000 02559nam a22004695i 4500
001 978-3-540-47079-3
003 DE-He213
005 20160624101825.0
007 cr nn 008mamaa
008 121227s1992 gw | s |||| 0|eng d
020 _a9783540470793
_9978-3-540-47079-3
024 7 _a10.1007/BFb0089190
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aKeimel, Klaus.
_eauthor.
245 1 0 _aOrdered Cones and Approximation
_h[electronic resource] /
_cby Klaus Keimel, Walter Roth.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1992.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1992.
300 _aVI, 142 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1517
505 0 _aLocally convex cones -- Uniformly continuous operators and the dual cone -- Subcones -- Approximation -- Nachbin cones -- Quantitative estimates.
520 _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.
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
700 1 _aRoth, Walter.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540554455
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1517
856 4 0 _uhttp://dx.doi.org/10.1007/BFb0089190
942 _2EBK1516
_cEBK
999 _c30810
_d30810