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On the rate of pointwise strong summability of orthogonal expansions

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Abstract

There is introduced a modificated local modulus of continuity as a measure of pointwise strong summability of expansion with respect to polynomial-like orthonormal system. The approximation versions and generalizations of the some special cases of the known results of K. Tandori [6], [7] and G. Freud [4] are obtained.

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References

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Authors and Affiliations

  1. Faculty of Mathematics Computer Science and Econometrics, University of Zielona Góra, ul. Szafrana 4a, 65-516, Zielona Góra, Poland

    Włodzimierz Łenski & Radosława Kranz

Authors
  1. Włodzimierz Łenski
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  2. Radosława Kranz
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Łenski, W., Kranz, R. On the rate of pointwise strong summability of orthogonal expansions. Rend. Circ. Mat. Palermo 56, 273–286 (2007). https://doi.org/10.1007/BF03031445

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  • DOI: https://doi.org/10.1007/BF03031445

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