OPTIMAL AND SUBOPTIMAL SOLUTIONS OF A SIMULTANEOUS APPROXIMATION PROBLEM

OPTIMAL AND SUBOPTIMAL SOLUTIONS OF A SIMULTANEOUS APPROXIMATION PROBLEM

In this paper simultaneous approximation of a function defined on a normed linear space X and its transform by a continuous bounded (not necessarily linear) operator A defined on a subset V of X with values in another normed linear space Y is considered. Some conditions for an element gϵ V to be an...

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Veröffentlicht in:Bulletin de l'Académie serbe des sciences, Classe des sciences mathématiques et naturelles. Sciences mathématiques Classe des sciences mathématiques et naturelles. Sciences mathématiques, 1986-01 (15), p.17-24
1. Verfasser: JANC, M.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Mathematical functions
Mathematics
Optimal solutions
Sufficient conditions
Unit ball
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Zusammenfassung:In this paper simultaneous approximation of a function defined on a normed linear space X and its transform by a continuous bounded (not necessarily linear) operator A defined on a subset V of X with values in another normed linear space Y is considered. Some conditions for an element gϵ V to be an optimal, resp. ε-optimal solution of this problem are given via duality theory generalizing the known Kolmogorov criterion.
ISSN:0561-7332
2406-0909