02996nam 2200649 450 99646657870331620220823112212.03-540-48404-310.1007/BFb0091385(CKB)1000000000437176(SSID)ssj0000326772(PQKBManifestationID)12090962(PQKBTitleCode)TC0000326772(PQKBWorkID)10298209(PQKB)10984158(DE-He213)978-3-540-48404-2(MiAaPQ)EBC5576545(Au-PeEL)EBL5576545(OCoLC)1066182082(MiAaPQ)EBC6819039(Au-PeEL)EBL6819039(OCoLC)1287131019(PPN)155187244(EXLCZ)99100000000043717620220823d1994 uy 0engurnn|008mamaatxtccrSpaces of approximating functions with Haar-like conditions /Kazuaki Kitahara1st ed. 1994.Berlin :Springer-Verlag,[1994]©19941 online resource (VIII, 110 p.) Lecture notes in mathematics ;1576Bibliographic Level Mode of Issuance: Monograph3-540-57974-5 Includes bibliographical references and index.Preliminaries -- Characterizations of approximating spaces of C[a, b] or C 0(Q) -- Some topics of haar-like spaces of F[a, b] -- Approximation by vector-valued monotone increasing or convex functions -- Approximation by step functions.Tchebycheff (or Haar) and weak Tchebycheff spaces play a central role when considering problems of best approximation from finite dimensional spaces. The aim of this book is to introduce Haar-like spaces, which are Haar and weak Tchebycheff spaces under special conditions. It studies topics of subclasses of Haar-like spaces, that is, classes of Tchebycheff or weak Tchebycheff spaces, spaces of vector-valued monotone increasing or convex functions and spaces of step functions. The notion of Haar-like spaces provides a general point of view which includes the theories of approximation from the above spaces. The contents are largely new. Graduate students and researchers in approximation theory will be able to read this book with only basic knowledge of analysis, functional analysis and linear algebra.Lecture notes in mathematics (Springer-Verlag) ;1576.Chebyshev systemsApproximation theoryMathematical analysisChebyshev systems.Approximation theory.Mathematical analysis.515Kitahara Kazuaki1958-441110MiAaPQMiAaPQMiAaPQBOOK996466578703316Spaces of approximating functions with Haar-like conditions78733UNISA