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Approximation of entire function solutions of the Helmholtz equation having slow growth
Veröffentlicht/Copyright:
27. November 2012
Abstract.
In this paper, we study the Chebyshev polynomial approximation of
entire solutions of Helmholtz equations in 
in Banach spaces
(
space, Hardy space and Bergman space). Some bounds on
generalized order of entire solutions of Helmholtz equations of slow
growth have been obtained in terms of the coefficients and
approximation errors using function theoretic methods.
Received: 2010-11-03
Revised: 2011-05-10
Accepted: 2011-07-27
Published Online: 2012-11-27
Published in Print: 2012-12-01
© 2012 by Walter de Gruyter Berlin Boston
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- Extending Lipschitz mappings continuously
- Approximation of entire function solutions of the Helmholtz equation having slow growth
- Optimal one-parameter mean bounds for the convex combination of arithmetic and geometric means
- Some theorems on fractional semilinear evolution equations
- Existence results for second-order impulsive neutral functional differential inclusions in Banach spaces
- Integral representation of set-valued sine families
- Modified Mann iterative algorithms by hybrid projection methods for nonexpansive semigroups and mixed equilibrium problems
- On the Lebesgue density theorem
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- The Stone representation of an atomic complete Boolean algebra is Marczewski–Burstin representable
Schlagwörter für diesen Artikel
Generalized order;
entire function;
Helmholtz equation;
Chebyshev approximation error
Artikel in diesem Heft
- Masthead
- Extending Lipschitz mappings continuously
- Approximation of entire function solutions of the Helmholtz equation having slow growth
- Optimal one-parameter mean bounds for the convex combination of arithmetic and geometric means
- Some theorems on fractional semilinear evolution equations
- Existence results for second-order impulsive neutral functional differential inclusions in Banach spaces
- Integral representation of set-valued sine families
- Modified Mann iterative algorithms by hybrid projection methods for nonexpansive semigroups and mixed equilibrium problems
- On the Lebesgue density theorem
- Lagrangian and Hamiltonian dynamics with imaginary time
- The Stone representation of an atomic complete Boolean algebra is Marczewski–Burstin representable
