Discontinuous Cebysev systems

From MaRDI portal
Publication:1134318

zbMath0423.41015MaRDI QIDQ1134318

Roland Zielke

Publication date: 1979

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)




Related Items

Simultaneous approximation and Birkhoff interpolation. II: the periodic caseOne-codimensional Tchebycheff subspacesAdjoining a constant function to \(n\)-dimensional Chebyshev spaceInterpolatory properties of best \(L_ 1\)-approximantsA characterization of Chebyshev curves in \(R^ n\)Integral representation of Markov systems and the existence of adjoined functions for Haar spacesEmbedding a function into a Haar spaceBest \(L_{1}\) approximation of Heaviside-type functions from Chebyshev and weak-Chebyshev spaces\(L^{1}\)-approximation and finding solutions with small supportWronskians, total positivity, and real Schubert calculusOn the embedding problem for Cebysev systemsErratum to: ``Extension of periodic Tchebycheff systemsAn elementary proof of the oscillation lemma for weak Markov systemsProperties of functions generalized convex with respect to a WT-systemOn the Chebyshev property for a new family of functionsA short proof that every weak Tchebycheff system may be transformed into a weak Markov systemUniqueness of best \(\varphi\)-approximation from the set of splines with infinitely many simple knotsSome properties of \(A\)-spaces and their relationship to \(L^ 1\)- approximationIntegral representation of normalized weak Markov systemsNondegeneracy and integral representation of weak Markov systemsOn weak Chebyshev subspaces. I: Equioscillation of the error in approximationOn \(A\)-spaces and their relation to the Hobby-Rice theoremOscillation spacesThe similarity between the best approximation and the best copositive approximationA note on the optimal stability of bases of univariate functionsPositivity and Optimization: Beyond PolynomialsA characterization of Descartes systems in Haar subspacesIntegral representation and embedding of weak Markov systemsStrictly totally positive systemsExtensions of endpoint equivalent and periodic Tchebycheff systemsOn copositive approximation in some classical spaces of sequencesGlobal convexity of curves and polygonsInterpolation at a few pointsSplicing of Markov and weak Markov systemsOn extending the domain of definition of Chebyshev and weak Chebyshev systemsUniqueness of best \(L_ 1\)-approximations from periodic spline spacesInterpolation by generalized splinesCharacterization of WT-spaces whose derivatives form a WT-spaceEmbedding of weak Markov systemsDegeneracy in WT-spacesSome hereditary properties of WT-systemsThe generalized convexity cone of splines with multiple knotsRelative differentiability and integral representation of a class of weak Markov systems