Best polynomial approximation to certain entire functions

DOI10.1016/0021-9045(72)90032-9zbMath0225.41006OpenAlexW2143669781MaRDI QIDQ5921415

A. R. Reddy

Publication date: 1972

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(72)90032-9

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (16)

Polynomial approximation of an entire function and rate of growth of Taylor coefficients ⋮ Generalized growth and approximation of entire function solution of Helmholtz equation in Banach spaces ⋮ Generalized order and best approximation of entire function in \(L^{p}\)-norm ⋮ Polynomial approximation of generalized biaxisymmetric potentials ⋮ Best polynomial approximation in \(L^p\)-norm and \((p, q)\)-growth of entire functions ⋮ Polynomial approximation of an entire function of slow growth ⋮ Best polynomial approximation to certain entire functions ⋮ The best polynomial approximations of entire transcendental functions with generalized growth order in Banach spaces \(\mathcal{E}_p^\prime (G)\) and \(\mathcal{E}_p(G)\), \(p \geqslant 1\) ⋮ Generalized growth and best approximation of entire functions in \(L^p\) -norm in several complex variables ⋮ Polynomial approximation of an entire function and generalized orders ⋮ Addendum to: 'Best polynomial approximation to certain entire functions' ⋮ \((p,q)\)-growth of meromorphic functions and the Newton-Padé approximant ⋮ On the distribution of alternation points in uniform polynomial approximation of entire functions ⋮ On the relation between maximum modulus, maximum term, and Taylor coefficients of an entire function ⋮ Approximation of generalized biaxially symmetric potentials on certain domains ⋮ A contribution to best approximation in the L\(^2\) norm

Cites Work

• On an extension of a result of S. N. Bernstein
• On the lower order of integral functions
• Approximation of an entire function
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