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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 10, Pages 15–25 (Mi ivm9286)  
This article is cited in 2 scientific papers (total in 2 papers)

From the integral estimates of functions to uniform and locally averaged

R. A. Baladai, B. N. Khabibullin

Bashkir State University, 32 Z. Validi str., Ufa, 450076 Russia
Full-text PDF (239 kB) Citations (2)
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Abstract: Problems of pointwise estimates from above of a function or its averages often arise in the function theory under known integral restrictions on the growth of this function. We offer an approach to such problems based on the integral Jensen inequality with the convex function.
Keywords: holomorphic function, average value, convex function, (pluri-)subharmonic function, $\overline\partial$-problem, integral Jensen's inequality, measure space.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00024_a
Received: 16.05.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 10, Pages 11–20
DOI: https://doi.org/10.3103/S1066369X17100036
Bibliographic databases:
Document Type: Article
UDC: 517.552
Language: Russian
Citation: R. A. Baladai, B. N. Khabibullin, “From the integral estimates of functions to uniform and locally averaged”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 10, 15–25; Russian Math. (Iz. VUZ), 61:10 (2017), 11–20
Citation in format AMSBIB
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\pages 15--25
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\issue 10
\pages 11--20
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  • https://www.mathnet.ru/eng/ivm/y2017/i10/p15
    Cycle of papers
    This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :60
    References:35
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