WEIERSTRASS' THEOREM IN THE TWENTIETH CENTURY: A SELECTION
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Publication:4843412
DOI10.1080/16073606.1995.9631789zbMath0824.41005OpenAlexW2077798835MaRDI QIDQ4843412
Publication date: 13 August 1995
Published in: Quaestiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/16073606.1995.9631789
Approximation in the complex plane (30E10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)
Related Items (5)
Weierstrass's theorem in weighted Sobolev spaces with \(k\) derivatives ⋮ Weierstrass' theorem in weighted Sobolev spaces ⋮ On mean convergence of Hermite-Fejér and Hermite interpolation for Erdős weights ⋮ Weighted Weierstrass' theorem with first derivatives ⋮ Weierstrass' theorem with weights
Cites Work
- A general approach to approximation problems of the Bernstein type
- A short proof of Müntz's theorem
- Markov's inequality and the existence of an extension operator for \(C^{\infty}\) functions
- A Müntz space having no complement
- Weighted polynomial inequalities
- Géza Freud, orthogonal polynomials and Christoffel functions. A case study
- Polynomial approximation with exponential weights
- \(L_ p\) Markov-Bernstein inequalities for Erdős weights
- Generalizations of the Christoffel-Darboux identity for adjacent families of orthogonal polynomials
- Best weighted polynomial approximation on the real line; a functional- analytic approach
- Multivariate Bernstein and Markov inequalities
- Strong asymptotics for extremal polynomials associated with weights on \({\mathbb{R}}\)
- An update on orthogonal polynomials and weighted approximation on the real line
- Bernstein inequalities in \({L_ p}\), \(0\leq p\leq+\infty\)
- Asymptotics for orthogonal polynomials
- $L_\infty $ Markov and Bernstein Inequalities for Freud Weights
- Bernstein and Markov Type Inequalities for Generalized Non-Negative Polynomials
- Muntz-Jackson Theorems in All L p Spaces with Unrestricted Exponents
- On the Rate of Approximation by Polynomials with Complex Exponents
- RELATIVE ASYMPTOTICS FOR POLYNOMIALS ORTHOGONAL ON THE REAL AXIS
- On the weighted approximation of continuous functions by polynomials on the entire number axis
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