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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On ordered harmonic bounded variation


Author: C. L. Belna
Journal: Proc. Amer. Math. Soc. 80 (1980), 441-444
MSC: Primary 26A45
MathSciNet review: 581000
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Abstract: An example is given of a continuous real function that is of ordered harmonic bounded variation but not of harmonic bounded variation.


References [Enhancements On Off] (What's this?)

  • [1] Daniel Waterman, On convergence of Fourier series of functions of generalized bounded variation, Studia Math. 44 (1972), 107–117. Collection of articles honoring the completion by Antoni Zygmund of 50 years of scientific activity. II. MR 0310525 (46 #9623)
  • [2] -, $ \Lambda $-bounded variation: recent results and unsolved problems, Real Anal. Exchange 4 (1978-79), 69-75.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1980-0581000-5
PII: S 0002-9939(1980)0581000-5
Article copyright: © Copyright 1980 American Mathematical Society