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Embedding results pertaining to matrix strong approximation by Fourier series

Теоремы вложения связанные с сильной матричной аппроксимацией рядов Фурье

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Abstract

We generalize the result of L. Leindler on the embedding relation between the class W r H ω S , including only odd functions and a set of functions defined via the strong matrix means of Fourier series of odd continuous functions.

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Установлено обобшение одного результата Л. Лейндлера о соотнощении типа теремы вложения между подклассом нечетных функций из класса W r H ω S , с одной стороны, а с другой стороны, множеством нечетных функций, заданным в терминах сильных матричных средних рядов Фурье.

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References

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Authors and Affiliations

  1. Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, 65-516, Zielona Góra, ul. Szafrana 4a, Poland

    Bogdan Szal

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  1. Bogdan Szal
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Correspondence to Bogdan Szal.

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Szal, B. Embedding results pertaining to matrix strong approximation by Fourier series. Anal Math 35, 73–85 (2009). https://doi.org/10.1007/s10476-009-0106-4

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  • DOI: https://doi.org/10.1007/s10476-009-0106-4

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