Ovcharenko, I. E. Some applications of the Chebyshev recursion. (English. Russian original) Zbl 0770.42017 Sov. Math., Dokl. 44, No. 1, 111-115 (1992); translation from Dokl. Akad. Nauk SSSR 319, No. 2, 287-291 (1991). Reviewer: J.Musielak (Poznań) MSC: 42C10 46C05 35Q40 PDFBibTeX XMLCite \textit{I. E. Ovcharenko}, Sov. Math., Dokl. 44, No. 1, 111--115 (1991; Zbl 0770.42017); translation from Dokl. Akad. Nauk SSSR 319, No. 2, 287--291 (1991)
Rustamov, Kh. P. On approximation of functions on a sphere. (English. Russian original) Zbl 0772.41027 Sov. Math., Dokl. 44, No. 2, 635-640 (1992); translation from Dokl. Akad. Nauk SSSR 320, No. 6, 1319-1325 (1991). Reviewer: R.Wegmann (München) MSC: 41A50 PDFBibTeX XMLCite \textit{Kh. P. Rustamov}, Sov. Math., Dokl. 44, No. 2, 635--640 (1991; Zbl 0772.41027); translation from Dokl. Akad. Nauk SSSR 320, No. 6, 1319--1325 (1991)
Rusak, V. N. Sharp orders of best rational approximation of the convolution of a Weyl kernel and a function in \(L_ p\). (English. Russian original) Zbl 0759.41011 Sov. Math., Dokl. 42, No. 3, 789-792 (1991); translation from Dokl. Akad. Nauk SSSR 315, No. 2, 313-316 (1990). Reviewer: J.Karlsson (Göteborg) MSC: 41A20 41A50 41A25 42A10 PDFBibTeX XMLCite \textit{V. N. Rusak}, Sov. Math., Dokl. 42, No. 3, 789--792 (1990; Zbl 0759.41011); translation from Dokl. Akad. Nauk SSSR 315, No. 2, 313--316 (1990)
Trigub, R. M. Multipliers of Fourier series and approximation of functions by polynomials in the spaces C and L. (English. Russian original) Zbl 0708.42005 Sov. Math., Dokl. 39, No. 3, 494-498 (1989); translation from Dokl. Akad. Nauk SSSR 306, No. 2, 292-296 (1989). Reviewer: M.Kinukawa MSC: 42A45 41A10 41A50 PDFBibTeX XMLCite \textit{R. M. Trigub}, Sov. Math., Dokl. 39, No. 3, 494--498 (1989; Zbl 0708.42005); translation from Dokl. Akad. Nauk SSSR 306, No. 2, 292--296 (1989)
Davydov, O. V. Asymptotic behavior of best approximations of individual functions in the classes \(W^ rH_{\omega}\) in the \(L_ p\)-metric. (English. Russian original) Zbl 0704.41017 Sov. Math., Dokl. 39, No. 3, 541-544 (1989); translation from Dokl. Akad. Nauk SSSR 306, No. 4, 777-781 (1989). Reviewer: D.Khavinson MSC: 41A50 41A55 41A15 42A05 41A46 PDFBibTeX XMLCite \textit{O. V. Davydov}, Sov. Math., Dokl. 39, No. 3, 541--544 (1989; Zbl 0704.41017); translation from Dokl. Akad. Nauk SSSR 306, No. 4, 777--781 (1989)
Ganzburg, M. I. On sharp constants for best harmonic approximation of functions of several variables. (English. Russian original) Zbl 0739.41024 Sov. Math., Dokl. 37, No. 1, 142-145 (1988); translation from Dokl. Akad. Nauk SSSR 298, No. 4, 788-791 (1988). Reviewer: H.Fiedler (Ulm) MSC: 41A50 41A63 PDFBibTeX XMLCite \textit{M. I. Ganzburg}, Sov. Math., Dokl. 37, No. 1, 142--145 (1988; Zbl 0739.41024); translation from Dokl. Akad. Nauk SSSR 298, No. 4, 788--791 (1988)
Lizorkin, P. I.; Nikol’skij, S. M. Symmetric averaged differences on the sphere. (English. Russian original) Zbl 0672.41004 Sov. Math., Dokl. 36, No. 2, 251-254 (1988); translation from Dokl. Akad. Nauk SSSR 269, 271-274 (1987). Reviewer: S.M.Shah MSC: 41A10 42A10 33C55 41A50 47B39 PDFBibTeX XMLCite \textit{P. I. Lizorkin} and \textit{S. M. Nikol'skij}, Sov. Math., Dokl. 36, No. 2, 251--254 (1987; Zbl 0672.41004); translation from Dokl. Akad. Nauk SSSR 269, 271--274 (1987)
Rustamov, Kh. P. On direct and inverse theorems on best \(L_ p\)-approximation on the sphere. (English. Russian original) Zbl 0658.41010 Sov. Math., Dokl. 35, No. 3, 583-586 (1987); translation from Dokl. Akad. Nauk SSSR 294, No. 4, 788-791 (1987). Reviewer: D.N.Zarnadze MSC: 41A50 41A27 41A17 PDFBibTeX XMLCite \textit{Kh. P. Rustamov}, Sov. Math., Dokl. 35, No. 3, 583--586 (1987; Zbl 0658.41010); translation from Dokl. Akad. Nauk SSSR 294, No. 4, 788--791 (1987)
Velikin, V. L. Best approximation in a Banach space by a convergent sequence of subspaces of fixed dimension. (English. Russian original) Zbl 0649.41012 Sov. Math., Dokl. 35, No. 3, 483-486 (1987); translation from Dokl. Akad. Nauk SSSR 294, No. 1, 23-26 (1987). Reviewer: S.M.Mazhar MSC: 41A50 41A65 41A15 42A10 PDFBibTeX XMLCite \textit{V. L. Velikin}, Sov. Math., Dokl. 35, No. 3, 483--486 (1987; Zbl 0649.41012); translation from Dokl. Akad. Nauk SSSR 294, No. 1, 23--26 (1987)
Sendov, Bl. On a theorem of H. Whitney. (English. Russian original) Zbl 0636.41015 Sov. Math., Dokl. 34, 603-606 (1987); translation from Dokl. Akad. Nauk SSSR 291, 1296-1300 (1986). Reviewer: A.-I.Lupaş (Sibiu) MSC: 41A50 41A10 41A44 41A17 26A15 PDFBibTeX XMLCite \textit{Bl. Sendov}, Sov. Math., Dokl. 34, 603--606 (1986; Zbl 0636.41015); translation from Dokl. Akad. Nauk SSSR 291, 1296--1300 (1986)
Yarakhmedov, G. Ya. On best uniform approximation of almost everywhere bounded complex-valued functions. (English. Russian original) Zbl 0623.41026 Sov. Math., Dokl. 33, 54-57 (1986); translation from Dokl. Akad. Nauk SSSR 286, 62-65 (1986). Reviewer: S.Aljančić MSC: 41A50 41A63 41A65 PDFBibTeX XMLCite \textit{G. Ya. Yarakhmedov}, Sov. Math., Dokl. 33, 54--57 (1986; Zbl 0623.41026); translation from Dokl. Akad. Nauk SSSR 286, 62--65 (1986)
Ligun, A. A. On sharp constants in inequalities of Jackson type. (English. Russian original) Zbl 0654.41014 Sov. Math., Dokl. 32, 27-30 (1985); translation from Dokl. Akad. Nauk SSSR 283, 34-38 (1985). MSC: 41A17 41A50 41A10 41A29 41A15 PDFBibTeX XMLCite \textit{A. A. Ligun}, Sov. Math., Dokl. 32, 27--30 (1985; Zbl 0654.41014); translation from Dokl. Akad. Nauk SSSR 283, 34--38 (1985)
Prokhorov, V. A. On Chebyshev rational approximations of analytic functions. (English. Russian original) Zbl 0585.30039 Sov. Math., Dokl. 29, 698-700 (1984); translation from Dokl. Akad. Nauk SSSR 276, 1321-1324 (1984). Reviewer: J.Karlsson MSC: 30E10 41A20 41A21 30C15 PDFBibTeX XMLCite \textit{V. A. Prokhorov}, Sov. Math., Dokl. 29, 698--700 (1984; Zbl 0585.30039); translation from Dokl. Akad. Nauk SSSR 276, 1321--1324 (1984)
Kofanov, V. A. Approximation in the mean of classes of differentiable functions by algebraic polynomials. (English. Russian original) Zbl 0521.41003 Sov. Math., Dokl. 25, 224-226 (1982); translation from Dokl. Akad. Nauk SSSR 262, 1304-1306 (1982). MSC: 41A10 41A17 41A50 PDFBibTeX XMLCite \textit{V. A. Kofanov}, Sov. Math., Dokl. 25, 224--226 (1982; Zbl 0521.41003); translation from Dokl. Akad. Nauk SSSR 262, 1304--1306 (1982)
Kolushov, A. V. On differentiability of the operator of best approximation by rational fractions. (English. Russian original) Zbl 0517.41030 Sov. Math., Dokl. 25, 802-805 (1982); translation from Dokl. Akad. Nauk SSSR 264, 1060-1062 (1982). MSC: 41A65 41A50 46G05 58C20 PDFBibTeX XMLCite \textit{A. V. Kolushov}, Sov. Math., Dokl. 25, 802--805 (1982; Zbl 0517.41030); translation from Dokl. Akad. Nauk SSSR 264, 1060--1062 (1982)
Vajnerman, Yu. R. On the approximation of differentiable functions by Lagrange interpolation polynomials with respect to the Tchebycheff nodes. (English. Russian original) Zbl 0537.41002 Sov. Math. Dokl. 24, 529-532 (1981); translation from Dokl. Akad. Nauk SSSR 261, 527-530 (1981). Reviewer: R.B.Saxena MSC: 41A10 41A05 26A15 41A17 41A50 PDFBibTeX XMLCite \textit{Yu. R. Vajnerman}, Sov. Math., Dokl. 24, 529--532 (1981; Zbl 0537.41002); translation from Dokl. Akad. Nauk SSSR 261, 527--530 (1981)
Chakhkiev, M. A. Exponential polynomials deviating least from zero and optimal quadrature formulas. (English. Russian original) Zbl 0532.41036 Sov. Math., Dokl. 24, 443-447 (1981); translation from Dokl. Akad. Nauk SSSR 260, 1309-1312 (1981). Reviewer: M.A.Jimenez MSC: 41A55 41A50 41A25 PDFBibTeX XMLCite \textit{M. A. Chakhkiev}, Sov. Math., Dokl. 24, 443--447 (1981; Zbl 0532.41036); translation from Dokl. Akad. Nauk SSSR 260, 1309--1312 (1981)
Rubinshteĭn, G. Sh. On the Chebyshev rank for problems of uniform approximation in the space of \(N\)-bounded functions. (English. Russian original) Zbl 0527.41024 Sov. Math., Dokl. 23, 600-604 (1981); translation from Dokl. Akad. Nauk SSR 258, 796-800 (1981). MSC: 41A65 41A50 41A10 PDFBibTeX XMLCite \textit{G. Sh. Rubinshteĭn}, Sov. Math., Dokl. 23, 600--604 (1981; Zbl 0527.41024); translation from Dokl. Akad. Nauk SSR 258, 796--800 (1981)
Velikin, V. L. On an asymptotic connection between the approximation of periodic functions by splines and by trigonometric polynomials. (English. Russian original) Zbl 0523.41007 Sov. Math., Dokl. 23, 540-544 (1981); translation from Dokl. Akad. Nauk SSSR 258, 525-529 (1981). MSC: 41A15 41A25 42A10 41A05 41A50 PDFBibTeX XMLCite \textit{V. L. Velikin}, Sov. Math., Dokl. 23, 540--544 (1981; Zbl 0523.41007); translation from Dokl. Akad. Nauk SSSR 258, 525--529 (1981)
Temlyakov, V. N. On the approximation of periodic functions of several variables with bounded mixed difference. (English. Russian original) Zbl 0491.41032 Sov. Math., Dokl. 22, 131-135 (1980); translation from Dokl. Akad. Nauk SSSR 253, 544-548 (1980). MSC: 41A52 41A10 41A25 42B99 41A65 PDFBibTeX XMLCite \textit{V. N. Temlyakov}, Sov. Math., Dokl. 22, 131--135 (1980; Zbl 0491.41032); translation from Dokl. Akad. Nauk SSSR 253, 544--548 (1980)
Doronin, V. G.; Ligun, A. A. On the exact solution of some extremal problems on classes of functions determined by integral moduli of continuity. (English. Russian original) Zbl 0453.41022 Sov. Math., Dokl. 21, 354-356 (1980); translation from Dokl. Akad. Nauk SSSR 251, 16-19 (1980). MSC: 41A55 41A50 42A05 41A52 PDFBibTeX XMLCite \textit{V. G. Doronin} and \textit{A. A. Ligun}, Sov. Math., Dokl. 21, 354--356 (1980; Zbl 0453.41022); translation from Dokl. Akad. Nauk SSSR 251, 16--19 (1980)
Temlyakov, V. N. Approximation of periodic functions of several variables with bounded mixed derivative. (English. Russian original) Zbl 0468.42003 Sov. Math., Dokl. 20, 1032-1035 (1979); translation from Dokl. Akad. Nauk SSSR 248, 527-531 (1979). MSC: 42A10 42A05 42B99 41A17 46E35 41A50 41A63 PDFBibTeX XMLCite \textit{V. N. Temlyakov}, Sov. Math., Dokl. 20, 1032--1035 (1979; Zbl 0468.42003); translation from Dokl. Akad. Nauk SSSR 248, 527--531 (1979)
Pichugov, S. A. On the multidimensional Jackson theorem for linear polynomial approximations. (English. Russian original) Zbl 0427.41007 Sov. Math., Dokl. 20, 353-355 (1979); translation from Dokl. Akad. Nauk SSSR 245, 792-794 (1979). MSC: 41A10 42A05 42A10 41A63 41A50 41A35 PDFBibTeX XMLCite \textit{S. A. Pichugov}, Sov. Math., Dokl. 20, 353--355 (1979; Zbl 0427.41007); translation from Dokl. Akad. Nauk SSSR 245, 792--794 (1979)
Kornejchuk, N. P. Sharp inequalities for best approximation by splines. (English. Russian original) Zbl 0416.41018 Sov. Math., Dokl. 19, 1092-1095 (1978); translation from Dokl. Akad. Nauk SSSR 242, 280-283 (1978). MSC: 41A15 41A50 41A10 PDFBibTeX XMLCite \textit{N. P. Kornejchuk}, Sov. Math., Dokl. 19, 1092--1095 (1978; Zbl 0416.41018); translation from Dokl. Akad. Nauk SSSR 242, 280--283 (1978)
Pokornyj, Yu. V. Distribution of zeros of T-extensions. (English. Russian original) Zbl 0413.34029 Sov. Math., Dokl. 19, 524-528 (1978); translation from Dokl. Akad. Nauk SSSR 239, 1298-1301 (1978). MSC: 34B10 41A10 41A65 41A50 PDFBibTeX XMLCite \textit{Yu. V. Pokornyj}, Sov. Math., Dokl. 19, 524--528 (1978; Zbl 0413.34029); translation from Dokl. Akad. Nauk SSSR 239, 1298--1301 (1978)
Dzhafarov, Arif S. Averaged moduli of continuity and some of their connections with best approximations. (English. Russian original) Zbl 0395.41003 Sov. Math., Dokl. 18(1977), 1205-1209 (1978); translation from Dokl. Akad. Nauk SSSR 236, 288-291 (1977). MSC: 41A10 41A50 26A15 PDFBibTeX XMLCite \textit{A. S. Dzhafarov}, Sov. Math., Dokl. 18, 1205--1209 (1977; Zbl 0395.41003); translation from Dokl. Akad. Nauk SSSR 236, 288--291 (1977)
Krotov, V. G.; Osval’d, P.; Storozhenko, Eh. A. Direct and inverse theorems of Jackson type in \(L^p\) spaces \((0<p<1)\). (English. Russian original) Zbl 0339.41014 Sov. Math., Dokl. 17, 39-42 (1976); translation from Dokl. Akad. Nauk SSSR 226, 44-47 (1976). MSC: 41A50 41A10 42A10 41A25 26A16 42C10 PDFBibTeX XMLCite \textit{V. G. Krotov} et al., Sov. Math., Dokl. 17, 39--42 (1976; Zbl 0339.41014); translation from Dokl. Akad. Nauk SSSR 226, 44--47 (1976)
Ivanov, V. I. Local approximation of periodic functions by linear polynomial methods. (English. Russian original) Zbl 0331.41016 Sov. Math., Dokl. 16, 1238-1240 (1975); translation from Dokl. Akad. Nauk SSSR 224, 523-524 (1975). MSC: 41A25 41A10 41A50 42A10 PDFBibTeX XMLCite \textit{V. I. Ivanov}, Sov. Math., Dokl. 16, 1238--1240 (1975; Zbl 0331.41016); translation from Dokl. Akad. Nauk SSSR 224, 523--524 (1975)
Ryzhakov, I. Yu. An analog for the disk of Zolotarev’s problem. (English. Russian original) Zbl 0302.41013 Sov. Math., Dokl. 15, 882-885 (1974); translation from Dokl. Akad. Nauk SSSR 216, 740-743 (1974). MSC: 41A50 30C10 30E10 PDFBibTeX XMLCite \textit{I. Yu. Ryzhakov}, Sov. Math., Dokl. 15, 882--885 (1974; Zbl 0302.41013); translation from Dokl. Akad. Nauk SSSR 216, 740--743 (1974)
Jarv, E. A. On Zolotarev critical intervals. (English. Russian original) Zbl 0293.41027 Sov. Math., Dokl. 14, 1333-1337 (1973); translation from Dokl. Akad. Nauk SSSR 212, 60-63 (1973). MSC: 41A50 41A10 PDFBibTeX XMLCite \textit{E. A. Jarv}, Sov. Math., Dokl. 14, 1333--1337 (1973; Zbl 0293.41027); translation from Dokl. Akad. Nauk SSSR 212, 60--63 (1973)
Rafal’son, S. Z. On approximation of functions by algebraic polynomials in the L\(_p\) metric. (English. Russian original) Zbl 0291.41006 Sov. Math., Dokl. 14, 137-140 (1973); translation from Dokl. Akad. Nauk SSSR 208, 545-547 (1973). MSC: 41A10 41A50 PDFBibTeX XMLCite \textit{S. Z. Rafal'son}, Sov. Math., Dokl. 14, 137--140 (1973; Zbl 0291.41006); translation from Dokl. Akad. Nauk SSSR 208, 545--547 (1973)
Vaindiner, A. I. Generalized polynomials, deviating least from zero, and effective direct methods for solving boundary-value problems. (English. Russian original) Zbl 0286.41022 Sov. Math., Dokl. 14, 871-876 (1973); translation from Dokl. Akad. Nauk SSSR 210, 1265-1268 (1973). MSC: 41A50 41A10 26C05 65N15 PDFBibTeX XMLCite \textit{A. I. Vaindiner}, Sov. Math., Dokl. 14, 871--876 (1973; Zbl 0286.41022); translation from Dokl. Akad. Nauk SSSR 210, 1265--1268 (1973)
Raicin, R. A. On the best approximation of a class of functions by algebraic polynomials. (English. Russian original) Zbl 0284.41008 Sov. Math., Dokl. 14, 730-733 (1973); translation from Dokl. Akad. Nauk SSSR 210, 274-277 (1973). MSC: 41A50 41A10 PDFBibTeX XMLCite \textit{R. A. Raicin}, Sov. Math., Dokl. 14, 730--733 (1973; Zbl 0284.41008); translation from Dokl. Akad. Nauk SSSR 210, 274--277 (1973)
Voronovskaya, E. V.; Yarv, E. A. Limit properties of critical intervals. (English. Russian original) Zbl 0223.41015 Sov. Math., Dokl. 12, 387-391 (1971); translation from Dokl. Akad. Nauk SSSR 197, 21-24 (1971). MSC: 41A50 41A10 41A25 PDFBibTeX XMLCite \textit{E. V. Voronovskaya} and \textit{E. A. Yarv}, Sov. Math., Dokl. 12, 387--391 (1971; Zbl 0223.41015); translation from Dokl. Akad. Nauk SSSR 197, 21--24 (1971)
Voronovskaya, E. V. The method of functionals as applied to problems of the Zolotarev- Przeborski type. (English. Russian original) Zbl 0221.41020 Sov. Math., Dokl. 11, 1149-1152 (1970); translation from Dokl. Akad. Nauk SSSR 194, 20-23 (1970). MSC: 41A50 41A10 PDFBibTeX XMLCite \textit{E. V. Voronovskaya}, Sov. Math., Dokl. 11, 1149--1152 (1970; Zbl 0221.41020); translation from Dokl. Akad. Nauk SSSR 194, 20--23 (1970)
Vaĭndiner, A. I. Approximation of continuous and differentiable functions of several variables by generalized polynomials (finite linear combinations of functions of fewer variables). (English. Russian original) Zbl 0215.46501 Sov. Math., Dokl. 11, 648-652 (1970); translation from Dokl. Akad. Nauk SSSR 192, 483-486 (1970). Reviewer: Slobodan Aljančić (Beograd) MSC: 41A63 41A50 41A10 41A05 PDFBibTeX XMLCite \textit{A. I. Vaĭndiner}, Sov. Math., Dokl. 11, 648--652 (1970; Zbl 0215.46501); translation from Dokl. Akad. Nauk SSSR 192, 483--486 (1970)
Krivosheev, B. V.; Savin, A. P. On approximation of functions satisfying a Lipschitz condition by algebraic polynomials. (English. Russian original) Zbl 0209.36901 Sov. Math., Dokl. 11, 280-283 (1970); translation from Dokl. Akad. Nauk SSSR 190, 1278-1281 (1970). MSC: 41A10 41A50 PDFBibTeX XMLCite \textit{B. V. Krivosheev} and \textit{A. P. Savin}, Sov. Math., Dokl. 11, 280--283 (1970; Zbl 0209.36901); translation from Dokl. Akad. Nauk SSSR 190, 1278--1281 (1970)
Brudnyĭ, Yu. A. Local best approximation of functions by polynomials. (English. Russian original) Zbl 0132.04902 Sov. Math., Dokl. 6, 483-486 (1965); translation from Dokl. Akad. Nauk SSSR 161, 746-749 (1965). MSC: 41A10 41A50 PDFBibTeX XMLCite \textit{Yu. A. Brudnyĭ}, Sov. Math., Dokl. 6, 483--486 (1965; Zbl 0132.04902); translation from Dokl. Akad. Nauk SSSR 161, 746--749 (1965)