On approximation of functions by algebraic polynomials in Hölder spaces
DOI10.1002/mana.201500204zbMath1355.41005arXiv1602.05036OpenAlexW2962843050MaRDI QIDQ2836145
Jürgen Prestin, Tat'yana V. Lomako, Yurii S. Kolomoitsev
Publication date: 7 December 2016
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.05036
Hölder spacesbest approximationstrong converse inequalitiesDitzian-Totik moduli of smoothnessthe Jacobi translation
Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)
Related Items (1)
Cites Work
- Sharp estimates of approximation of periodic functions in Hölder spaces
- Direct and inverse results in Hölder norms
- An improvement of Kalandiya's theorem
- On approximation of continuous functions in Lipschitz norms
- The modulus of continuity of the remainder in the approximation of Lipschitz functions
- Error estimates in generalized trigonometric Hölder-Zygmund norms
- Polynomial approximation in \(L_ p (O<p<1)\)
- Fractional derivatives and best approximations
- Strong converse inequality for the Bernstein-Durrmeyer operator
- The problem of A. F. Timan on the precise order of decrease of the best approximations
- Moduli of smoothness of higher orders related to the Fourier-Jacobi expansion and the approximation of functions by algebraic polynomials
- The equivalence relations between the Ditzian-Totik moduli of smoothness and best polynomial approximation in the Besov spaces
- A new estimate for Hölder approximation by Bernstein operators
- Moduli of smoothness and \(K\)-functionals in \(L_ p\), \(0<p<1\)
- Positivity and the convolution structure for Jacobi series
- On equivalence of moduli of smoothness of polynomials in \(L_p\), \(0 < p \leqslant \infty\)
- Remarks on Besov Spaces and Best Polynomial Approximation
- Lipschitz spaces with respect to Jacobi translation
- On moduli of smoothness and Fourier multipliers in L p , 0 < p< 1
- Zur Konvergenz der Fourierreihen hölderstetiger Funktionen
- On the Hölder semi-norm of the remainder in polynomial approximation
- Approximation by Bernstein Polynomials
- Simultaneous approximation by Bernstein operators in Hölder norms
- A Convolution Structure for Jacobi Series
- Strong converse inequalities
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