Cesaro Summability of Fourier Series and Its Consequences

  • R. E. Edwards
Part of the Graduate Texts in Mathematics book series (GTM, volume 64)


From 3.2.2 and the fact that the Fejér kernels FN form an approximate identity (see 5.1.1), we infer at once the following basic results about uniform nd mean summability of Fourier series.


Fourier Series Trigonometric Polynomial Trigonometric Series Bernstein Polynomial Approximate Identity 
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Copyright information

© Springer-Verlag New York, Inc. 1979

Authors and Affiliations

  • R. E. Edwards
    • 1
  1. 1.Institute for Advanced StudiesThe Australian National UniversityCanberraAustralia

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