Limits And Bounds For Divided Differences On A Jordan Curve In The Complex Domain

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Limits And Bounds For Divided Differences On A Jordan Curve In The Complex Domain
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Author : J. H. Curtiss
language : en
Publisher:
Release Date : 1961
Limits And Bounds For Divided Differences On A Jordan Curve In The Complex Domain written by J. H. Curtiss and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.
Limits And Bounds For Divided Differences On A Jordan Curve In The Complex Domain
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1961
Limits And Bounds For Divided Differences On A Jordan Curve In The Complex Domain written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.
Let Sn+1 be a set of n+1 points lying on a Jordan curve C, let f be a function given on C, and let dn denote the divided difference of order n formed for f in the points Sn+1. It is proved that if the (n-1)-th derivative of f exists and satisfies a Lipschitz condition, and C satisfies a mild smoothness restriction, then /dn/ is uniformly bounded for all choices of Sn+1 in which the points are distinct. An extension to confluent points is given. In the case in which C is the unit circle, the structure of the bound is displayed. It is also shown for a general C that if the points of the sequence S2, S3 ... become everywhere dense on C in a certain way, then lim as n approaches infinity cn+1dn equals integral C f dz / 2pi i, where c is the transfinite diameter of C.
Polynomial Interpolation In Points Equidistributed On The Unit Circle
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Author : J. H. Curtiss
language : en
Publisher:
Release Date : 1961
Polynomial Interpolation In Points Equidistributed On The Unit Circle written by J. H. Curtiss and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Interpolation categories.
U S Government Research Reports
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Author :
language : en
Publisher:
Release Date : 1962
U S Government Research Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Science categories.
Oar Quarterly Index Of Current Research Results
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Author : United States. Air Force. Office of Aerospace Research
language : en
Publisher:
Release Date : 1959
Oar Quarterly Index Of Current Research Results written by United States. Air Force. Office of Aerospace Research and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Aeronautics, Military categories.
Oar Cumulative Index Of Research Results
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Author :
language : en
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Oar Cumulative Index Of Research Results written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Aeronautics categories.
Pacific Journal Of Mathematics
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Author :
language : en
Publisher:
Release Date : 1967
Pacific Journal Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Mathematics categories.
Nbs Ina The Institute For Numerical Analysis Ucla 1947 1954
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Author : Magnus Rudolph Hestenes
language : en
Publisher:
Release Date : 1991
Nbs Ina The Institute For Numerical Analysis Ucla 1947 1954 written by Magnus Rudolph Hestenes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Numerical analysis categories.
Information Processing Journal
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Author :
language : en
Publisher:
Release Date : 1962
Information Processing Journal written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Computers categories.
Bibliography Of Scientific And Industrial Reports
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Author :
language : en
Publisher:
Release Date : 1962
Bibliography Of Scientific And Industrial Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Science categories.