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An Algorithm for Constructing the Fourier Transform of the Function $$\mathop V\limits^{ \leftharpoondown \rightharpoondown } {{{\kern 1pt} }_{m}}(x)$$ to Determine a Discrete Analog of a Differential Operator

Ikrom I. JalolovTashkent State Transport University, 100167, Tashkent, Republic of UzbekistanO. I. JalolovBukhara State University, 200118, Bukhara, Republic of Uzbekistan
Russian Mathematicsjournal2024en
ABI

Abstract

This paper considers the problem of constructing the Fourier transform of a harrow-shaped function to determine a discrete analog of the differential operator, which is used in constructing optimal quadrature formulas in Hörmander space. In addition, the problem of constructing a discrete analog of a specific operator in a particular case is considered.

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