Pokrovskii, A. V. Nonsymmetric approximations in spaces of continuous functions. (English. Russian original) Zbl 1327.41009 Dokl. Math. 73, No. 2, 175-177 (2006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 407, No. 1, 22-24 (2006). MSC: 41A30 PDFBibTeX XMLCite \textit{A. V. Pokrovskii}, Dokl. Math. 73, No. 2, 175--177 (2006; Zbl 1327.41009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 407, No. 1, 22--24 (2006) Full Text: DOI
Tleukhanova, N. T. Interpolation formula for multiplicative transformations of functions of several variables. (English. Russian original) Zbl 1247.41012 Dokl. Math. 67, No. 3, 340-342 (2003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 390, No. 2, 169-171 (2003). MSC: 41A30 PDFBibTeX XMLCite \textit{N. T. Tleukhanova}, Dokl. Math. 67, No. 3, 340--342 (2003; Zbl 1247.41012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 390, No. 2, 169--171 (2003)
Lyakhov, L. N. Weighted Wiener rings and a Tauberian approximation theorem that are generated by the generalized Bessel shift. (English. Russian original) Zbl 1090.41506 Dokl. Math. 64, No. 2, 233-235 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 380, No. 5, 588-590 (2001). MSC: 41A30 42A10 PDFBibTeX XMLCite \textit{L. N. Lyakhov}, Dokl. Math. 64, No. 2, 588--590 (2001; Zbl 1090.41506); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 380, No. 5, 588--590 (2001)
Stepanets, A. I. Approximation of Poisson integrals of continuous functions by Fourier sums. (English. Russian original) Zbl 1095.42502 Dokl. Math. 62, No. 1, 41-43 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 373, No. 2, 171-173 (2000). MSC: 42A10 41A30 PDFBibTeX XMLCite \textit{A. I. Stepanets}, Dokl. Math. 62, No. 1, 171--173 (2000; Zbl 1095.42502); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 373, No. 2, 171--173 (2000)
Trigub, R. M. One-sided and comonotone approximations of smooth functions by algebraic polynomials with positive coefficients. (English. Russian original) Zbl 1071.41018 Dokl. Math. 61, No. 1, 40-42 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 370, No. 2, 168-170 (2000). MSC: 41A30 41A29 PDFBibTeX XMLCite \textit{R. M. Trigub}, Dokl. Math. 61, No. 1, 168--170 (2000; Zbl 1071.41018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 370, No. 2, 168--170 (2000)
Oskolkov, K. I. Ridge approximations and the Kolmogorov-Nikol’skij problem. (English. Russian original) Zbl 1053.41023 Dokl. Math. 60, No. 2, 209-212 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 368, No. 4, 445-448 (1999). Reviewer: Yuri V. Kryakin (MR1748153) MSC: 41A30 42A10 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Dokl. Math. 60, No. 2, 445--448 (1999; Zbl 1053.41023); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 368, No. 4, 445--448 (1999)
Amanzhaev, G. G. On the classification of discrete functions of various smoothness. (English. Russian original) Zbl 1065.41501 Dokl. Math. 59, No. 1, 65-67 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 364, No. 4, 439-441 (1999). MSC: 41A30 PDFBibTeX XMLCite \textit{G. G. Amanzhaev}, Dokl. Math. 59, No. 1, 439--441 (1999; Zbl 1065.41501); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 364, No. 4, 439--441 (1999)
Gilev, S. E.; Gorban’, A. N. Density theorems for semigroups of continuous functions. (English. Russian original) Zbl 1065.41502 Dokl. Math. 58, No. 2, 277-278 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 362, No. 6, 733-734 (1998). MSC: 41A30 46E99 46N40 65D15 PDFBibTeX XMLCite \textit{S. E. Gilev} and \textit{A. N. Gorban'}, Dokl. Math. 58, No. 2, 733--734 (1998; Zbl 1065.41502); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 362, No. 6, 733--734 (1998)
Dubinskij, Yu. A. A problem of the best continuation of a periodic function. (English. Russian original) Zbl 0969.46019 Dokl. Math. 57, No. 3, 334-336 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 360, No. 1, 10-12 (1998). Reviewer: Mihai Gradinaru (Nancy) MSC: 46E15 30E10 46E35 65D15 41A30 PDFBibTeX XMLCite \textit{Yu. A. Dubinskij}, Dokl. Math. 57, No. 3, 10--12 (1998; Zbl 0969.46019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 360, No. 1, 10--12 (1998)
Platonov, S. S. Approximation of functions on noncompact symmetric spaces in the quadratic mean. (English. Russian original) Zbl 1050.41503 Dokl. Math. 57, No. 2, 267-270 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 359, No. 5, 593-596 (1998). MSC: 41A30 PDFBibTeX XMLCite \textit{S. S. Platonov}, Dokl. Math. 57, No. 2, 593--596 (1998; Zbl 1050.41503); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 359, No. 5, 593--596 (1998)
Babenko, V. F.; Polyakov, O. V.; Traktinskaya, V. N. The dimension of the polyhedra of the best \(L_1\)-approximation. (English. Russian original) Zbl 0957.41022 Dokl. Math. 56, No. 3, 891-893 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 357, No. 4, 439-441 (1997). MSC: 41A50 41A30 PDFBibTeX XMLCite \textit{V. F. Babenko} et al., Dokl. Math. 56, No. 3, 439--441 (1997; Zbl 0957.41022); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 357, No. 4, 439--441 (1997)
Lomov, I. S. Approximation of functions on a segment by biorthogonal series that are connected with second-order differential operators. (English. Russian original) Zbl 0913.34073 Dokl. Math. 52, No. 1, 87-90 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 343, No. 5, 599-602 (1995). MSC: 34L30 41A30 42C10 PDFBibTeX XMLCite \textit{I. S. Lomov}, Dokl. Math. 52, No. 1, 87--90 (1995; Zbl 0913.34073); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 343, No. 5, 599--602 (1995)
Zubov, V. I. Bernshtein’s interpolational polynomials. (English. Russian original) Zbl 0879.41007 Dokl. Math. 52, No. 1, 81-83 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 343, No. 5, 593-595 (1995). Reviewer: R.Wegmann (Garching) MSC: 41A30 60E05 PDFBibTeX XMLCite \textit{V. I. Zubov}, Dokl. Math. 52, No. 1, 81--83 (1995; Zbl 0879.41007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 343, No. 5, 593--595 (1995)
Amanzhaev, G. G. Discrete analogs of classes of continuous functions with different smoothness. (English. Russian original) Zbl 0886.26005 Dokl. Math. 51, No. 3, 332-336 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 342, No. 2, 154-158 (1995). Reviewer: C.Badea (Villeneuve d’Ascq) MSC: 26A15 39A12 41A30 PDFBibTeX XMLCite \textit{G. G. Amanzhaev}, Dokl. Math. 51, No. 3, 332--336 (1995; Zbl 0886.26005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 342, No. 2, 154--158 (1995)