The ``full Müntz theorem in \(L_p[0,1]\) for \(0<p<\infty\).</i>

DOI10.1007/BF02788108zbMath1222.41024OpenAlexW2086693091MaRDI QIDQ5947094

William B. Johnson, Tamás Erdélyi

Publication date: 5 June 2003

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02788108

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Approximation by other special function classes (41A30)

Related Items (16)

Variants of Müntz-Szàsz analogs for Euclidean spin groups ⋮ On the denseness of span \(\{x^{\lambda _{j}}(1 - x)^{1 - \lambda _{j}}\}\) in \(C_{0}([0,1)\)] ⋮ Müntz-Szàsz analogues for compact extensions of Heisenberg groups ⋮ Markov-Type Inequalities for Products of Müntz Polynomials Revisited ⋮ Ensemble controllability of parabolic type equations ⋮ Asymptotic Müntz–Szász theorems ⋮ Müntz-Szász type theorems for the density of the span of powers of functions ⋮ Perturbations in Müntz's theorem ⋮ Müntz-type theorems on the half-line with weights ⋮ George Lorentz and inequalities in approximation ⋮ The closed span of an exponential system in the Banach spaces \(L^p(\gamma, \beta)\) and \(C[\gamma, \beta\)] ⋮ Undamped eigenperiods of a sea-based gravity monotower ⋮ Orbits of Cesàro type operators ⋮ Kantorovich-Bernstein α-fractal function in 𝓛^P spaces ⋮ Functions with identical \(L_p\) norms ⋮ An identity for two integral transforms applied to the uniqueness of a distribution via its Laplace–Stieltjes transform

Cites Work

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• A short proof of Müntz's theorem
• Zeros of Chebyshev polynomials in Markov systems
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• \(\ell^q\)-subspaces of stable \(p\)-Banach spaces, \(0<p\leq 1\)
• Notes on lacunary Müntz polynomials
• The basic sequence problem for quasi-normed spaces
• Full Müntz theorem in \(L_ p[0,1\)]
• Approximation by polynomials
• Variations on Müntz's Theme
• A Müntz-type problem for rational approximation
• Lacunary Müntz systems
• Muntz Systems and Orthogonal Muntz-Legendre Polynomials
• Generalizations of Müntz’s Theorem via a Remez-type inequality for Müntz spaces
• The basic sequence problem
• The 𝐿_{𝑝} version of Newman’s Inequality for lacunary polynomials
• The Full Müntz Theorem in C [0, 1 and L ₁ [0, 1]]
• Entire Functions and Muntz-Szasz Type Approximation
• Muntz-Szasz Type Approximation and the Angular Growth of Lacunary Integral Functions

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