I. A. Ikromov, A. R. Safarov, A. T. Absalamov, “On estimates for trigonometric integrals with quadratic phase”, Chebyshevskii Sb., 2024, Volume 25, Issue 1,Pages <nobr>52

On estimates for trigonometric integrals with quadratic phase

I. A. Ikromov^ab, A. R. Safarov^ba, A. T. Absalamov^a

^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)

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.

UDC: 517.518.5

Received: 23.07.2023
Accepted: 21.03.2024

DOI: 10.22405/2226-8383-2024-25-1-52-61