Abstract
Under study is the integral inequality that has as kernel a nonnegative polynomial in the powers of the difference of arguments and a large parameter N. We establish some inequality whose form agrees with the celebrated Gronwall-Bellman inequality in which the argument of the exponent depends linearly on N.
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References
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Russian Text © The Author(s), 2020, published in Sibirskii Matematicheskii Zhurnal, 2020, Vol. 61, No. 3, pp. 674–680.
The author was supported by the Mathematical Center in Akademgorodok under Agreement No. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation.
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Romanov, V.G. A Generalized Gronwall-Bellman Inequality. Sib Math J 61, 532–537 (2020). https://doi.org/10.1134/S0037446620030155
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DOI: https://doi.org/10.1134/S0037446620030155