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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On the integral moduli of continuity in $L_{p} (1<p<\infty )$ of Fourier series with monotone coefficients
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by S. Aljančić PDF
Proc. Amer. Math. Soc. 17 (1966), 287-294 Request permission
References
  • S. Aljančić and M. Tomić, Über den Stetigkeitsmodul von Fourier-Reihen mit monotonen Koeffizienten, Math. Z. 88 (1965), 274–284 (German). MR 178297, DOI 10.1007/BF01111686
  • G. H. Hardy and J. E. Littlewood, Some properties of fractional integrals. I, Math. Z. 27 (1928), no. 1, 565–606. MR 1544927, DOI 10.1007/BF01171116
  • G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, Cambridge Univ. Press, New York, 1934.
  • A. A. Konyuškov, Best approximations by trigonometric polynomials and Fourier coefficients, Mat. Sb. N.S. 44(86) (1958), 53–84 (Russian). MR 0096074
  • A. F. Timan, Theory of approximation of functions of a real variable, A Pergamon Press Book, The Macmillan Company, New York, 1963. Translated from the Russian by J. Berry; English translation edited and editorial preface by J. Cossar. MR 0192238
  • A. F. Timan and M. F. Timan, Generalized modulus of continuity and best approximation in the mean, Doklady Akad. Nauk SSSR (N.S.) 71 (1950), 17–20 (Russian). MR 0034867
  • A. Zygmund, A remark on the integral modulus of continuity, Univ. Nac. Tucumán. Revista A. 7 (1950), 259–269. MR 0042479
  • —, Trigonometric series, 2nd ed., Cambridge Univ. Press, New York, 1959.
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Additional Information
  • © Copyright 1966 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 17 (1966), 287-294
  • MSC: Primary 42.10
  • DOI: https://doi.org/10.1090/S0002-9939-1966-0188694-X
  • MathSciNet review: 0188694