000 02781nam a22004455i 4500
001 978-3-319-55402-0
003 DE-He213
005 20181204134421.0
007 cr nn 008mamaa
008 170414s2017 gw | s |||| 0|eng d
020 _a9783319554020
_9978-3-319-55402-0
024 7 _a10.1007/978-3-319-55402-0
_2doi
040 _aISI Library, Kolkata
050 4 _aQA401-425
072 7 _aPBKJ
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBKJ
_2thema
082 0 4 _a511.4
_223
100 1 _aBustamante, Jorge.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aBernstein Operators and Their Properties
_h[electronic resource] /
_cby Jorge Bustamante.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Birkhäuser,
_c2017.
300 _aXII, 420 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPreface -- Preliminaries -- Basic properties of Bernstein operators -- Bernstein polynomials as linear operators -- Upper estimates of the error with Bernstein operators -- Bernstein type inequalities -- Converse results -- Iterates of Bernstein polynomials -- Linear combination of Bernstein polynomials -- Final comments.
520 _aThis book provides comprehensive information on the main aspects of Bernstein operators, based on the literature to date. Bernstein operators have a long-standing history and many papers have been written on them. Among all types of positive linear operators, they occupy a unique position because of their elegance and notable approximation properties. This book presents carefully selected material from the vast body of literature on this topic. In addition, it highlights new material, including several results (with proofs) appearing in a book for the first time. To facilitate comprehension, exercises are included at the end of each chapter. The book is largely self-contained and the methods in the proofs are kept as straightforward as possible. Further, it requires only a basic grasp of analysis, making it a valuable and appealing resource for advanced graduate students and researchers alike.
650 0 _aMathematics.
650 1 4 _aApproximations and Expansions.
_0http://scigraph.springernature.com/things/product-market-codes/M12023
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319554013
776 0 8 _iPrinted edition:
_z9783319554037
776 0 8 _iPrinted edition:
_z9783319856513
856 4 0 _uhttps://doi.org/10.1007/978-3-319-55402-0
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c427244
_d427244