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On the degree of convergence of Borel and Euler means of trigonometric series. (English) Zbl 0625.42004

The rates of pointwise convergence for Borel and Euler means of Fourier series of \(2\pi\)-periodic functions of bounded variation are estimated. Some analogous estimates concerning the convergence of these means of conjugate series are also presented.

MSC:

42A20 Convergence and absolute convergence of Fourier and trigonometric series
42A50 Conjugate functions, conjugate series, singular integrals