UPPER BOUNDS FOR THE RESIDUE OF THE FOURIER TRANSFORM IN L2(R)

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Authors: Tukhliev Kamaridin - Doctor of Physical and Mathematical Sciences, Professor of the Department of Informatics and Computational Mathematics,    Khamdamov Sherali Dzhumabekovich - Candidate of Physical and Mathematical Sciences, Associate Professor of the Department of Informatics and Computational Mathematics, Khujand State University named after academician B.G.Gafurov (Tajikistan Republic, Khujand)

 

JOURNAL NUMBER: 4(67). YEAR OF ISSUE2023.LANGUAGE OF THE ARTICLERussian

 

ANNOTATION

The exact upper bounds of the remainder estimate are found in the article Fourier transforms in the space of square integrable on the whole Axis  functions on some classes Differentiable functions whose structural properties are determined The rate of decrease of the generalized modulus of continuity of the m-th order, defined through the Steklov functions (operator).

 

KEY WORDS

Fourier transform, Steklov operator, generalized modulus of continuity of the m-th order