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We study approximation by rectangular partial sums of double Fourier series on unbounded Vilenkin groups in the spaces C and L1. From these results we obtain criterions of the uniform… Click to show full abstract
We study approximation by rectangular partial sums of double Fourier series on unbounded Vilenkin groups in the spaces C and L1. From these results we obtain criterions of the uniform convergence and L-convergence of double Vilenkin–Fourier series. We also prove that these results are sharp.
Keywords:
unbounded vilenkin;
series;
double fourier;
fourier series;
series unbounded;
convergence
Journal Title: Acta Mathematica Hungarica
Year Published: 2017
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Journal Title: Acta Mathematica Hungarica
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!