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Chebyshevskii Sbornik, 2024, Volume 25, Issue 1, Pages 52–61
DOI: https://doi.org/10.22405/2226-8383-2024-25-1-52-61 (Mi cheb1402) 		 
On estimates for trigonometric integrals with quadratic phase

I. A. Ikromovab, A. R. Safarovba, A. T. Absalamova

a Samarkand State University (Samarkand, Uzbekistan)
b V. I. Romanovsky Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan (Tashkent, Uzbekistan)
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DOI: https://doi.org/10.22405/2226-8383-2024-25-1-52-61
Abstract: This paper is devoted to the summation problem for trigonometric integrals with quadratic phase. The particular cases of this problem were considered in [2], [3], [4]. We generalize the results of these papers to the multidimensional exponential integrals.
Keywords: trigonometrical integral, exponent, sums, phase, polynomial.
Funding agency Grant number
Academy of Sciences of the Republic of Uzbekistan OT-Ф4-69
Received: 23.07.2023
Accepted: 21.03.2024
Document Type: Article
UDC: 517.518.5
Language: Russian
Citation: I. A. Ikromov, A. R. Safarov, A. T. Absalamov, “On estimates for trigonometric integrals with quadratic phase”, Chebyshevskii Sb., 25:1 (2024), 52–61
Citation in format AMSBIB
\Bibitem{IkrSafAbs24}
\by I.~A.~Ikromov, A.~R.~Safarov, A.~T.~Absalamov
\paper On estimates for trigonometric integrals with quadratic phase
\jour Chebyshevskii Sb.
\yr 2024
\vol 25
\issue 1
\pages 52--61
\mathnet{http://mi.mathnet.ru/cheb1402}
\crossref{https://doi.org/10.22405/2226-8383-2024-25-1-52-61}
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