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 |
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| container_title | Bulletin de l'Académie serbe des sciences, Classe des sciences mathématiques et naturelles. Sciences mathématiques |
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| creator | JANC, M. |
| description | 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. |
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| identifier | ISSN: 0561-7332 |
| ispartof | Bulletin de l'Académie serbe des sciences, Classe des sciences mathématiques et naturelles. Sciences mathématiques, 1986-01 (15), p.17-24 |
| issn | 0561-7332 2406-0909 |
| language | eng |
| recordid | cdi_jstor_primary_44095787 |
| source | JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing |
| subjects | Approximation Mathematical functions Mathematics Optimal solutions Sufficient conditions Unit ball |
| title | OPTIMAL AND SUBOPTIMAL SOLUTIONS OF A SIMULTANEOUS APPROXIMATION PROBLEM |
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