Best Polynomial Approximations in L 2 and Widths of Some Classes of Functions
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Publication:5692103
DOI10.1007/s11253-005-0148-0zbMath1079.41026OpenAlexW2014991035MaRDI QIDQ5692103
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Publication date: 27 September 2005
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11253-005-0148-0
Best approximation, Chebyshev systems (41A50) Approximation in the complex plane (30E10) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)
Related Items (13)
Jackson-Stechkin Inequality and Values of Widths of Some Classes of Functions in $L_2$ ⋮ On widths of periodic functions in \(L_2\) ⋮ Jackson-type inequalities and widths of function classes in \(L_{2}\) ⋮ Widths of some classes of functions defined by the generalized moduli of continuity \(\omega_\gamma\) in the space \(L_2\) ⋮ Approximation by classical orthogonal polynomials with weight in spaces \(L_{2, \gamma }(a,b)\) and widths of some functional classes ⋮ Widths of certain classes of periodic functions in \(L_2\) ⋮ Best polynomial approximations in \(L_{2}\) of classes of \(2{\pi}\)-periodic functions and exact values of their widths ⋮ Widths of classes of periodic differentiable functions in the space \(L_{2} [0, 2\pi\)] ⋮ Jackson-type inequalities with generalized modulus of continuity and exact values of the \(n\)-widths for the classes of \((\psi,\beta)\)-differentiable functions in \(L_2\). I ⋮ On the estimates of widths of the classes of functions defined by the generalized moduli of continuity and majorants in the weighted space \(L_{2,x}(0, 1)\) ⋮ A sharp inequality of Jackson-Stechkin type in \(L_{2}\) and the widths of functional classes ⋮ On the value of the widths of some classes of functions from L_2 ⋮ On the best approximation and the values of the widths of some classes of functions in the Bergmann weight space
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