Approximation of functions by polynomials with various constraints
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Publication:736263
DOI10.3103/S1068362309040049zbMath1177.41004OpenAlexW2091854508MaRDI QIDQ736263
Publication date: 27 October 2009
Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3103/s1068362309040049
Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Interpolation in approximation theory (41A05) Approximation with constraints (41A29) Best constants in approximation theory (41A44)
Related Items (4)
Polynomials with integer coefficients and Chebyshev polynomials ⋮ Density theorems with applications in quantum signal processing ⋮ On various moduli of smoothness and \(K\)-functionals ⋮ On the approximation of functions by polynomials and entire functions of exponential type
Cites Work
- The Jackson interpolation operator and construction of functions
- A general direct theorem on approximation of functions of class \(C^r\) by algebraic polynomials with Hermitian interpolation
- Pointwise estimates for monotone polynomial approximation
- Approximation of functions from the Lipschitz class by algebraic polynomials
- Approximation of smooth functions and constants by polynomials with integer and natural coefficients
- Simultaneous approximation by algebraic polynomials
- Self-Adjoint Operators and Cones
- Approximation of smooth functions on the semiaxis by entire functions of bounded half-degree
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