On one-sided approximation by trigonometrical polynomials

DOI10.7146/math.scand.a-10473zbMath0077.07003OpenAlexW2530472027MaRDI QIDQ3241337

Tord Ganelius

Publication date: 1956

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165630

zbMATH Keywords

Approximation and Series Representations of Real Functions

Related Items (28)

One‐Sided Trigonometric Approximation in Metrics of the Fréchet Spaces L^p (0 < p < 1) ⋮ FRACTAL DIMENSION OF MULTIVARIATE α-FRACTAL FUNCTIONS AND APPROXIMATION ASPECTS ⋮ Best-possible one-sided approximations in the classes \(W^r_\alpha V(r>- 1)\) by trigonometric polynomials in the metric of \(L_1\) ⋮ Upper bounds of best one-sided approximations of the classes \(W^rL_\Psi\) in the metric of \(L\) ⋮ On the best one-sided approximation by entire functions ⋮ Jackson-type theorems for best one-sided approximations by trigonometrical polynomials and splines ⋮ Interpolation and \(L_1\)-approximation by trigonometric polynomials and blending functions ⋮ Best \(m\)-term one-sided trigonometric approximation of some function classes defined by a kind of multipliers ⋮ Approximation in the mean of linear combinations of shifts of certain functions ⋮ Development of studies on the exact solution of extremal problems of the theory of best approximation ⋮ Development of studies on the exact solution of extremal problems of the theory of best approximation ⋮ Completeness of orthogonal systems in asymmetric spaces with sign-sensitive weight ⋮ ON FUNCTION CLASSES OF STABLE DISTRIBUTIONS AND THEIR APPLICATIONS ⋮ On trigonometric blending interpolation and cubature formulae ⋮ The best one-sided approximation of one class of functions by another ⋮ The order of the best one-sided approximation by polynomials and splines in the \(L_p\)-metric ⋮ \(L^1\)-approximation to Laplace transforms of signed measures ⋮ Best one-sided approximation of certain classes of functions ⋮ Sharp approximations to the Bernoulli periodic functions by trigonometric polynomials ⋮ Best one-sided approximation of certain classes of functions ⋮ FRACTAL TRIGONOMETRIC POLYNOMIALS FOR RESTRICTED RANGE APPROXIMATION ⋮ Approximation by order intervals ⋮ Gaussian subordination for the Beurling-Selberg extremal problem ⋮ Unnamed Item ⋮ Exact values of best onesided approximation by trigonometrical polynomials and splines ⋮ Nonsymmetric approximation in spaces of integrable functions ⋮ Monotone approximation of functions by trigonometric polynomials ⋮ Trigonometrische Interpolation von Funktionen beschränkter Variation

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