Approximation by polynomials

DOI10.1215/S0012-7094-43-01002-6zbMath0063.00919OpenAlexW1966219922WikidataQ56518507 ScholiaQ56518507MaRDI QIDQ2653145

J. A. Clarkson

Publication date: 1943

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-43-01002-6

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

Related Items (42)

Approximation in Müntz spaces \(M_{\Lambda,p}\) of \(L_p\) functions for \(1<p<\infty\) and bases ⋮ Approximation and existence of Schauder bases in Müntz spaces of \(L_{1}\) functions ⋮ Approximation on Curves ⋮ Approximation by Nonfundamental Sequences of Translates ⋮ Isomorphic classification of reflexive Müntz spaces ⋮ Essential norms of weighted composition operators on Müntz spaces ⋮ Lacunary Müntz systems ⋮ Essential norm of Cesàro operators on \(L^p\) and Cesàro spaces ⋮ Banach subspaces of continuous functions possessing Schauder bases ⋮ Markov-Type Inequalities for Products of Müntz Polynomials Revisited ⋮ Müntz spaces and Remez inequalities ⋮ Asymptotic Müntz–Szász theorems ⋮ Generalizations of Müntz’s Theorem via a Remez-type inequality for Müntz spaces ⋮ Approximation by Müntz-polynomials away from the origin ⋮ Müntz-Szász type theorems for the density of the span of powers of functions ⋮ Essential norms of Volterra and Cesàro operators on Müntz spaces ⋮ Closure Theorems with Applications to Entire Functions with Gaps ⋮ On the geometry of Müntz spaces ⋮ Some results and open questions on spaceability in function spaces ⋮ Notes on lacunary Müntz polynomials ⋮ Fundamental sets of fractal functions ⋮ Remez-type inequalities and their applications ⋮ Müntz-Jackson type theorems via interpolation ⋮ The density of rational functions in Markov systems: A counterexample to a conjecture of D. J. Newman ⋮ George Lorentz and inequalities in approximation ⋮ The ``full Müntz theorem in \(L_p[0,1\) for \(0<p<\infty\).] ⋮ Estimation of a Dirichlet polynomial in cases of sparse exponents ⋮ The closed span of an exponential system in the Banach spaces \(L^p(\gamma, \beta)\) and \(C[\gamma, \beta\)] ⋮ Markov-type inequalities for products of Müntz polynomials ⋮ Observation and prediction for the heat equation ⋮ Erweiterung der Approximationssätze von Jackson im Sinne von Ch. Müntz.II ⋮ Nonspanning sets of exponentials on curves ⋮ Universalities of reproducing kernels revisited ⋮ Ein funktionentheoretischer Beweis des Satzes von Müntz ⋮ Observation and prediction for the heat equation. II ⋮ Restrictions on the coefficients of approximating polynomials ⋮ The completeness of spaces of Dirichlet series with sufficiently sparse complex exponents ⋮ Functions with identical \(L_p\) norms ⋮ Data Recovery from Cauchy Measurements in Transient Heat Transfer ⋮ On the approximation of holomorphic functions by Müntz polynomials on an interval away from the origin ⋮ Zeros of Chebyshev polynomials in Markov systems ⋮ An Ingham-Müntz type theorem and simultaneous observation problems

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