Chebyshev rational approximations to certain entire functions in \([0,+\infty)\)

DOI10.1016/0021-9045(70)90054-7zbMath0213.08704OpenAlexW1986965754MaRDI QIDQ2544819

Richard S. Varga, Günter Meinardus

Publication date: 1970

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

Full work available at URL: https://doi.org/10.1016/0021-9045(70)90054-7

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by rational functions (41A20) Rate of convergence, degree of approximation (41A25) Special classes of entire functions of one complex variable and growth estimates (30D15)

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Approximation of entire functions of zero order ⋮ Converse theorems and extensions in Chebyshev rational approximation to certain entire functions in [0,+∞) ⋮ The degree of approximation by polynomials increasing to the right of the interval ⋮ Degree of approximation of differentiable functions by reciprocals of polynomials on \([0,\infty)\) ⋮ A class of rational approximations of the positive real axis - a survey ⋮ Convergence of Padé approximants to \(e^{-z}\) on unbounded sets ⋮ A note on rational approximation on \([0,\infty)\) ⋮ On approximation by polynomials increasing to the right of the interval ⋮ Rational approximation to certain entire functions in [0,+∞) ⋮ Geometric convergence of rational approximations to \(e^{-z}\) in infinite sectors ⋮ Rational approximation ⋮ Approximation of meromorphic functions by rational functions ⋮ Geometric convergence of Chebyshev rational approximations on \([0,+\infty \)] ⋮ Recent advances in Chebyshev rational approximation on finite and infinite intervals ⋮ Ein hinreichendes Kriterium für geometrische Konvergenz rationaler Tschebyscheff-Approximationen auf \([0,\infty\)] ⋮ Chebyshev approximation constants related to entire functions of perfectly regular growth ⋮ A contribution to rational Chebyshev approximation to certain entire functions in \([0, \infty)\)

Cites Work

• Chebyshev rational approximations to \(e^{-x}\) in \([0,+\infty)\) and applications to heat-conduction problems
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