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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.

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On ordered harmonic bounded variation
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by C. L. Belna PDF
Proc. Amer. Math. Soc. 80 (1980), 441-444 Request permission

Abstract:

An example is given of a continuous real function that is of ordered harmonic bounded variation but not of harmonic bounded variation.
References
  • Daniel Waterman, On convergence of Fourier series of functions of generalized bounded variation, Studia Math. 44 (1972), 107–117. MR 310525, DOI 10.4064/sm-44-2-107-117
    • —, $\Lambda$-bounded variation: recent results and unsolved problems, Real Anal. Exchange 4 (1978-79), 69-75.
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 80 (1980), 441-444
  • MSC: Primary 26A45
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0581000-5
  • MathSciNet review: 581000