олексій Нестеренко, Ірина Петрова
This work is licensed under a Creative Commons Attribution 4.0 International License.