基本傅里叶 - 贝塞尔级数在a - 线性网格上的一致收敛性。
Uniform convergence of basic Fourier-Bessel series on a -linear grid.
作者信息
Abreu L D, Álvarez-Nodarse R, Cardoso J L
机构信息
1Acoustics Research Institute, Austrian Academy of Sciences, Vienna, Austria.
2Dep. de Análisis Matemático, Universidad de Sevilla, Sevilla, Spain.
出版信息
Ramanujan J. 2019;49(2):421-449. doi: 10.1007/s11139-018-0070-3. Epub 2018 Sep 20.
Abstract
We study Fourier-Bessel series on a -linear grid, defined as expansions in complete -orthogonal systems constructed with the third Jackson -Bessel function, and obtain sufficient conditions for uniform convergence. The convergence results are illustrated with specific examples of expansions in -Fourier-Bessel series.
摘要
我们研究了线性网格上的傅里叶 - 贝塞尔级数，其定义为用第三类杰克逊 - 贝塞尔函数构建的完备正交系统中的展开式，并得到了一致收敛的充分条件。通过 - 傅里叶 - 贝塞尔级数展开的具体例子来说明收敛结果。
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