Global smoothness and shape preserving interpolation by classical operators:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston ; Basel ; Berlin
Birkhäuser
2005
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 139 - 143 Auch als Internetausgabe |
| Physical Description: | XIII, 146 S. graph. Darst. 24 cm |
| ISBN: | 9780817643874 0817643877 |
Staff View
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Record in the Search Index
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| adam_text | SORIN G. GAL
GLOBAL SMOOTHNESS AND
SHAPE PRESERVING INTERPOLATION
BY CLASSICAL OPERATORS
BIRKHAUSER
BOSTON YY BASEL YY BERLIN
CONTENTS
PREFACE IX
INTRODUCTION .1 XI
1 GLOBAL SMOOTHNESS PRESERVATION, UNIVARIATE CASE
1
1.1 NEGATIVE RESULTS 1
1.2 GLOBAL SMOOTHNESS PRESERVATION BY SOME LAGRANGE, HERMITE-FEJER,
AND SHEPARD-TYPE OPERATORS 4
1.3 ALGEBRAIC PROJECTION OPERATORS AND THE GLOBAL SMOOTHNESS
PRESERVATION PROPERTY 26
1.4 GLOBAL SMOOTHNESS PRESERVATION BY JACKSON TRIGONOMETRIC
INTERPOLATION POLYNOMIALS 30
1.5 TRIGONOMETRIC PROJECTION OPERATORS AND THE GLOBAL SMOOTHNESS
PRESERVATION PROPERTY 34
1.6 BIBLIOGRAPHICAL REMARKS AND OPEN PROBLEMS 37
2 PARTIAL SHAPE PRESERVATION, UNIVARIATE CASE
43
2.1 INTRODUCTION 43
2.2 HERMITE-FEJER AND GRIINWALD-TYPE POLYNOMIALS 45
2.3 SHEPARD OPERATORS 59
2.4 BIBLIOGRAPHICAL REMARKS AND OPEN PROBLEMS 69
3 GLOBAL SMOOTHNESS PRESERVATION, BIVARIATE CASE
71
3.
1
INTRODUCTION 71
3.2 BIVARIATE HERMITE-FEJER POLYNOMIALS 72
3.3 BIVARIATE SHEPARD OPERATORS 75
3.4 BIVARIATE LAGRANGE POLYNOMIALS 82
3.5 BIBLIOGRAPHICAL REMARKS AND OPEN PROBLEMS 87
4 PARTIAL SHAPE PRESERVATION, BIVARIATE CASE 91
4.1
INTRODUCTION
91
VIII CONTENTS
4.2 BIVARIATE HERMITE-FEJER POLYNOMIALS 92
4.3 BIVARIATE SHEPARD OPERATORS 98
4.4 BIBLIOGRAPHICAL REMARKS AND OPEN PROBLEMS 128
A
APPENDIX: GRAPHS OF SHEPARD SURFACES 129
REFERENCES 139
INDEX
145
|
| adam_txt |
SORIN G. GAL
GLOBAL SMOOTHNESS AND
SHAPE PRESERVING INTERPOLATION
BY CLASSICAL OPERATORS
BIRKHAUSER
BOSTON YY BASEL YY BERLIN
CONTENTS
PREFACE IX
INTRODUCTION .1 XI
1 GLOBAL SMOOTHNESS PRESERVATION, UNIVARIATE CASE
1
1.1 NEGATIVE RESULTS 1
1.2 GLOBAL SMOOTHNESS PRESERVATION BY SOME LAGRANGE, HERMITE-FEJER,
AND SHEPARD-TYPE OPERATORS 4
1.3 ALGEBRAIC PROJECTION OPERATORS AND THE GLOBAL SMOOTHNESS
PRESERVATION PROPERTY 26
1.4 GLOBAL SMOOTHNESS PRESERVATION BY JACKSON TRIGONOMETRIC
INTERPOLATION POLYNOMIALS 30
1.5 TRIGONOMETRIC PROJECTION OPERATORS AND THE GLOBAL SMOOTHNESS
PRESERVATION PROPERTY 34
1.6 BIBLIOGRAPHICAL REMARKS AND OPEN PROBLEMS 37
2 PARTIAL SHAPE PRESERVATION, UNIVARIATE CASE
43
2.1 INTRODUCTION 43
2.2 HERMITE-FEJER AND GRIINWALD-TYPE POLYNOMIALS 45
2.3 SHEPARD OPERATORS 59
2.4 BIBLIOGRAPHICAL REMARKS AND OPEN PROBLEMS 69
3 GLOBAL SMOOTHNESS PRESERVATION, BIVARIATE CASE
71
3.
1
INTRODUCTION 71
3.2 BIVARIATE HERMITE-FEJER POLYNOMIALS 72
3.3 BIVARIATE SHEPARD OPERATORS 75
3.4 BIVARIATE LAGRANGE POLYNOMIALS 82
3.5 BIBLIOGRAPHICAL REMARKS AND OPEN PROBLEMS 87
4 PARTIAL SHAPE PRESERVATION, BIVARIATE CASE 91
4.1
INTRODUCTION
91
VIII CONTENTS
4.2 BIVARIATE HERMITE-FEJER POLYNOMIALS 92
4.3 BIVARIATE SHEPARD OPERATORS 98
4.4 BIBLIOGRAPHICAL REMARKS AND OPEN PROBLEMS 128
A
APPENDIX: GRAPHS OF SHEPARD SURFACES 129
REFERENCES 139
INDEX
145 |
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| dewey-full | 511/.42 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| index_date | 2024-07-02T13:57:32Z |
| indexdate | 2024-07-09T20:35:29Z |
| institution | BVB |
| isbn | 9780817643874 0817643877 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014636686 |
| oclc_num | 57695035 |
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| owner | DE-824 DE-634 |
| owner_facet | DE-824 DE-634 |
| physical | XIII, 146 S. graph. Darst. 24 cm |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Birkhäuser |
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| spelling | Gal, Sorin G. 1953- Verfasser (DE-588)121815943 aut Global smoothness and shape preserving interpolation by classical operators Sorin G. Gal Boston ; Basel ; Berlin Birkhäuser 2005 XIII, 146 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 139 - 143 Auch als Internetausgabe Functions Global analysis (Mathematics) Interpolation Interpolation (DE-588)4162121-9 gnd rswk-swf Interpolation (DE-588)4162121-9 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014636686&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gal, Sorin G. 1953- Global smoothness and shape preserving interpolation by classical operators Functions Global analysis (Mathematics) Interpolation Interpolation (DE-588)4162121-9 gnd |
| subject_GND | (DE-588)4162121-9 |
| title | Global smoothness and shape preserving interpolation by classical operators |
| title_auth | Global smoothness and shape preserving interpolation by classical operators |
| title_exact_search | Global smoothness and shape preserving interpolation by classical operators |
| title_exact_search_txtP | Global smoothness and shape preserving interpolation by classical operators |
| title_full | Global smoothness and shape preserving interpolation by classical operators Sorin G. Gal |
| title_fullStr | Global smoothness and shape preserving interpolation by classical operators Sorin G. Gal |
| title_full_unstemmed | Global smoothness and shape preserving interpolation by classical operators Sorin G. Gal |
| title_short | Global smoothness and shape preserving interpolation by classical operators |
| title_sort | global smoothness and shape preserving interpolation by classical operators |
| topic | Functions Global analysis (Mathematics) Interpolation Interpolation (DE-588)4162121-9 gnd |
| topic_facet | Functions Global analysis (Mathematics) Interpolation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014636686&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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