Email this article Bohman Extremal Problem for the Jacobi Transform
- Authors: Gorbachev D.V.1, Ivanov V.I.1
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Affiliations:
- Tula State University
- Issue: Vol 300, No Suppl 1 (2018)
- Pages: 88-96
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175477
- DOI: https://doi.org/10.1134/S0081543818020098
- ID: 175477
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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.
About the authors
D. V. Gorbachev
Tula State University
Author for correspondence.
Email: dvgmail@mail.ru
Russian Federation, Tula, 300600
V. I. Ivanov
Tula State University
Email: dvgmail@mail.ru
Russian Federation, Tula, 300600
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