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Ufimskii Matematicheskii Zhurnal, 2010, Volume 2, Issue 3, Pages 31–38 (Mi ufa60)  

This article is cited in 2 scientific papers (total in 2 papers)

Three equivalent hypotheses on estimation of integrals

R. A. Baladai, B. N. Khabibullin

Bashkir State University, Ufa, Russia
Full-text PDF (427 kB) Citations (2)
References:
Abstract: We offer a hypothesis on precise estimation of a definite improper integral depending on a parameter λ(0,+) by means of a given estimation of another definite integral depending on parameters t[0,+) and λ. This precise estimation is proved for λ1. Besides, an exact estimation is obtained for λ>1. The later estimation does not seem to be exact. We give two more hypotheses that are equivalent to the original one. Our conjectures originated from extreme problems for entire, meromorphic, and plurisubharmonic functions of several variables.
Keywords: improper integral, estimate, inequality, entire function, meromorphic function, plurisubharmonic function, Paley problem.
Received: 15.06.2010
Bibliographic databases:
Document Type: Article
UDC: 517.16+517.574+517.555
Language: Russian
Citation: R. A. Baladai, B. N. Khabibullin, “Three equivalent hypotheses on estimation of integrals”, Ufa Math. J., 2:3 (2010)
Citation in format AMSBIB
\Bibitem{BalKha10}
\by R.~A.~Baladai, B.~N.~Khabibullin
\paper Three equivalent hypotheses on estimation of integrals
\jour Ufa Math. J.
\yr 2010
\vol 2
\issue 3
\mathnet{http://mi.mathnet.ru/eng/ufa60}
\zmath{https://zbmath.org/?q=an:1240.32033}
\elib{https://elibrary.ru/item.asp?id=15240753}
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  • https://www.mathnet.ru/eng/ufa60
  • https://www.mathnet.ru/eng/ufa/v2/i3/p31
  • This publication is cited in the following 2 articles:
    1. Ufa Math. J., 10:3 (2018), 117–130  mathnet  crossref  isi
    2. J. Math. Sci. (N. Y.), 243:6 (2019), 825–834  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:560
    Full-text PDF :192
    References:102
    First page:2
     
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