Approximation theory using positive linear operators:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston <<[u.a.]>>
Birkhäuser
2004
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Orig.-Ausg.: Editura Universitatii "TRANSILVANIA", Brasov, 2003 |
| Physical Description: | VIII, 202 S. |
| ISBN: | 0817643508 |
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MARC
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| 240 | 1 | 0 | |a Approximation by linear positive operators: estimates with second order moduli |
| 245 | 1 | 0 | |a Approximation theory using positive linear operators |c Radu Păltănea |
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Record in the Search Index
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| adam_text | RADU PAELTAENEA APPROXIMATION THEORY USING POSITIVE LINEAR OPERATORS
BIRKHAEUSER BOSTON * BASEL * BERLIN CONTENTS PREFACE V 1 INTRODUCTION 1
1.1 OPERATORS AND FUNCTIONALS. MODULI OF CONTINUITY 1 1.2 APPROXIMATION
OF FUNCTIONS BY SEQUENCES OF POSITIVE LINEAR OPERATORS. 7 1.2.1 BASIC
THEOREMS OF CONVERGENCE 7 1.2.2 ESTIMATES WITH THE FIRST ORDER MODULUS 9
2 ESTIMATES WITH SECOND ORDER MODULI 15 2.1 A GENERAL APPROACH 15 2.1.1
INTRODUCTION 15 2.1.2 A GENERAL ESTIMATE FOR THE DEGREE OF APPROXIMATION
BY LINEAR POSITIVE FUNCTIONALS 16 2.2 ESTIMATES WITH MODULI U AND IO
21 2.2.1 INTRODUCTION. AUXILIARY RESULTS 21 2.2.2 MAIN RESULTS 27 2.3
ESTIMATES WITH MODULUS A 34 2.3.1 INTRODUCTION. AUXILIARY RESULTS 34
2.3.2 MAIN RESULTS 38 2.4 ESTIMATES WITH MODULUS COF 1 50 2.5 ESTIMATES
WITH DITZIAN-TOTIK MODULUS 54 2.5.1 AUXILIARY RESULTS 55 2.5.2 MAIN
RESULT 64 3 ABSOLUTE OPTIMAL CONSTANTS 69 3.1 INTRODUCTION 69 3.2
DISCRETE FUNCTIONALS AND THE CLASSICAL SECOND ORDER MODULUS C02 72 3.3
GENERAL FUNCTIONALS AND THE SECOND ORDER MODULUS WITH PARAMETER CO . 76
3.3.1 A PARTICULAR CASE 76 3.3.2 THE MAIN RESULTS 81 VIUE CONTENTS 4
ESTIMATES FOR THE BERNSTEIN OPERATORS 89 4.1 VARIOUS TYPES OF ESTIMATES
89 4.1.1 INTRODUCTION 89 4.1.2 APPLICATIONS OF GENERAL ESTIMATES .., 93
4.2 BEST CONSTANT IN THE ESTIMATE WITH MODULUS 2 96 4.2.1 INTRODUCTION.
MAIN RESULT 96 4.2.2 PROOF OF THE DIRECT PART OF THE THEOREM FOR N 60
98 4.2.3 PROOF OF THE DIRECT PART OF THE THEOREM FOR 1 N 59 110 4.3
GLOBAL SMOOTHNESS PRESERVATION 125 5 TWO CLASSES OF BERNSTEIN TYPE
OPERATORS 131 5.1 GENERALIZED BRASS TYPE OPERATORS 131 5.1.1 DEFINITIONS
AND GENERAL PROPERTIES 131 5.1.2 SIMULTANEOUS APPROXIMATION 139 5.2
GENERALIZED DURRMEYER TYPE OPERATORS 146 5.2.1 DURRMEYER TYPE OPERATORS
WITH GENERAL WEIGHTS 146 5.2.2 DURRMEYER TYPE OPERATORS WITH GENERALIZED
JACOBI WEIGHTS 151 6 APPROXIMATION OPERATORS FOR VECTOR-VALUED FUNCTIONS
161 6.1 APPROXIMATION OF FUNCTIONS WITH REAL ARGUMENT 161 6.1.1
INTRODUCTION. GENERALIZED POSITIVE AND CONVEX OPERATORS 161 6.1.2 A
KOROVKIN TYPE THEOREM 162 6.1.3 SIMULTANEOUS APPROXIMATION 165 6.2
APPROXIMATION OF FUNCTIONS WITH VECTOR ARGUMENT 171 6.2.1 INTRODUCTION.
LINEAR FUNCTIONALS AND OPERATORS INDUCED BY POSITIVE MEASURES 171 6.2.2
AUXILLIARY RESULTS 175 6.2.3 ESTIMATES WITH MODULI 2 AND O | 179 6.2.4
ESTIMATES WITH MODULUS AE 2 187 REFERENCES 195 INDEX 201
|
| any_adam_object | 1 |
| author | Păltănea, Radu 1953- |
| author_GND | (DE-588)123735475 |
| author_facet | Păltănea, Radu 1953- |
| author_role | aut |
| author_sort | Păltănea, Radu 1953- |
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| dewey-full | 511.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.4 |
| dewey-search | 511.4 |
| dewey-sort | 3511.4 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV024603759 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:02:51Z |
| institution | BVB |
| isbn | 0817643508 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018576926 |
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| owner_facet | DE-83 DE-11 DE-188 DE-739 |
| physical | VIII, 202 S. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Birkhäuser |
| record_format | marc |
| spelling | Păltănea, Radu 1953- Verfasser (DE-588)123735475 aut Approximation by linear positive operators: estimates with second order moduli Approximation theory using positive linear operators Radu Păltănea Boston <<[u.a.]>> Birkhäuser 2004 VIII, 202 S. txt rdacontent n rdamedia nc rdacarrier Orig.-Ausg.: Editura Universitatii "TRANSILVANIA", Brasov, 2003 Lineare Operatorgleichung (DE-588)4123658-0 gnd rswk-swf Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Approximationstheorie (DE-588)4120913-8 s Lineare Operatorgleichung (DE-588)4123658-0 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018576926&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Păltănea, Radu 1953- Approximation theory using positive linear operators Lineare Operatorgleichung (DE-588)4123658-0 gnd Approximationstheorie (DE-588)4120913-8 gnd |
| subject_GND | (DE-588)4123658-0 (DE-588)4120913-8 |
| title | Approximation theory using positive linear operators |
| title_alt | Approximation by linear positive operators: estimates with second order moduli |
| title_auth | Approximation theory using positive linear operators |
| title_exact_search | Approximation theory using positive linear operators |
| title_full | Approximation theory using positive linear operators Radu Păltănea |
| title_fullStr | Approximation theory using positive linear operators Radu Păltănea |
| title_full_unstemmed | Approximation theory using positive linear operators Radu Păltănea |
| title_short | Approximation theory using positive linear operators |
| title_sort | approximation theory using positive linear operators |
| topic | Lineare Operatorgleichung (DE-588)4123658-0 gnd Approximationstheorie (DE-588)4120913-8 gnd |
| topic_facet | Lineare Operatorgleichung Approximationstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018576926&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT paltanearadu approximationbylinearpositiveoperatorsestimateswithsecondordermoduli AT paltanearadu approximationtheoryusingpositivelinearoperators |