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Funktsional'nyi Analiz i ego Prilozheniya, 2015, Volume 49, Issue 4, Pages 76–78
DOI: https://doi.org/10.4213/faa3212 (Mi faa3212) 		 
This article is cited in 2 scientific papers (total in 3 papers)

Brief communications

Inequalities for Positive-Definite Functions

E. A. Gorin
Full-text PDF (84 kB) Citations (3)
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DOI: https://doi.org/10.4213/faa3212
Abstract: Generalizations of the classical inequality |f(x)−f(y)|2⩽2f(0){f(0)−Ref(x−y)} for a positive-definite complex-valued function f on an Abelian group are obtained.
Keywords: positive-definite function on an Abelian group, Bochner's theorem.
Received: 27.07.2015
English version:
Functional Analysis and Its Applications, 2015, Volume 49, Issue 4, Pages 301–303
DOI: https://doi.org/10.1007/s10688-015-0118-8
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: E. A. Gorin, “Inequalities for Positive-Definite Functions”, Funktsional. Anal. i Prilozhen., 49:4 (2015), 76–78; Funct. Anal. Appl., 49:4 (2015), 301–303
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/faa3212
  • https://doi.org/10.4213/faa3212
  • https://www.mathnet.ru/eng/faa/v49/i4/p76
    • This publication is cited in the following 3 articles:
    1. V. P. Zastavnyi, “Inequalities for Positive Definite Functions”, Math. Notes, 108:6 (2020), 791–801  mathnet  crossref  crossref  mathscinet  isi  elib
    2. A. B. Pevnyi, S. M. Sitnik, “Obobscheniya neravenstv M. G. Kreina, E. A. Gorina i Yu. V. Linnika dlya polozhitelno opredelennykh funktsii na mnogotochechnyi sluchai”, Sib. elektron. matem. izv., 16 (2019), 263–270  mathnet  crossref
    3. Yu. A. Brudnyi, M. G. Zaidenberg, A. L. Koldobskii, V. Ya. Lin, B. S. Mityagin, S. Norvidas, E. M. Semenov, P. V. Semenov, “Evgenii Alekseevich Gorin (obituary)”, Russian Math. Surveys, 74:5 (2019), 935–946  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    Full-text PDF :207
    References:72
    First page:50
     
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