二维Walsh-Kaczmarz-傅里叶级数的Marcinkiewicz平均强逼近
Strong Approximation by Marcinkiewicz Means of two-dimensional Walsh-Kaczmarz-Fourier Series
摘要：
本文研究二维Walsh-Kaczmarz-傅里叶级数的Marcinkiewicz型指数一致强逼近。特别地，证明了连续函数$f$的二维Walsh-Kaczmarz-傅里叶级数的Marcinkiewicz型在$1/2$幂上对函数$f$是一致强可和的.此外，它被证明是最好的可能结果。
英文摘要：
In this paper we study the exponential uniform strong approximation of Marcinkiewicz type of two-dimensional Walsh-Kaczmarz-Fourier series. In particular, it is proved that the Marcinkiewicz type of two-dimensional Walsh-Kaczmarz-Fourier series of the continuous function $f$ is uniformly strong summable to the function $f$ exponentially in the power $1/2$. Moreover, it is proved that this result is best possible.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
