Bivariational bounds

Author:

Abstract

Complementary bivariational bounds are derived on the quantity < Φ, g > associated with the linear equation = f Hilbert space, where the operator A is self-adjoint. The vector g is arbitrary, and variational bounds on < Φ, f > are taken as the starting-point. Possible applications, including point-wise bounds on Φ , are briefly discussed.

Publisher

The Royal Society

Subject

Pharmacology (medical)

Reference13 articles.

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2. Barnsley M. F . & Robinson P . D. 1974a D ual variational principles an d P ad e-ty p e approxim ants. To ap p ear in J .In st. M ath. & Its A p p l.

3. Barnsley M. F . & Robinson P. D. 1974 b Pade-approxim ant bounds and approxim ate solutions for K irkw ood-R isem an in tegral equations. To ap pear in J . In st. M ath. & Its A p p l.

4. Finlayson B. A. 1972 The method of weighted residuals and variational principles. New Y o rk : Academic Press.

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