On Direct and Converse Theorems in the Theory of Weighted Poynomial Approximation.
Géza Freud (1972)
Mathematische Zeitschrift
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Displaying similar documents to “Weighted polynomial approximation in the complex plane.”
On Direct and Converse Theorems in the Theory of Weighted Poynomial Approximation.
On Approximation in Weighted Sobolev Spaces and Self-Adjointness.
Anders, Maz'ya, V. Carlsson (1994)
Mathematica Scandinavica
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Weighted θ-incomplete pluripotential theory
Muhammed Ali Alan (2010)
Annales Polonici Mathematici
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Weighted pluripotential theory is a rapidly developing area; and Callaghan [Ann. Polon. Math. 90 (2007)] recently introduced θ-incomplete polynomials in ℂ for n>1. In this paper we combine these two theories by defining weighted θ-incomplete pluripotential theory. We define weighted θ-incomplete extremal functions and obtain a Siciak-Zahariuta type equality in terms of θ-incomplete polynomials. Finally we prove that the extremal functions can be recovered using orthonormal polynomials...
Approximation in weighted generalized grand Lebesgue spaces
Daniyal M. Israfilov, Ahmet Testici (2016)
Colloquium Mathematicae
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The direct and inverse problems of approximation theory in the subspace of weighted generalized grand Lebesgue spaces of 2π-periodic functions with the weights satisfying Muckenhoupt's condition are investigated. Appropriate direct and inverse theorems are proved. As a corollary some results on constructive characterization problems in generalized Lipschitz classes are presented.
A comparison of some weighted sieves
G. Greaves (1985)
Banach Center Publications
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Tournament Configuration and Weighted Voting
B. E. Wynne, T. V. Narayana (1981)
Cahiers du Bureau universitaire de recherche opérationnelle Série Recherche
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On a Problem of Best Uniform Approximation and a Polynomial Inequality of Visser
M. A. Qazi (2014)
Bulletin of the Polish Academy of Sciences. Mathematics
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In this paper, a generalization of a result on the uniform best approximation of α cos nx + β sin nx by trigonometric polynomials of degree less than n is considered and its relationship with a well-known polynomial inequality of C. Visser is indicated.
Approximation of Continuous Functions by Monotone Sequences of Polynomials with Restricted Coefficients
S.G. Gal (1988)
Publications de l'Institut Mathématique
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The General Complex Bounded Gase of the Strict Weighted Approximation Problem.
W.H. SUMMERS (1971)
Mathematische Annalen
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A survey on the Weierstrass approximation theorem.
Pérez, Dilcia, Quintana, Yamilet (2008)
Divulgaciones Matemáticas
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Weierstrass' theorem in weighted Sobolev spaces with derivatives: announcement of results.
Portilla, Ana, Quintana, Yamilet, Rodriguez, Jose M., Touris, Eva (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Weighted derivative and differential equations.
Bichegkuev, M.S. (1999)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Bernstein's weighted approximation on still has problems.
Lubinsky, D.S. (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Approximation to functions by trigonometric polynomials
A. Offord (1948)
Fundamenta Mathematicae
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Weighted polynomial approximation, quasianalyticity and analytic continuation.
James E. Brennan (1985)
Journal für die reine und angewandte Mathematik
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Approximation of functions of two variables by some linear positive operators.
Walczak, Z. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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The GRS-condition and symmetry of weighted L¹-algebras
Michael Leinert (2006)
Banach Center Publications
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General Gagliardo Inequality and Applications to Weighted Sobolev Spaces
Antonio Avantaggiati, Paola Loreti (2009)
Bollettino dell'Unione Matematica Italiana
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In this paper we obtain a more general inequality with respect to a well known inequality due to Gagliardo (see [4], [5]). The inequality contained in [4], [5] has been extended to weighted spaces, obtained as cartesian product of measurable spaces. As application, we obtain a first order weighted Sobolev inequality. This generalize a previous result obtained in [2].