Duality in approximation and conjugate cones in normed linear spaces

DOI10.1016/0022-247X(77)90219-0zbMath0353.46007MaRDI QIDQ1236316

Vasant A. Ubhaya

Publication date: 1977

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Duality and reflexivity in normed linear and Banach spaces (46B10) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (6)

Quasi-convex optimization ⋮ Characterizing best isotone approximations in \(L_p\) spaces, \(1 \leq p < \infty\) ⋮ An O(n) algorithm for discrete n-point convex approximation with applications to continuous case ⋮ Duality and Lipschitzian selections in best approximation from nonconvex cones ⋮ Generalized isotone optimization with applications to starshaped functions ⋮ Nonlinear programming and an optimization problem on infinitely differentiable functions

Cites Work

• Isotone optimization. II
• Minimization of seminorms on a topological vector space. Duality and characterization theorems. Errata and Addenda
• A Unified Approach to Certain Problems of Approximation and Minimization
• Moduli of Monotonicity with Applications to Monotone Polynomial Approximation
• Applications of the Hahn-Banach Theorem in Approximation Theory
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