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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 4, Pages 126–135
DOI: https://doi.org/10.21538/0134-4889-2016-22-4-126-135 (Mi timm1360) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Bohman extremal problem for the Jacobi transform

D. V. Gorbachev, V. I. Ivanov

Tula State University
Full-text PDF (194 kB) Citations (3)
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DOI: https://doi.org/10.21538/0134-4889-2016-22-4-126-135
Abstract: We give a solution to the Bohman extremal problem for nonnegative even entire functions of exponential type that are Jacobi transforms of compactly supported functions. We prove that the extremal function is unique. The Gauss quadrature formula on the half-line over zeros of the Jacobi function is used.
Keywords: hyperbolic weight, Jacobi function, Jacobi transform, Bohman extremal problem, Gauss quadrature formulae.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00308
Ministry of Education and Science of the Russian Federation 5414ГЗ
1.1333.2014К
Received: 30.07.2016
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2018, Volume 300, Issue 1, Pages 88–96
DOI: https://doi.org/10.1134/S0081543818020098
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: 33C45, 42A05, 41A55
Language: Russian
Citation: D. V. Gorbachev, V. I. Ivanov, “Bohman extremal problem for the Jacobi transform”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 4, 2016, 126–135; Proc. Steklov Inst. Math. (Suppl.), 300, suppl. 1 (2018), 88–96
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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