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Topolewska, Maria
On the degree of convergence of Borel and Euler means for double Fourier series of functions of bounded variation in Hardy sense. (English). Mathematica Bohemica, vol. 120 (1995), issue 1, pp. 1-12
MSC: 42A20, 42B05, 42B08 | MR 1336942 | Zbl 0849.42009 | DOI: 10.21136/MB.1995.125893
Keywords:
rate of convergence; bounded variation; rectangular partial sums; double Fourier series; double trigonometric series; Borel means; Euler means
Summary:
For real functions of bounded variation in the Hardy sense, $2\pi$-periodic in each variable, the rates of pointwise convergence of the Borel and Euler means of their Fourier series are estimated.
References:
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[7] M. Topolewska: On the degree of convergence of Borel and Euler means of trigonometric series. Časopis pro pěstování matematiky 112(3) (1987), 225-232. MR 0905967 | Zbl 0625.42004
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