LEADER 02705nam 2200589 450 001 996466625003316 005 20220304133218.0 010 $a3-540-47079-4 024 7 $a10.1007/BFb0089190 035 $a(CKB)1000000000437117 035 $a(SSID)ssj0000325428 035 $a(PQKBManifestationID)12102601 035 $a(PQKBTitleCode)TC0000325428 035 $a(PQKBWorkID)10321427 035 $a(PQKB)10970226 035 $a(DE-He213)978-3-540-47079-3 035 $a(MiAaPQ)EBC5592723 035 $a(Au-PeEL)EBL5592723 035 $a(OCoLC)1066178613 035 $a(MiAaPQ)EBC6842553 035 $a(Au-PeEL)EBL6842553 035 $a(PPN)155185403 035 $a(EXLCZ)991000000000437117 100 $a20220304d1992 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aOrdered cones and approximation /$fKlaus Keimel, Walter Roth 205 $a1st ed. 1992. 210 1$aBerlin :$cSpringer-Verlag,$d[1992] 210 4$dİ1992 215 $a1 online resource (VI, 142 p.) 225 1 $aLecture notes in mathematics ;$v1517 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-55445-9 327 $aLocally convex cones -- Uniformly continuous operators and the dual cone -- Subcones -- Approximation -- Nachbin cones -- Quantitative estimates. 330 $aThis book presents a unified approach to Korovkin-type approximation theorems. It includes classical material on the approximation of real-valuedfunctions as well as recent and new results on set-valued functions and stochastic processes, and on weighted approximation. The results are notonly of qualitative nature, but include quantitative bounds on the order of approximation. The book is addressed to researchers in functional analysis and approximation theory as well as to those that want to applythese methods in other fields. It is largely self- contained, but the readershould have a solid background in abstract functional analysis. The unified approach is based on a new notion of locally convex ordered cones that are not embeddable in vector spaces but allow Hahn-Banach type separation and extension theorems. This concept seems to be of independent interest. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1517. 606 $aApproximation theory 615 0$aApproximation theory. 676 $a511.4 700 $aKeimel$b Klaus$054499 702 $aRoth$b Walter$f1947- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466625003316 996 $aOrdered cones and approximation$9262345 997 $aUNISA