È. M. Galeev, “Approximation of certain classes of periodic functions of several variables by Fourier sums in the $\widetilde{\mathscr L}_p$ metric”, Russian Math. Surveys, 32:4 (1977)

Citation in format AMSBIB

\Bibitem{Gal77}

\by \`E.~M.~Galeev

\paper Approximation of certain classes of periodic functions of several variables by Fourier sums in the $\widetilde{\mathscr L}_p$ metric

\jour Russian Math. Surveys

\yr 1977

\vol 32

\issue 4

\mathnet{http://mi.mathnet.ru/eng/rm3224}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=473675}

\zmath{https://zbmath.org/?q=an:0357.42005}

This publication is cited in the following 15 articles:

G. A. Akishev, “Otsenki nailuchshikh priblizhenii funktsii klassa Nikolskogo - Besova v prostranstve Lorentsa trigonometricheskimi polinomami”, Tr. IMM UrO RAN, 26, no. 2, 2020, 5–27
A. A. Vasil'eva, “Widths of weighted Sobolev classes on a John domain”, Proc. Steklov Inst. Math., 280 (2013), 91–119
E. M. Galeev, “Poperechniki funktsionalnykh klassov i konechnomernykh mnozhestv”, Vladikavk. matem. zhurn., 13:2 (2011), 3–14
A. A. Vasileva, “Kolmogorovskie poperechniki vesovykh klassov Soboleva na kube”, Tr. IMM UrO RAN, 16, no. 4, 2010, 100–116
A. S. Romanyuk, “Best approximations and widths of classes of periodic functions of several variables”, Sb. Math., 199:2 (2008), 253–275
G. A. Akishev, “O poryadkakh priblizheniya klassov v prostranstvakh Lorentsa”, Sib. elektron. matem. izv., 5 (2008), 51–67
E. M. Skorikov, “The information Kolmogorov width and some exact inequalities between widths”, Izv. Math., 71:3 (2007), 603–627
A. S. Romanyuk, “Bilinear and trigonometric approximations of periodic functions of several variables of Besov classes $B_{p, \theta}^r$ ”, Izv. Math., 70:2 (2006), 277–306
E. M. Skorikov, “Information Kolmogorov width for the intersection of Sobolev classes”, Math. Notes, 80:4 (2006), 602–605
A. S. Romanyuk, “Best $M$ -term trigonometric approximations of Besov classes of periodic functions of several variables”, Izv. Math., 67:2 (2003), 265–302
È. M. Galeev, “Order estimates of smallest norms, with respect to the choice of $N$ harmonics, of derivatives of the Dirichlet and Favard kernels”, Math. USSR-Sb., 72:2 (1992), 567–578
Ðinh Dung, “Approximation by trigonometric polynomials of functions of several variables on the torus”, Math. USSR-Sb., 59:1 (1988), 247–267
È. M. Galeev, “Kolmogorov widths in the space $\widetilde L_q$ of the classes $\widetilde W_p^{\overline\alpha}$ and $\widetilde H_p^{\overline\alpha}$ of periodic functions of several variables”, Math. USSR-Izv., 27:2 (1986), 219–237
È. M. Galeev, “Order estimates of derivatives of the multidimensional periodic Dirichlet $\alpha$ -kernel in a mixed norm”, Math. USSR-Sb., 45:1 (1983), 31–43
È. M. Galeev, “Some estimates for the diameters of the intersection of classes of functions”, Russian Math. Surveys, 37:4 (1982), 115–116