Parfenov, O. G. The Gel’fand and Bernstein \(n\)-widths of some classes of analytic functions. (English. Russian original) Zbl 0907.46017 J. Math. Sci., New York 85, No. 2, 1827-1838 (1997); translation from Zap. Nauchn. Semin. POMI 217, 112-129 (1994). MSC: 46E10 41A46 46B20 47B06 PDFBibTeX XMLCite \textit{O. G. Parfenov}, J. Math. Sci., New York 85, No. 1, 112--129 (1994; Zbl 0907.46017); translation from Zap. Nauchn. Semin. POMI 217, 112--129 (1994) Full Text: DOI EuDML
Hugger, J. Local polynomial interpolation in a rectangle. (English) Zbl 0862.41003 Calcolo 31, No. 3-4, 233-256 (1994). Reviewer: Lu Jian-Ke (Wuhan) MSC: 41A05 41A63 41A46 PDFBibTeX XMLCite \textit{J. Hugger}, Calcolo 31, No. 3--4, 233--256 (1994; Zbl 0862.41003) Full Text: DOI
Romanyuk, A. S. On Kolmogorov widths of classes \(B^ r_{p,\theta}\) of periodic functions of many variables with low smoothness in space \(L_ p\). (English. Russian original) Zbl 0883.42017 Ukr. Math. J. 46, No. 7, 1003-1016 (1994); translation from Ukr. Mat. Zh. 46, No. 7, 915-926 (1994). Reviewer: D.K.Ugulawa (Tbilisi) MSC: 42B99 41A46 46E35 PDFBibTeX XMLCite \textit{A. S. Romanyuk}, Ukr. Mat. Zh. 46, No. 7, 915--926 (1994; Zbl 0883.42017); translation from Ukr. Mat. Zh. 46, No. 7, 915--926 (1994) Full Text: DOI
Parfenov, O. G. Gel’fand widths of certain classes of analytic functions. (English. Russian original) Zbl 0840.46016 Russ. Acad. Sci., Sb., Math. 82, No. 1, 223-229 (1995); translation from Mat. Sb. 185, No. 6, 105-112 (1994). MSC: 46E20 46E22 41A46 PDFBibTeX XMLCite \textit{O. G. Parfenov}, Russ. Acad. Sci., Sb., Math. 82, No. 1, 1 (1994; Zbl 0840.46016); translation from Mat. Sb. 185, No. 6, 105--112 (1994) Full Text: DOI
Shevaldin, V. T. Lower estimates of the widths of classes of functions defined by a modulus of continuity. (English. Russian original) Zbl 0847.41018 Russ. Acad. Sci., Izv., Math. 45, No. 2, 399-415 (1995); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 58, No. 5, 172-188 (1994). Reviewer: W.W.Breckner (Cluj-Napoca) MSC: 41A46 42A10 PDFBibTeX XMLCite \textit{V. T. Shevaldin}, Russ. Acad. Sci., Izv., Math. 45, No. 2, 172--188 (1994; Zbl 0847.41018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 58, No. 5, 172--188 (1994) Full Text: DOI
Osipenko, K. Yu. On \(n\)-widths, optimal quadrature formulas, and optimal recovery of functions analytic in a strip. (English. Russian original) Zbl 0839.41015 Russ. Acad. Sci., Izv., Math. 45, No. 1, 55-78 (1995); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 58, No. 4, 55-79 (1994). Reviewer: W.W.Breckner (Cluj-Napoca) MSC: 41A30 41A46 PDFBibTeX XMLCite \textit{K. Yu. Osipenko}, Russ. Acad. Sci., Izv., Math. 45, No. 1, 55--79 (1994; Zbl 0839.41015); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 58, No. 4, 55--79 (1994) Full Text: DOI
Kashin, B. S.; Temlyakov, V. N. On best \(m\)-term approximations and the entropy of sets in the space \(L^ 1\). (English. Russian original) Zbl 0836.41008 Math. Notes 56, No. 5, 1137-1157 (1994); translation from Mat. Zametki 56, No. 5, 57-86 (1994). Reviewer: L.Leindler (Szeged) MSC: 41A10 41A25 41A46 42B99 PDFBibTeX XMLCite \textit{B. S. Kashin} and \textit{V. N. Temlyakov}, Math. Notes 56, No. 5, 1137--1157 (1994; Zbl 0836.41008); translation from Mat. Zametki 56, No. 5, 57--86 (1994) Full Text: DOI
Parfenov, O. G. Bernstein widths for some classes of analytic functions. (English. Russian original) Zbl 0837.41019 Math. Notes 56, No. 4, 1075-1081 (1994); translation from Mat. Zametki 56, No. 4, 123-131 (1994). Reviewer: N.I.Skiba (Rostov-na-Donu) MSC: 41A46 30D50 30H05 PDFBibTeX XMLCite \textit{O. G. Parfenov}, Math. Notes 56, No. 4, 1075--1081 (1994; Zbl 0837.41019); translation from Mat. Zametki 56, No. 4, 123--131 (1994) Full Text: DOI
Nguyen Thi Thieu Hoa Letter to the editor: Diameters and quadrature formulas on periodic function classes, conjugate to the Sobolev classes. (English. Russian original) Zbl 0845.42002 Math. Notes 56, No. 1, 759 (1994); translation from Mat. Zametki 56, No. 1, 153 (1994). MSC: 42A10 41A46 41A55 41A17 65D32 PDFBibTeX XMLCite \textit{Nguyen Thi Thieu Hoa}, Math. Notes 56, No. 1, 759 (1994; Zbl 0845.42002); translation from Mat. Zametki 56, No. 1, 153 (1994) Full Text: DOI
Farkov, Yu. A. Widths and cowidths of Hardy spaces. (English. Russian original) Zbl 0833.41022 Russ. Math. Surv. 49, No. 1, 231-232 (1994); translation from Usp. Mat. Nauk 49, No. 1(295), 231-232 (1994). Reviewer: D.Khavinson (Fayetteville) MSC: 41A46 PDFBibTeX XMLCite \textit{Yu. A. Farkov}, Russ. Math. Surv. 49, No. 1, 1 (1994; Zbl 0833.41022); translation from Usp. Mat. Nauk 49, No. 1(295), 231--232 (1994) Full Text: DOI
Frontini, M.; Tagliani, A. Maximum entropy in the finite Stieltjes and Hamburger moment problem. (English) Zbl 0830.41020 J. Math. Phys. 35, No. 12, 6748-6756 (1994). Reviewer: W.W.Breckner (Cluj-Napoca) MSC: 41A46 PDFBibTeX XMLCite \textit{M. Frontini} and \textit{A. Tagliani}, J. Math. Phys. 35, No. 12, 6748--6756 (1994; Zbl 0830.41020) Full Text: DOI Link
Xiong, Guijing; Wei, Dan On exchange algorithm for nonlinear best Chebyshev approximation with LGH condition. (English) Zbl 0833.41023 Acta Math. Sci. 14, No. 4, 361-370 (1994). Reviewer: M.Reimer (Dortmund) MSC: 41A50 65D15 41A46 PDFBibTeX XMLCite \textit{G. Xiong} and \textit{D. Wei}, Acta Math. Sci. 14, No. 4, 361--370 (1994; Zbl 0833.41023)
Wilderotter, Klaus Asymptotically optimal estimates of the \(n\)-widths of bounded analytic functions. (English) Zbl 0816.41025 J. Complexity 10, No. 4, 464-473 (1994). Reviewer: G.Plonka (Rostock) MSC: 41A46 30E15 30E20 PDFBibTeX XMLCite \textit{K. Wilderotter}, J. Complexity 10, No. 4, 464--473 (1994; Zbl 0816.41025) Full Text: DOI
Sun, Yongsheng; Wang, Chengyong \(\mu\)-average \(n\)-widths on the Wiener space. (English) Zbl 0815.41022 J. Complexity 10, No. 4, 428-436 (1994). Reviewer: T.D.Narang (Amritsar) MSC: 41A46 PDFBibTeX XMLCite \textit{Y. Sun} and \textit{C. Wang}, J. Complexity 10, No. 4, 428--436 (1994; Zbl 0815.41022) Full Text: DOI
Chen, Dirong On the cardinal spline interpolation corresponding to infinite order differential operators. (English) Zbl 0820.41010 Acta Math. Sin., New Ser. 10, No. 3, 315-324 (1994). Reviewer: Chen Dirong (Beijing) MSC: 41A15 41A46 41A05 PDFBibTeX XMLCite \textit{D. Chen}, Acta Math. Sin., New Ser. 10, No. 3, 315--324 (1994; Zbl 0820.41010) Full Text: DOI
Wang, Chengyong \(\mu\)-average n-widths on the Wiener space. (English) Zbl 0813.41019 Approximation Theory Appl. 10, No. 3, 17-31 (1994). Reviewer: Sun Yongsheng (Beijing) MSC: 41A46 PDFBibTeX XMLCite \textit{C. Wang}, Approximation Theory Appl. 10, No. 3, 17--31 (1994; Zbl 0813.41019)
Khodulev, A. B. On \(\varepsilon\)-entropy of Sobolev and Nikolsky classes in uniform metrics on arbitrary compacts. (English) Zbl 0816.41026 J. Approximation Theory 79, No. 2, 169-179 (1994). Reviewer: T.D.Narang (Amritsar) MSC: 41A46 PDFBibTeX XMLCite \textit{A. B. Khodulev}, J. Approx. Theory 79, No. 2, 169--179 (1994; Zbl 0816.41026) Full Text: DOI
Huang, Zhengda \(n\)-approximation number of integral operator. (Chinese. English summary) Zbl 0812.41025 Acta Math. Sin. 37, No. 3, 338-348 (1994). Reviewer: Sun Yongsheng (Beijing) MSC: 41A46 PDFBibTeX XMLCite \textit{Z. Huang}, Acta Math. Sin. 37, No. 3, 338--348 (1994; Zbl 0812.41025)
Dunham, Charles B.; Zhu, Chang Zhong Best approximation with an integral norm under constraints. (English) Zbl 0820.41022 Congr. Numerantium 99, 255-270 (1994). Reviewer: C.G.Lascarides (Athens) MSC: 41A50 41A29 41A46 41A65 PDFBibTeX XMLCite \textit{C. B. Dunham} and \textit{C. Z. Zhu}, Congr. Numerantium 99, 255--270 (1994; Zbl 0820.41022)
Borwein, Peter; Lewis, Adrian S. Moment-matching and best entropy estimation. (English) Zbl 0813.41018 J. Math. Anal. Appl. 185, No. 3, 596-604 (1994). Reviewer: S.K.Rangarajan (Madras) MSC: 41A46 94A17 PDFBibTeX XMLCite \textit{P. Borwein} and \textit{A. S. Lewis}, J. Math. Anal. Appl. 185, No. 3, 596--604 (1994; Zbl 0813.41018) Full Text: DOI
Fisher, S. D.; Stessin, M. I. Corrigendum to: “The \(n\)-width of the unit ball of \(H^ q\)”. (English) Zbl 0834.41022 J. Approximation Theory 79, No. 1, 167-168 (1994). MSC: 41A46 30E10 PDFBibTeX XMLCite \textit{S. D. Fisher} and \textit{M. I. Stessin}, J. Approx. Theory 79, No. 1, 167--168 (1994; Zbl 0834.41022) Full Text: DOI
Borwein, Jonathan M.; Lewis, Adrian S.; Limber, Mark A. Entropy minimization with lattice bounds. (English) Zbl 0807.41013 J. Approximation Theory 79, No. 1, 1-16 (1994). Reviewer: T.D.Narang (Amritsar) MSC: 41A46 49J35 PDFBibTeX XMLCite \textit{J. M. Borwein} et al., J. Approx. Theory 79, No. 1, 1--16 (1994; Zbl 0807.41013) Full Text: DOI
Wu, Huoxiong Average \(\sigma\)-widths of the unit ball of \(L_ 1^ \infty (\mathbb{R})\) in \(L_ 2^ \infty (\mathbb{R})\). (English) Zbl 0811.41021 Approximation Theory Appl. 10, No. 2, 92-104 (1994). MSC: 41A46 PDFBibTeX XMLCite \textit{H. Wu}, Approximation Theory Appl. 10, No. 2, 92--104 (1994; Zbl 0811.41021)
Triebel, Hans Relations between approximation numbers and entropy numbers. (English) Zbl 0811.47020 J. Approximation Theory 78, No. 1, 112-116 (1994). Reviewer: S.Cobzaş (Cluj-Napoca) MSC: 47B06 46A16 46E35 41A46 41A65 PDFBibTeX XMLCite \textit{H. Triebel}, J. Approx. Theory 78, No. 1, 112--116 (1994; Zbl 0811.47020) Full Text: DOI
Fisher, Stephen D.; Stessin, Michael On \(n\)-widths of classes of holomorphic functions with reproducing kernels. (English) Zbl 0809.41023 Ill. J. Math. 38, No. 4, 589-615 (1994). Reviewer: C.Mustăţa (Cluj-Napoca) MSC: 41A46 41A45 30C40 PDFBibTeX XMLCite \textit{S. D. Fisher} and \textit{M. Stessin}, Ill. J. Math. 38, No. 4, 589--615 (1994; Zbl 0809.41023)
Maiorov, Vitaly Linear widths of function spaces equipped with the Gaussian measure. (English) Zbl 0805.41023 J. Approximation Theory 77, No. 1, 74-88 (1994). Reviewer: K.Najzar (Praha) MSC: 41A46 41A50 41A65 PDFBibTeX XMLCite \textit{V. Maiorov}, J. Approx. Theory 77, No. 1, 74--88 (1994; Zbl 0805.41023) Full Text: DOI
Liu, Yongping Average \(\sigma\)-\(K\) width of convolution function class of \(L_{pq}(\mathbb{R})\) in \(L_ q(\mathbb{R})\). (English) Zbl 0805.41022 Approximation Theory Appl. 10, No. 1, 34-46 (1994). Reviewer: K.Najzar (Praha) MSC: 41A46 PDFBibTeX XMLCite \textit{Y. Liu}, Approximation Theory Appl. 10, No. 1, 34--46 (1994; Zbl 0805.41022)
Rohde, Andrea On the \(\varepsilon\)-entropy of nearly critical values. (English) Zbl 0805.41025 J. Approximation Theory 76, No. 2, 166-176 (1994). Reviewer: W.W.Breckner (Cluj-Napoca) MSC: 41A46 PDFBibTeX XMLCite \textit{A. Rohde}, J. Approx. Theory 76, No. 2, 166--176 (1994; Zbl 0805.41025) Full Text: DOI
Magaril-Il’yaev, G. G. Average widths of Sobolev classes on \(\mathbb{R}^ n\). (English) Zbl 0802.41023 J. Approximation Theory 76, No. 1, 65-76 (1994). Reviewer: S.Cobzaş (Cluj-Napoca) MSC: 41A46 46E30 46E35 PDFBibTeX XMLCite \textit{G. G. Magaril-Il'yaev}, J. Approx. Theory 76, No. 1, 65--76 (1994; Zbl 0802.41023) Full Text: DOI
Parfenov, O. G. Gel’fand and Bernstein diameters of some classes of analytic functions. (Russian. English summary) Zbl 0877.46011 Zap. Nauchn. Semin. POMI 217, 112-129 (1994). MSC: 46E10 41A46 46B20 47B06 PDFBibTeX XMLCite \textit{O. G. Parfenov}, Zap. Nauchn. Semin. POMI 217, 112--129 (1994; Zbl 0877.46011) Full Text: EuDML
Babenko, V. F.; Pichugov, S. A. Approximation of continuous vector functions. (English. Russian original) Zbl 0943.41502 Ukr. Math. J. 46, No. 11, 1585-1599 (1994); translation from Ukr. Mat. Zh. 46, No. 11, 1435-1448 (1994). MSC: 41A65 41A46 PDFBibTeX XMLCite \textit{V. F. Babenko} and \textit{S. A. Pichugov}, Ukr. Math. J. 46, No. 11, 1585--1599 (1994; Zbl 0943.41502); translation from Ukr. Mat. Zh. 46, No. 11, 1435--1448 (1994) Full Text: DOI
Chen, Dirong Average \(n\)-widths of the class of \(W^ rH^ \omega\) of functions defined on the real axis. (Chinese. English summary) Zbl 0882.41016 J. Math. Res. Expo. 14, No. 3, 429-434 (1994). MSC: 41A46 PDFBibTeX XMLCite \textit{D. Chen}, J. Math. Res. Expo. 14, No. 3, 429--434 (1994; Zbl 0882.41016)
Vorob’eva, M. A. On the approximation of functions by Newtonian potentials. (English. Russian original) Zbl 0876.41026 Mosc. Univ. Math. Bull. 49, No. 1, 4-8 (1994); translation from Vestn. Mosk. Univ., Ser. I 1994, No. 1, 6-11 (1994). MSC: 41A46 PDFBibTeX XMLCite \textit{M. A. Vorob'eva}, Mosc. Univ. Math. Bull. 49, No. 1, 4--8 (1994; Zbl 0876.41026); translation from Vestn. Mosk. Univ., Ser. I 1994, No. 1, 6--11 (1994)