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In this paper we investigate the researching state, the developing situation and the prospect for the summability , the strong summability and their relevant approximating oder , strong approximating oder of Cesdro mean - an important linear summation process of the Fourier - Laplace series of functions on sphere.

本文研究了球面上的函数用其Fourier—Laplace级数的一种重要的线性求和法-Cesaro平均来求 和与强求和及其相应的逼近与强逼近的阶的研究状况、发展态势和前景展望等。

The saturationproblem of an operator sequence of a kind of strong summability is discussed.

研究了Ｆｏｕｒｉｅｒ－Ｌａｐｌａｃｅ级数的临界阶Ｃｅｓａｒｏ平均的强求和，给出了强性一致逼进度的估计，并且讨论了一类强求和算子列的饱和性问题。

The LP approximation by strong summability of Fourier-Laplace series of a function defined on unit sphere is discussed.

本文讨论了球面函数的Fourier—Laplace级数的强求和在LP尺度下的逼近问题，其结果是球面上强求和的某些已有结果的补充，也可以看成一元或多元Fourier级数相应结果的球面类比。