Interpolation of functions:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore [u.a.]
World Scientific
1990
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 289 - 302 |
| Physical Description: | XI, 305 S. graph. Darst. |
| ISBN: | 9971509156 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV004548301 | ||
| 003 | DE-604 | ||
| 005 | 20021022 | ||
| 007 | t | ||
| 008 | 911009s1990 d||| |||| 00||| engod | ||
| 020 | |a 9971509156 |9 9971-50-915-6 | ||
| 035 | |a (OCoLC)23176358 | ||
| 035 | |a (DE-599)BVBBV004548301 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91 |a DE-739 |a DE-29T |a DE-20 |a DE-703 |a DE-824 |a DE-19 |a DE-706 | ||
| 050 | 0 | |a QA323 | |
| 082 | 0 | |a 515.7 |b Sz12i |2 20 | |
| 084 | |a SK 470 |0 (DE-625)143241: |2 rvk | ||
| 084 | |a MAT 411f |2 stub | ||
| 100 | 1 | |a Szabados, József |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Interpolation of functions |c J. Szabados and P. Vértesi |
| 264 | 1 | |a Singapore [u.a.] |b World Scientific |c 1990 | |
| 300 | |a XI, 305 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturverz. S. 289 - 302 | ||
| 650 | 7 | |a fonction Lebesgue |2 inriac | |
| 650 | 7 | |a interpolation Lagrange |2 inriac | |
| 650 | 7 | |a interpolation |2 inriac | |
| 650 | 7 | |a théorie interpolation |2 inriac | |
| 650 | 4 | |a Functional analysis | |
| 650 | 4 | |a Interpolation spaces | |
| 650 | 0 | 7 | |a Interpolation |0 (DE-588)4162121-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Interpolation |0 (DE-588)4162121-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Vértesi, Péter |d 1938- |e Verfasser |0 (DE-588)122411056 |4 aut | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002798699&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-002798699 | ||
Record in the Search Index
| _version_ | 1804118680214175744 |
|---|---|
| adam_text | CONTENTS
Preface vii
Notations, Definitions 1
I. Lagrange Interpolation
1. Introduction 5
2. A general approach to obtain lower estimations 7
3. Fine and rough theory in Lagrange interpolation 17
4. Some further general theorems 30
5. Problems and remarks 34
II. Some Convergent Interpolatory Processes
1. The Erdos conditions 37
2. Convergence for an arbitrary system of nodes 52
3. Equidistant nodes 53
4. The Somorjai theorem 54
5. Interpolatory proofs of Timan and Gopengaui Telyakowskii
theorems 60
6. Problems and remarks 69
HI. The Lebesgue Function and Lebesgue Function Type Sums
1. Introduction 71
2. Lower estimates for the Lebesgue function and sums of
Lebesgue function type 72
be
x Content*
3. The corresponding results for complex and trigonometric 88
cases
4. Conjectures of Bernstein and Erdos on the optimal
Lebesgue constants 94
5. The values of A*, A* and A* 107
6. Problems and results 121
IV. Divergence of Lagrange Interpolation
1. Introduction. Classical results 125
2. Recent results 126
3. Almost everywhere divergence for arbitrary system
of nodes 127
4. Almost everywhere divergence in complex and
trigonometric cases 145
5. Divergence of Lagrange interpolation on a set of
second category 150
6. Problems and remarks 161
V. Hermite Fejer and Hermite Feje r Type Interpolations
1. Introduction and classical results 165
2. Error estimations 168
3. Necessary and sufficient conditions for the convergence
of {H{na P)} when max(a,/9) 0.
Hermite Fejex type interpolations 172
4. Problems and results 199
VI. Comparison of Lagrange and Hermite Fejer Interpolations
1. Introduction. Two divergence results 201
2. Generalizations of a previous result 207
3. Fine and rough theory for Hermite Feje r interpolation 216
4. Proving convergence for Lagrange interpolation via
Hermite Feje r interpolation 223
5. Problems and remarks 226
VII. Some Problems in the Theory of Lacunary Interpolation
1. Introduction 227
Content* xi
2. (0, 2) interpolation on Jacobi nodes 228
3. (0, 2) interpolation on Laguerre nodes 234
4. (0, m) trigonometric interpolation on equidistant nodes 239
5. Hermite Fejer interpolation revisited 261
6. Problems and remarks 263
VIII. Miscellaneous Problems
1. Derivatives of projection operators 265
2. Muntz Jackson type theorems via interpolation 272
3. An extremal problem for the fundamental functions
of interpolation 276
4. Problems and remarks 279
DC. Appendix: Some Frequently Used Relations and Theorems
1. Jacobi polynomials 281
2. Estimates for derivatives of polynomials 284
3. Uniform and pointwise approximation theorems 285
References 289
Index 303
|
| any_adam_object | 1 |
| author | Szabados, József Vértesi, Péter 1938- |
| author_GND | (DE-588)122411056 |
| author_facet | Szabados, József Vértesi, Péter 1938- |
| author_role | aut aut |
| author_sort | Szabados, József |
| author_variant | j s js p v pv |
| building | Verbundindex |
| bvnumber | BV004548301 |
| callnumber-first | Q - Science |
| callnumber-label | QA323 |
| callnumber-raw | QA323 |
| callnumber-search | QA323 |
| callnumber-sort | QA 3323 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 470 |
| classification_tum | MAT 411f |
| ctrlnum | (OCoLC)23176358 (DE-599)BVBBV004548301 |
| dewey-full | 515.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7 |
| dewey-search | 515.7 |
| dewey-sort | 3515.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01656nam a2200445 c 4500</leader><controlfield tag="001">BV004548301</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20021022 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">911009s1990 d||| |||| 00||| engod</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9971509156</subfield><subfield code="9">9971-50-915-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)23176358</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV004548301</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-706</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA323</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.7</subfield><subfield code="b">Sz12i</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 470</subfield><subfield code="0">(DE-625)143241:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 411f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Szabados, József</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Interpolation of functions</subfield><subfield code="c">J. Szabados and P. Vértesi</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore [u.a.]</subfield><subfield code="b">World Scientific</subfield><subfield code="c">1990</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XI, 305 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverz. S. 289 - 302</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">fonction Lebesgue</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">interpolation Lagrange</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">interpolation</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">théorie interpolation</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Interpolation spaces</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Interpolation</subfield><subfield code="0">(DE-588)4162121-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Interpolation</subfield><subfield code="0">(DE-588)4162121-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Vértesi, Péter</subfield><subfield code="d">1938-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)122411056</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002798699&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-002798699</subfield></datafield></record></collection> |
| id | DE-604.BV004548301 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:14:09Z |
| institution | BVB |
| isbn | 9971509156 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002798699 |
| oclc_num | 23176358 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-739 DE-29T DE-20 DE-703 DE-824 DE-19 DE-BY-UBM DE-706 |
| owner_facet | DE-91 DE-BY-TUM DE-739 DE-29T DE-20 DE-703 DE-824 DE-19 DE-BY-UBM DE-706 |
| physical | XI, 305 S. graph. Darst. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Szabados, József Verfasser aut Interpolation of functions J. Szabados and P. Vértesi Singapore [u.a.] World Scientific 1990 XI, 305 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 289 - 302 fonction Lebesgue inriac interpolation Lagrange inriac interpolation inriac théorie interpolation inriac Functional analysis Interpolation spaces Interpolation (DE-588)4162121-9 gnd rswk-swf Interpolation (DE-588)4162121-9 s DE-604 Vértesi, Péter 1938- Verfasser (DE-588)122411056 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002798699&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Szabados, József Vértesi, Péter 1938- Interpolation of functions fonction Lebesgue inriac interpolation Lagrange inriac interpolation inriac théorie interpolation inriac Functional analysis Interpolation spaces Interpolation (DE-588)4162121-9 gnd |
| subject_GND | (DE-588)4162121-9 |
| title | Interpolation of functions |
| title_auth | Interpolation of functions |
| title_exact_search | Interpolation of functions |
| title_full | Interpolation of functions J. Szabados and P. Vértesi |
| title_fullStr | Interpolation of functions J. Szabados and P. Vértesi |
| title_full_unstemmed | Interpolation of functions J. Szabados and P. Vértesi |
| title_short | Interpolation of functions |
| title_sort | interpolation of functions |
| topic | fonction Lebesgue inriac interpolation Lagrange inriac interpolation inriac théorie interpolation inriac Functional analysis Interpolation spaces Interpolation (DE-588)4162121-9 gnd |
| topic_facet | fonction Lebesgue interpolation Lagrange interpolation théorie interpolation Functional analysis Interpolation spaces Interpolation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002798699&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT szabadosjozsef interpolationoffunctions AT vertesipeter interpolationoffunctions |