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Bernstein and van der Corput-Schaake type inequalities on semialgebraic curves

M. Baran, W. Pleśniak (1997)

Studia Mathematica

We show that in the class of compact, piecewise $C^{1}$ curves K in $ℝ^{n}$ , the semialgebraic curves are exactly those which admit a Bernstein (or a van der Corput-Schaake) type inequality for the derivatives of (the traces of) polynomials on K.

Bernstein's comparison theorem and a problem of Braess.

A. Pinkus (1981)

Aequationes mathematicae

Bernstein's comparison theorem and a problem of Braess. (Short Communication).

A. Pinkus (1981)

Aequationes mathematicae

Bernstein's Constant And Best Approximatioin On [0, ∞)

R. Bojanić, J. M. Elkins (1975)

Publications de l'Institut Mathématique

Bernstein's constant and best approximation on ...0, ...).

R. Bojanic, J.M. Elkins (1974)

Publications de l'Institut Mathématique [Elektronische Ressource]

Best Approximation with Exponential Orders and Intermediate Spaces.

Wolfgang Dahmen, Ernst Görlich (1976)

Mathematische Zeitschrift

Best Constants Occuring with the Modulus of Continuity in the Error Estimate for Spline Interpolants of Odd Degree on Equidistant Grids.

M. Reimer (1984)

Numerische Mathematik

Bleimann, Butzer, and Hahn operators based on the $q$ -integers.

Aral, Ali, Doğru, Ogün (2007)

Journal of Inequalities and Applications [electronic only]

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