Best uniform approximation of complex-valued functions by generalized polynomials having restricted ranges
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Publication:1125465
DOI10.1006/jath.1999.3347zbMath0935.41021OpenAlexW2074294888MaRDI QIDQ1125465
Georgey S. Smirnov, Roman G. Smirnov
Publication date: 9 May 2000
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jath.1999.3347
existenceuniquenesscharacterizationbest uniform approximationrestricted rangesminimal admissible pair of sets
Related Items (7)
Stable and total Fenchel duality for composed convex optimization problems ⋮ Unnamed Item ⋮ Limit theory of restricted range approximations of complex-valued continuous functions ⋮ A Complex Homographic Best Approximation Problem. Application to Optimized Robin--Schwarz Algorithms, and Optimal Control Problems ⋮ On best restricted range approximation in continuous complex-valued function spaces ⋮ On best approximations from \(RS\)-sets in complex Banach spaces ⋮ On best uniform restricted range approximation in complex-valued continuous function spaces.
Cites Work
- On the unicity of solutions of problems of best approximations
- Uniform approximation with constraints
- A Haar-type theory of best uniform approximation with constraints
- Approximation by functions having restricted ranges. III
- Some theorems on Cebysev approximation
- On Haar's Theorem Concerning Chebychev Approximation Problems Having Unique Solutions
- A Unified Approach to Certain Problems of Approximation and Minimization
- On the nonexistence of complex Haar systems
- On Approximation by Polynomials Having Restricted Ranges
- Helly's Theorems on Convex Domains and Tchebycheff's Approximation Problem
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