Original Articles

APPROXIMATION OF LINEAR FUNCTIONALS

Published in: Quaestiones Mathematicae
Volume 20 , issue 1 , 1997 , pages: 17–27

DOI: 10.1080/16073606.1997.9631851

Author(s): P. Singh Department of Mathematics and Applied Mathematics, , J.R. Mika Department of Mathematics and Applied Mathematics,

Keywords: 65J10

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Abstract

We examine the approximation of linear functionals of the form Ω = ⟨x, g⟩, where x is the solution of the linear operator equation Ax = f, with x,g and f elements of Hilbert Space H and A is an invertible operator on H. We show that the results from the literature all involve the zero order approximation to the inverse operator.

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