The strong summation of FourierLaplace series in logarithmic subclasses of L2(∑d)defined in terms of moduli of continuity is of interest.In this note,the almost everywhere convergence rates of the Cesaro means for Fo...The strong summation of FourierLaplace series in logarithmic subclasses of L2(∑d)defined in terms of moduli of continuity is of interest.In this note,the almost everywhere convergence rates of the Cesaro means for Fourier-Laplace series of the convex subclasses are obtained.The strong approximation order of the Cesaro means and the partial summation operators are also presented.展开更多
文摘The strong summation of FourierLaplace series in logarithmic subclasses of L2(∑d)defined in terms of moduli of continuity is of interest.In this note,the almost everywhere convergence rates of the Cesaro means for Fourier-Laplace series of the convex subclasses are obtained.The strong approximation order of the Cesaro means and the partial summation operators are also presented.