Generalized isotone optimization with applications to starshaped functions

DOI10.1007/BF00934452zbMath0388.65006OpenAlexW2068345708MaRDI QIDQ1250678

Vasant A. Ubhaya

Publication date: 1979

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00934452

zbMATH Keywords

curve fittinglinear programming formulationstarshaped functionsgeneralized isotone optimization

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical optimization and variational techniques (65K10) Linear programming (90C05) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items

An O(n) algorithm for discrete n-point convex approximation with applications to continuous case, Starshaped sets, Duality and Lipschitzian selections in best approximation from nonconvex cones, \(L_ p\)-approximation from nonconvex subsets of special classes of functions, Minimization of seminorms on a topological vector space. Duality and characterization theorems, Linear time algorithms for convex and monotone approximation, Lipschitz condition in minimum norm problems on bounded functions

Cites Work

• Unnamed Item
• An O(n) algorithm for discrete n-point convex approximation with applications to continuous case
• Isotone optimization. II
• Duality in approximation and conjugate cones in normed linear spaces
• Isotone optimization. I
• Some function classes related to the class of convex functions
• A survey of the theory of spectral operators
• Analytic Inequalities