LEADER 02996nam 2200649 450 001 996466578703316 005 20220823112212.0 010 $a3-540-48404-3 024 7 $a10.1007/BFb0091385 035 $a(CKB)1000000000437176 035 $a(SSID)ssj0000326772 035 $a(PQKBManifestationID)12090962 035 $a(PQKBTitleCode)TC0000326772 035 $a(PQKBWorkID)10298209 035 $a(PQKB)10984158 035 $a(DE-He213)978-3-540-48404-2 035 $a(MiAaPQ)EBC5576545 035 $a(Au-PeEL)EBL5576545 035 $a(OCoLC)1066182082 035 $a(MiAaPQ)EBC6819039 035 $a(Au-PeEL)EBL6819039 035 $a(OCoLC)1287131019 035 $a(PPN)155187244 035 $a(EXLCZ)991000000000437176 100 $a20220823d1994 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSpaces of approximating functions with Haar-like conditions /$fKazuaki Kitahara 205 $a1st ed. 1994. 210 1$aBerlin :$cSpringer-Verlag,$d[1994] 210 4$dİ1994 215 $a1 online resource (VIII, 110 p.) 225 1 $aLecture notes in mathematics ;$v1576 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-57974-5 320 $aIncludes bibliographical references and index. 327 $aPreliminaries -- 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. 330 $aTchebycheff (or Haar) and weak Tchebycheff spaces play a central role when considering problems of best approximation from finite dimensional spaces. The aim of this book is to introduce Haar-like spaces, which are Haar and weak Tchebycheff spaces under special conditions. It studies topics of subclasses of Haar-like spaces, that is, classes of Tchebycheff or weak Tchebycheff spaces, spaces of vector-valued monotone increasing or convex functions and spaces of step functions. The notion of Haar-like spaces provides a general point of view which includes the theories of approximation from the above spaces. The contents are largely new. Graduate students and researchers in approximation theory will be able to read this book with only basic knowledge of analysis, functional analysis and linear algebra. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1576. 606 $aChebyshev systems 606 $aApproximation theory 606 $aMathematical analysis 615 0$aChebyshev systems. 615 0$aApproximation theory. 615 0$aMathematical analysis. 676 $a515 700 $aKitahara$b Kazuaki$f1958-$0441110 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466578703316 996 $aSpaces of approximating functions with Haar-like conditions$978733 997 $aUNISA