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A generalization of quasi-monotone sequences

Published online by Cambridge University Press:  20 January 2009

M. M. Robertson
M. M. Robertson
Affiliation:
Department of Mathematics, University of Surrey, London, S.W.11
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The object of this note is to generalize the notion of quasi-monotony for sequences of real numbers and to prove corresponding generalizations of certain known theorems. First, we recall the definition of quasi-monotony.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 16 , Issue 1 , June 1968 , pp. 37 - 41
Copyright
Copyright © Edinburgh Mathematical Society 1968

References

REFERENCES

(1)Boas, R. P., Quasi-positive sequences and trigonometric series, Proc. London Math. Soc. (3) 14A (1965), 38–46.CrossRefGoogle Scholar
(2)Shah, S. M., A note on quasi-monotone series, Math. Student 15 (1947), 19–24.Google Scholar
(3)Shah, S. M., Trigonometric series with quasi-monotone coefficients. Proc. American Math. Soc. 13 (1962), 266–273.CrossRefGoogle Scholar
(4)Szász, O., Quasi-monotone series, American J. Math. 70 (1948), 203–206.CrossRefGoogle Scholar