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Moscow University Mathematics Bulletin

, Volume 74, Issue 5, pp 175–181 | Cite as

Asymptotic Properties of Coefficients of Orthorecursive Expansions over Indicators of Dyadic Intervals

  • I. S. BaranovaEmail author
Article
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Abstract

Asymptotic properties of the coefficients of orthorecursive expansion over a system of indicators of dyadic intervals associated with local properties of the expanded function are studied. Asymptotic formulas are obtained in the cases of differentiable functions and functions having a discontinuity of the first kind at the point under study.

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Notes

Acknowledgments

The author expresses his gratitude to V. V. Galatenko for formulation of the problem and valuable advice and to T. P. Lukashenko for attention to the work.

References

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Copyright information

© Allerton Press, Inc. 2019

Authors and Affiliations

  1. 1.Faculty of Mechanics and MathematicsMoscow State UniversityMoscowRussia

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