Department of General and Applied Mathematics, Azerbaijan State Oil and Industrial University, Baku, Azerbaijan.
World Journal of Advanced Research and Reviews, 2025, 26(01), 1189-1197
Article DOI: 10.30574/wjarr.2025.26.1.1104
Received on 27 February 2025; revised on 05 April 2025; accepted on 07 April 2025
In solving the problem of determining saturation classes, a number of important results were obtained by P.I. Romanovsky, I.P. Natanson, D.K. Fadeev, B.I. Kornblum, F. Kharshiladze, A. Turetsky, P.L. Butzer, R. Nessel, R.G. Mamedov and others. Using the Fourier transform method, Butzer [1-2], R.G. Mamedov [ 4] and others determined the order and saturation class of various singular integrals and linear operators in the space 
.
The main results obtained in recent years by various authors on the solution of the saturation problem are described in detail in the monographs of R.G. Mamedov [ 4] and Butzer-Berenz [ 3].
In this paper, the order and class of saturation are determined
-singular integrals of general form in the metric of the space 
. The results obtained are applied to determining the order and saturation class of a specific singular integral
Singular Integral; Saturation Class; Spaces; Asymptotics A; Approximations; Kernel; Transformations
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Musayev Ali Mehti. The order of approximation functions of several variables - singular integrals. World Journal of Advanced Research and Reviews, 2025, 26(01), 1189-1197. Article DOI: https://doi.org/10.30574/wjarr.2025.26.1.1104.
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