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Approximation of Functions and Fourier Multipliers and their applications

Publications

On weighted conditions for the absolute convergence of Fourier integrals

Author(s): Yu. Kolomoitsev, E. Liflyand
Published in: Journal of Mathematical Analysis and Applications, Issue 456/1, 2017, Page(s) 163-176, ISSN 0022-247X
Publisher: Academic Press
DOI: 10.1016/j.jmaa.2017.06.083

Approximation by multivariate Kantorovich–Kotelnikov operators

Author(s): Yu. Kolomoitsev, M. Skopina
Published in: Journal of Mathematical Analysis and Applications, Issue 456/1, 2017, Page(s) 195-213, ISSN 0022-247X
Publisher: Academic Press
DOI: 10.1016/j.jmaa.2017.06.081

On moduli of smoothness and averaged differences of fractional order

Author(s): Yurii Kolomoitsev
Published in: Fractional Calculus and Applied Analysis, Issue 20/4, 2017, ISSN 1311-0454
Publisher: Springer Science + Business Media
DOI: 10.1515/fca-2017-0051

On L p -error of bivariate polynomial interpolation on the square

Author(s): Yurii Kolomoitsev, Tetiana Lomako, Jürgen Prestin
Published in: Journal of Approximation Theory, Issue 229, 2018, Page(s) 13-35, ISSN 0021-9045
Publisher: Academic Press
DOI: 10.1016/j.jat.2018.02.005

Best approximations and moduli of smoothness of functions and their derivatives in L p , 0 < p < 1

Author(s): Yurii Kolomoitsev
Published in: Journal of Approximation Theory, Issue 232, 2018, Page(s) 12-42, ISSN 0021-9045
Publisher: Academic Press
DOI: 10.1016/j.jat.2018.04.012

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