Fuzzy mathematics: approximation theory
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2010
|
| Schriftenreihe: | Studies in fuzziness and soft computing
251 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020304710&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XII, 443 S. |
| ISBN: | 9783642112195 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS INTRODUCTION 1 1.1 BASICS 1 1.2 BACKGROUND 4 1.3 CHAPTERS
DESCRIPTION 10 ABOUT *-FUZZY DIFFERENTIATION 15 2.1 INTRODUCTION 15 2.2
BACKGROUND 16 2.3 BASIC RESULTS 17 2.4 WAIN RESULTS 30 ON FUZZY TAYLOR
FORMULAE 51 3.1 MAIN RESULTS 51 3.2 ADDENDUM 58 FUZZY OSTROWSKI
INEQUALITIES 65 4.1 INTRODUCTION 65 4.2 BACKGROUND 66 4.3 RESULTS 67 A
FUZZY TRIGONOMETRIC APPROXIMATION THE- OREM OF WEIERSTRASS-TYPE 75 5.1
INTRODUCTION 75 5.2 PRELIMINARIES 76 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/998031097 DIGITALISIERT DURCH 13.2 RESULTS 212 X
CONTENTS 5.3 MAIN RESULT 77 5.4 GENERAL REMARKS 80 6 ON BEST
APPROXIMATION AND JACKSON-TYPE ESTIMATES BY GENERALIZED FUZZY POLYNOMI-
ALS 83 6.1 INTRODUCTION 83 6.2 BEST APPROXIMATION, TRIGONOMETRIC CASE 84
6.3 BEST APPROXIMATION, ALGEBRAIC CASE 88 6.4 APPLICATION TO FUZZY
INTERPOLATION 96 7 BASIC FUZZY KOROVKIN THEORY 99 7.1 BASICS 99 7.2 MAIN
RESULTS 102 8 FUZZY TRIGONOMETRIC KOROVKIN THEORY 105 8.1 BASICS 105 8.2
MAIN RESULTS ILL 9 FUZZY GLOBAL SMOOTHNESS PRESERVATION 115 9.1 BASICS
115 9.2 MAIN RESULTS 121 10 FUZZY KOROVKIN THEORY AND INEQUALITIES 125
10.1 BACKGROUND 126 10.2 RELATED RESULTS 132 10.3 MAIN RESULTS 136 11
HIGHER ORDER FUZZY KOROVKIN THEORY US- ING INEQUALITIES 159 11.1
INTRODUCTION 159 11.2 UNIVARIATE RESULTS 167 11.3 MULTIDIMENSIONAL
RESULTS 175 11.4 LP-ESTIMATES, P 185 11.5 APPLICATIONS 188 12 FUZZY
WAVELET LIKE OPERATORS 191 12.1 BACKGROUND 191 12.2 RESULTS 192 13
ESTIMATES TO DISTANCES BETWEEN FUZZY WAVELET LIKE OPERATORS 209 13.1
BACKGROUND 209 20.4 RATE OF CONVERGENCE 394 CONTENTS XI 14 FUZZY
APPROXIMATION BY FUZZY CONVOLUTION OPERATORS 237 14.1 INTRODUCTION 237
14.2 BACKGROUND 240 14.3 MAIN RESULTS 248 15 DEGREE OF APPROXIMATION OF
FUZZY NEURAL NETWORK OPERATORS, UNIVARIATE CASE 263 15.1 BACKGROUND 263
15.2 BASIC PROPERTIES 265 15.3 MAIN RESULTS 271 16 HIGHER DEGREE OF
FUZZY APPROXIMATION BY FUZZY WAVELET TYPE AND NEURAL NETWORK OPERATORS
289 16.1 INTRODUCTION 289 16.2 MAIN RESULTS 293 17 FUZZY RANDOM KOROVKIN
THEOREMS AND IN- EQUALITIES 309 17.1 INTRODUCTION 309 17.2 AUXILLIARY
MATERIAL 315 17.3 MAIN RESULTS 318 17.4 APPLICATION 343 18 FUZZY-RANDOM
NEURAL NETWORK APPROXIMA- TION OPERATORS, UNIVARIATE CASE 347 18.1
INTRODUCTION 347 18.2 BASIC PROPERTIES 350 18.3 MAIN RESULTS 354 19
*-SUMMABILITY AND FUZZY KOROVKIN APPROX- IMATION 373 19.1 INTRODUCTION
373 19.2 A FUZZY KOROVKIN TYPE THEOREM 374 19.3 RATE OF CONVERGENCE 381
20 *-SUMMABILITY AND FUZZY TRIGONOMETRIC KO- ROVKIN APPROXIMATION 385
20.1 INTRODUCTION 385 20.2 BACKGROUND 386 20.3 A FUZZY KOROVKIN TYPE
THEOREM 387 INDEX 441 XII CONTENTS 21 UNIFORM REAL AND FUZZY ESTIMATES
FOR DIS- TANCES BETWEEN WAVELET TYPE OPERATORS AT REAL AND FUZZY
ENVIRONMENT 399 21.1 ESTIMATES FOR DISTANCES OF REAL WAVELET TYPE
OPERATORS . . 400 21.2 ESTIMATES FOR DISTANCES OF FUZZY WAVELET TYPE
OPERATORS . 421 REFERENCES 431 LIST OF SYMBOLS 439
|
| any_adam_object | 1 |
| author | Anastassiou, George A. 1952- |
| author_GND | (DE-588)121815900 |
| author_facet | Anastassiou, George A. 1952- |
| author_role | aut |
| author_sort | Anastassiou, George A. 1952- |
| author_variant | g a a ga gaa |
| building | Verbundindex |
| bvnumber | BV036432170 |
| classification_rvk | SK 470 |
| ctrlnum | (OCoLC)575018744 (DE-599)DNB998031097 |
| 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.BV036432170 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T14:33:14Z |
| institution | BVB |
| isbn | 9783642112195 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020304710 |
| oclc_num | 575018744 |
| open_access_boolean | |
| owner | DE-29T DE-824 DE-19 DE-BY-UBM |
| owner_facet | DE-29T DE-824 DE-19 DE-BY-UBM |
| physical | XII, 443 S. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Springer |
| record_format | marc |
| series | Studies in fuzziness and soft computing |
| series2 | Studies in fuzziness and soft computing |
| spellingShingle | Anastassiou, George A. 1952- Fuzzy mathematics approximation theory Studies in fuzziness and soft computing Fuzzy-Menge (DE-588)4061868-7 gnd Approximationstheorie (DE-588)4120913-8 gnd |
| subject_GND | (DE-588)4061868-7 (DE-588)4120913-8 |
| title | Fuzzy mathematics approximation theory |
| title_auth | Fuzzy mathematics approximation theory |
| title_exact_search | Fuzzy mathematics approximation theory |
| title_full | Fuzzy mathematics approximation theory George A. Anastassiou |
| title_fullStr | Fuzzy mathematics approximation theory George A. Anastassiou |
| title_full_unstemmed | Fuzzy mathematics approximation theory George A. Anastassiou |
| title_short | Fuzzy mathematics |
| title_sort | fuzzy mathematics approximation theory |
| title_sub | approximation theory |
| topic | Fuzzy-Menge (DE-588)4061868-7 gnd Approximationstheorie (DE-588)4120913-8 gnd |
| topic_facet | Fuzzy-Menge Approximationstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020304710&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV021858135 |
| work_keys_str_mv | AT anastassiougeorgea fuzzymathematicsapproximationtheory |