Journal of Mathematical Sciences

, Volume 184, Issue 3, pp 316–330 | Cite as

Asymptotics of integrals connected with a generalized cantor ladder

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The Cantor ladder is naturally involved into various families of selfsimilar functions. Within the framework of such families, we study the asymptotic behavior of some integrals with parameter. Bibliography: 5 titles.

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References

  1. 1.
    I. A. Sheipak, “On the construction and some properties of self-similar functions in the spaces L p[0, 1]” [in Russian], Mat. Zametki 81, No. 6, 924–938 (2007); English transl.: Math. Notes 81, No. 6, 827-839 (2007).MathSciNetMATHCrossRefGoogle Scholar
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    H. Batman and A. Erdélyi, Higher Transcendental Functions, Vol. I, McGraw-Hill, New York (1953).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2012

Authors and Affiliations

  1. 1.St. Petersburg State UniversitySt. PetersburgRussia

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