Harmonicity Modulus and Applications to the Approximation by Polyharmonic Functions

Details Harmonicity Modulus and Applications to the Approximation by Polyharmonic Functions Harmonicity Modulus and Applications to the Approximation by Polyharmonic Functions

2010-05-27

arxiv.org/abs/1005.4970v1

Almost the same version in "Approximation by solutions of partial differential equations" (Hanstholm, 1991), 111--125, NATO Ad

Mathematics

Numerical Analysis

Scientific paper

In the present paper we introduce the notion of harmonicity modulus and
harmonicity K-functional and apply these notions to prove a Jackson type
theorem for approximation of continuous functions by polyharmonic functions.
For corresponding results on approximation by polynomials see [3, 7].

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