Optimal Approximation On Sd

dc.creatorKushpel A.
dc.date2000
dc.date2015-06-30T19:51:44Z
dc.date2015-11-26T14:47:24Z
dc.date2015-06-30T19:51:44Z
dc.date2015-11-26T14:47:24Z
dc.date.accessioned2018-03-28T21:57:49Z
dc.date.available2018-03-28T21:57:49Z
dc.identifier
dc.identifierJournal Of Complexity. , v. 16, n. 2, p. 424 - 458, 2000.
dc.identifier0885064X
dc.identifier10.1006/jcom.2000.0543
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-0011338876&partnerID=40&md5=f466f3904c4763a4c119f2bc65c32dfa
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/107350
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/107350
dc.identifier2-s2.0-0011338876
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1253267
dc.descriptionThe asymptotic behavior of the n-widths of a wide range of sets of smooth functions on a d-dimensional sphere in Lq(Sd) is studied. Upper and lower bounds for the n-widths are established. Moreover, it is shown that these upper and lower bounds coincide for some important concrete examples. © 2000 Academic Press.
dc.description16
dc.description2
dc.description424
dc.description458
dc.descriptionAskey, R., Wainger, S., On the behavior of special classes of ultraspherical expansions I, II (1965) J. Analyse Math., 15, pp. 193-244
dc.descriptionBonami, A., Clerk, J.-L., Sommes de Cesàro et multiplicateurs des développements en harmoniques sphériques (1973) Trans. Amer. Math. Soc., 183, pp. 223-263
dc.descriptionDunford, N., Schwartz, J., (1957) Linear Operators, , New York: Interscience
dc.descriptionForst, W., Über die Breite von Klassen holomorpher periodischer Funktionen (1977) J. Approx. Theory, 19, pp. 325-331
dc.descriptionGluskin, E.D., On some problem about n-widths (1974) Doklady Acad. Nauk. USSR, 219, pp. 527-530
dc.descriptionGluskin, E.D., Norms of random matrices and n-widths of finite dimensional sets (1983) Mat. Sbornik, 120, pp. 180-189
dc.descriptionGluskin, E.D., Extremal properties of orthogonal parallelepipeds and their application to the geometry of Banach spaces (1988) Mat. Sbornik, 136, pp. 85-96
dc.descriptionIsmagilov, R.S., On n-dimensional widths of compacts in Hilbert Space (1968) Funk. Anal. I Ego Prilog., 2, pp. 32-39
dc.descriptionIsmagilov, R.S., N-widths of sets in linear normed spaces and approximation of functions by trigonometric polynomials (1977) Uspekhi Mat. Nauk., 29, pp. 161-178
dc.descriptionKamzolov, A.I., On the best approximation of sets of function Wα p(Sd) by polynomials (1982) Mat. Zametki, 32, pp. 285-293
dc.descriptionKashin, B.S., N-widths of some finite dimensional sets and classes of smooth functions (1977) Izvestiya Acad. Nauk. USSR, 41, pp. 334-351
dc.descriptionKashin, B.S., Some properties of the space of trigonometric polynomials with uniform norm (1980) Trudy. Mat. Inst. Steklov, 145, pp. 111-116
dc.descriptionKashin, B.S., On n-widths of Sobolev's classes of small smoothness (1981) Vestnik MGU, 5, pp. 50-54
dc.descriptionKogbetliantz, E., Recherches sur la sommabilité des séries ultrasphériques par la méthode des moyennes arithmétiques (1924) J. Math., 3, pp. 107-187
dc.descriptionKolmogorov, A.N., Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse (1936) Ann. of Math., 37, pp. 107-110
dc.descriptionKulanin, E.D., Estimates of n-widths of Sobolev's classes with small smoothness (1983) Vestnik MGU, 2, pp. 24-30
dc.descriptionKushpel, A.K., (1987) N-widths of Sets of Smooth Functions in Lq, , Preprint 87.44, Kiev, Inst. of Math, [In Russian]
dc.descriptionKushpel, A.K., N-widths of sets of analytic functions (1989) Ukrain. Math. Zh., 41, pp. 576-579
dc.descriptionKushpel, A.K., (1989) Approximation of Sets of Smooth Functions and N-widths, , Preprint 89.77, Kiev, Inst. of Math, [In Russian]
dc.descriptionKushpel, A.K., Bernstein's n-widths of sets of functions with super small smoothness (1993) Theory of Functions and Their Applications, , Voronezh University, 14
dc.descriptionKushpel, A.K., Inequalities for discrete norms with scattered centers for polynomials on Sd (1998) 47° Seminário Brasileiro de Análise São José Dos Campos, , p. 283-292
dc.descriptionKushpel, A.K., Levesley, J., Wilderotter, K., On the asymptotically optimal rate of approximation of multiplier operators from Lp into Lq (1998) Constructive Approx., 14, pp. 169-186
dc.descriptionMakovoz, J.I., On a method for estimation from below of n-widths of sets in Banach spaces (1972) Mat. Sbornik, 86, pp. 136-142
dc.descriptionMaiorov, V.E., Discretization of problem on n-widths (1975) Uspekhi Mat. Nauk, 30, pp. 179-190
dc.descriptionMarcinkiewicz, J., Sur l'interpolation (1936) Studia Math., 6, pp. 1-17
dc.descriptionMarcinkiewicz, J., Quelques remarques sur l'interpolation (1937) Acta Litt. Acad. Sci. Szeged, 8, pp. 127-130
dc.descriptionMüller, C., (1966) Spherical Harmonics, , Berlin: Springer-Verlag
dc.descriptionMurnaghan, F.D., (1962) The Unitary and Rotation Groups, , Washington: Spartan Books
dc.descriptionPietsch, A., (1979) Operator Ideals, , Berlin: Deutscher Verlag der Wissenschaften
dc.descriptionPinkus, A., (1985) N-Widths in Approximation Theory, , Berlin: Springer-Verlag
dc.descriptionRudin, W., L2-approximation by partial sums of orthogonal developments (1952) Duke Math. J., 19, pp. 1-4
dc.descriptionSobolev, S.L., (1974) Introduction into the Theory of Cubature Formulas, , Moscow: Nauka
dc.descriptionStechkin, S.B., On the best approximation by an arbitrary polynomials (1960) Uspekhi Mat. Nauk, 9, pp. 133-134
dc.descriptionStein, E.M., Weiss, G., (1971) Introduction to Fourier Analysis on Euclidean Spaces, , Princeton: Princeton Univ. Press
dc.descriptionStepanets, A.I., (1987) Classification and Approximation of Periodic Functions, , Kiev: Naukova Dumka
dc.descriptionSzegö, G., (1939) Orthogonal Polynomials, , New York: AMS
dc.descriptionTemlyakov, V.N., On estimates of widths of sets of infinitely differentiable functions (1990) Mat. Zametki, 47, pp. 155-157
dc.descriptionTikhomirov, V.M., N-widths in some functional spaces and approximation theory (1960) Uspekhi Mat. Nauk., 15, pp. 81-120
dc.descriptionTikhomirov, V.M., (1976) Some Problems in Approximation Theory, , Moscow: Nauka
dc.descriptionTikhomirov, V.M., II. Approximation theory (1990) Encyclopaedia of Mathematical Sciences, , New York/London: Springer-Verlag. p. 93-255
dc.descriptionTiman, A.F., (1963) Theory of Approximation of Functions of Real Variable, , New York: Pergamon Press
dc.descriptionVilenkin, N.J., (1965) Special Functions and Theory of Representation of Groups, , Moscow: Nauka
dc.descriptionZygmund, A., (1959) Trigonometric Series, , Cambridge: Cambridge Univ. Press
dc.languageen
dc.publisher
dc.relationJournal of Complexity
dc.rightsfechado
dc.sourceScopus
dc.titleOptimal Approximation On Sd
dc.typeArtículos de revistas


Este ítem pertenece a la siguiente institución