étude du cas Jacobi s'est avérée plus compliquée que celle d'Hermite et ,
plus cette propriété où les hyperplans H m pour un |m| fixé passent par la même variété (point pour N = 2) Donc on n'a pu donner des inégalités que pour p ? Q r . Leur intérêt est très limité, car on ne sait pas quels sont les points qui ,
Landau-Kolmogorov type inequalities for the Hermite and closely connected measures ,
Markov???Bernstein and Landau???Kolmogorov type inequalities in several variables for the Hermite and closely connected measures, Journal of Approximation Theory, vol.187 ,
DOI : 10.1016/j.jat.2014.08.002
Landau-Kolmogorov type inequalities in several variables for the Jacobi measure ,
Handbook of mathematical functions with formulas, graphs, and mathematical tables, U.S. Government Printing Office, 1972. ,
Milovanovi? One characterization of classical orthogonal polynomials, pp.1-4, 1991. ,
Extremal problems, inequalities, and classical orthogonal polynomials, Applied Mathematics and Computation, vol.128, issue.2-3, pp.151-166, 2002. ,
DOI : 10.1016/S0096-3003(01)00070-4
Landau and Kolmogoroff type polynomial inequalities, Journal of Inequalities and Applications, vol.1999, issue.4, pp.327-338, 1999. ,
DOI : 10.1155/S1025583499000430
URL : http://doi.org/10.1155/s1025583499000430
Sur l'ordre de la meilleure approximation des fonctions continues par des polynômes de degré donné, Mém. Acad. Roy. Belgique, issue.2, pp.4-5, 1912. ,
An extension of the Landau-Kolmogorov inequality. Solution of a problem of Erd??s, Journal d'Analyse Math??matique, vol.5, issue.3, pp.263-280, 1999. ,
DOI : 10.1007/BF02791137
On a polynomial inequality of Kolmogoroff's type, Proc. Amer, pp.491-496, 1996. ,
An Introduction to Orthogonal Polynomials, Gordon and Breach, 1978. ,
Improvement of the formal and numerical estimation of the constant in some Markov-Bernstein inequalities, Numerical Algorithms, vol.24, issue.1/2, pp.31-58, 2000. ,
DOI : 10.1023/A:1019132924372
Hermite-Sobolev and closely connected orthogonal polynomials, Journal of Computational and Applied Mathematics, vol.81, issue.1, pp.165-179, 1997. ,
DOI : 10.1016/S0377-0427(97)00038-1
URL : http://doi.org/10.1016/s0377-0427(97)00038-1
On the positivity of some bilinear functionals in Sobolev spaces, Journal of Computational and Applied Mathematics, vol.106, issue.2, pp.203-243, 1999. ,
DOI : 10.1016/S0377-0427(99)00063-1
Markov-Bernstein inequalities for generalized Hermite weight, East Journal on Approximations, pp.1-23, 2006. ,
Analyse mathématique et calcul numérique pour les sciences et les techniques, Méthodes variationnelles, 1988. ,
New Inequalities of Markov Type, SIAM Journal on Mathematical Analysis, vol.18, issue.2, pp.490-494, 1987. ,
DOI : 10.1137/0518039
Orthogonal polynomials of several variables, Encyclopedia of Mathematics and its applications, 2001. ,
In??galit?? de Markov dans les ensembles effil??s, Journal of Approximation Theory, vol.30, issue.2, 1980. ,
DOI : 10.1016/0021-9045(80)90016-7
URL : http://doi.org/10.1016/0021-9045(80)90016-7
Weighted L2-Analogs of Bernstein???s Inequality and Classical Orthogonal Polynomials, Journal of Mathematical Analysis and Applications, vol.182, issue.1, pp.244-249, 1994. ,
DOI : 10.1006/jmaa.1994.1078
Derivative functionals of an algebraic polynomial and V. A. Markov's theore, Izv. Akad. Nauk SSSR, Ser. Math, vol.25, pp.371-384, 1961. ,
Sur le module maximum d'une fonction et ses dérivées, C. R. Acad. Sci. Paris, vol.41, pp.68-72, 1914. ,
On inequalities between upper bounds of the successive derivatives of an arbitrary function on an infinite interval, Uchen. Zap. Moskov. Gos. Univ. Mat, vol.30, pp.3-16, 1939. ,
On inequalities between upper bounds of the successive derivatives of an arbitary function on an infinite interval, Amer. Soc. Transl. Ser, pp.1-2, 1962. ,
Kolmogorov estimates for derivatives, Proc. Steklov Inst, pp.101-125, 1975. ,
On bounded polynomials in several variables, Mathematische Zeitschrift, vol.27, issue.1, pp.55-65, 1927. ,
DOI : 10.1007/BF01171085
On Bernstein???Markov-type inequalities for multivariate polynomials in <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msub></mml:math>-norm, Journal of Approximation Theory, vol.159, issue.1, pp.85-96, 2009. ,
DOI : 10.1016/j.jat.2008.10.006
On the exact <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math> Markov inequality on some unbounded domains in <mml:math altimg="si2.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msup></mml:math>, Journal of Approximation Theory, vol.164, issue.3, pp.391-405, 2012. ,
DOI : 10.1016/j.jat.2011.11.005
Einige Ungleichungen für zweimal differenzierbare Funktionen, Proc. London Math. Soc, issue.2, pp.13-43, 1913. ,
On inequalities between the powers of a linear operator, Izv. Akad. Nauk SSSR Ser. Mat, vol.24, pp.825-864, 1960. ,
On inequalities between the powers of a linear operator, Aner, Math. Soc. Transl, vol.40, issue.2, pp.39-84, 1964. ,
Orthogonal polynomials on Sobolev spaces: old and new directions, Journal of Computational and Applied Mathematics, vol.48, issue.1-2, pp.113-131, 1993. ,
DOI : 10.1016/0377-0427(93)90318-6
On a problem of D.I. Mendeleev, Zap. Imp. Akad. Nauk., St. Petersbourg, vol.62, pp.1889-1890 ,
On functions deviating least from zero in a given interval, Izdat. Imp. Akad. Nauk., St. Petersbourg, 1892. ,
???ber Polynome, die in einem gegebenen Intervalle m???glichst wenig von Null abweichen, Mathematische Annalen, vol.77, issue.2, pp.213-258, 1916. ,
DOI : 10.1007/BF01456902
Prol??gom??nes ?? l'??tude des polyn??mes orthogonaux semi-classiques, Annali di Matematica Pura ed Applicata, vol.301, issue.2, pp.165-184, 1987. ,
DOI : 10.1007/BF01773932
Investigation of aqueous solutions based on specific gravity, St. Petersbourg, 1987. ,
Topics in polynomials : extremal problems, inequalities, zeros, 1994. ,
DOI : 10.1142/1284
A generalization of an inequality of V. Markov to multivariate polynomials, Journal of Approximation Theory, vol.35, issue.1, pp.94-97, 1982. ,
DOI : 10.1016/0021-9045(82)90108-3
Polynômes orthogonaux dont les polynômes dérivés sont quasiorthogonaux, C. R. Acad. Sc. Paris, t, pp.289-433, 1979. ,
??ber die nebst ihren Ableitungen orthogonalen Polynomensysteme und das zugeh??rige Extremum, Mathematische Annalen, vol.119, issue.2, pp.165-204, 1944. ,
DOI : 10.1007/BF01563739
Solution of Landau's problem concerning higher derivatives on the half line, Proc. of the Intern Conference of constructive function theory, pp.297-308, 1972. ,
Twelve Proofs of the Markov Inequality, APPROXIMATION THEORY : A volume dedicated to Borislav Bojanov, pp.233-299, 2004. ,
Asymptotic L 2 Inequalities of Markoff Type, 1964. ,
On inequalities between derivatives, Sb. Rabot Stud, Nauch. Kruzhkov MGU, vol.1, pp.17-27, 1937. ,
On mechanical quadratures, in particular, with positive coefficients, Transactions of the American Mathematical Society, vol.42, issue.3, p.461, 1937. ,
DOI : 10.1090/S0002-9947-1937-1501930-6
Functions of Exponential Type, The Annals of Mathematics, vol.65, issue.3, pp.65-582, 1957. ,
DOI : 10.2307/1970066
A new characterization of Hermite polynomials, Acta Mathematica Hungarica, vol.10, issue.2, pp.169-172, 1987. ,
DOI : 10.1007/BF01956321
A Markov inequality in several dimensions, Journal of Approximation Theory, vol.11, issue.3, pp.216-220, 1974. ,
DOI : 10.1016/0021-9045(74)90012-4