We study Fourier–Bessel series on a q-linear grid, defined as expansions in complete q-orthogonal systems constructed with the third Jackson q-Bessel function, and obtain sufficient conditions for uniform convergence. The convergence results are illustrated with specific examples of expansions in q-Fourier–Bessel series.

中文翻译：

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q 线性网格上基本傅里叶-贝塞尔级数的均匀收敛。


我们研究q线性网格上的傅立叶-贝塞尔级数，定义为用第三个 Jackson q -Bessel 函数构造的完整q正交系统的展开，并获得一致收敛的充分条件。收敛结果通过q-傅里叶-贝塞尔级数展开的具体例子来说明。