Regularly varying functions:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1976
|
| Series: | Lecture notes in mathematics
508 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IV, 112 S. graph. Darst. |
| ISBN: | 3540076182 0387076182 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV001963299 | ||
| 003 | DE-604 | ||
| 005 | 20240419 | ||
| 007 | t | ||
| 008 | 890928s1976 d||| |||| 00||| eng d | ||
| 020 | |a 3540076182 |9 3-540-07618-2 | ||
| 020 | |a 0387076182 |9 0-387-07618-2 | ||
| 035 | |a (OCoLC)237131345 | ||
| 035 | |a (DE-599)BVBBV001963299 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-384 |a DE-355 |a DE-20 |a DE-824 |a DE-29T |a DE-19 |a DE-12 |a DE-706 |a DE-83 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 510/.8 | |
| 082 | 0 | |a 515/.8 | |
| 084 | |a SI 850 |0 (DE-625)143199: |2 rvk | ||
| 084 | |a 26A12 |2 msc | ||
| 100 | 1 | |a Seneta, Eugene |e Verfasser |0 (DE-588)170834921 |4 aut | |
| 245 | 1 | 0 | |a Regularly varying functions |c Eugene Seneta |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1976 | |
| 300 | |a IV, 112 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 508 | |
| 650 | 4 | |a Fonctions de variables réelles | |
| 650 | 4 | |a Functions of real variables | |
| 650 | 0 | 7 | |a Wahrscheinlichkeit |0 (DE-588)4137007-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Zeichenkette |0 (DE-588)4067448-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Funktion |g Mathematik |0 (DE-588)4071510-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Verteilungsfunktion |0 (DE-588)4192219-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Variable |0 (DE-588)4129518-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Wahrscheinlichkeit |0 (DE-588)4137007-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Zeichenkette |0 (DE-588)4067448-4 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Funktion |g Mathematik |0 (DE-588)4071510-3 |D s |
| 689 | 2 | |5 DE-604 | |
| 689 | 3 | 0 | |a Variable |0 (DE-588)4129518-3 |D s |
| 689 | 3 | |5 DE-604 | |
| 689 | 4 | 0 | |a Verteilungsfunktion |0 (DE-588)4192219-0 |D s |
| 689 | 4 | |5 DE-604 | |
| 830 | 0 | |a Lecture notes in mathematics |v 508 |w (DE-604)BV000676446 |9 508 | |
| 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=001280340&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |n cgwrk-korr | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001280340 | ||
| 980 | 4 | |a (DE-12)AK20200876 | |
Record in the Search Index
| _version_ | 1804116406254436352 |
|---|---|
| adam_text | CONTENTS
CHAPTER 1. FUNCTIONS OF REGULÄR VARIATION
1.1 Introduction. 1
1.2 Fundamental Theorems. 2
1.3 Refinement of Definition of Regulär Variation.
Characterization of Regulär Variation. 7
1.4 The Structure of Slowly Varying Functions and
Alternative Proofs. 13
1.5 Further Properties of Regularly Varying Functions. 17
1.6 Conjugate and Complementary Regularly Varying Functions. 25
1.7 The Definition of a Regularly Varying Function. 29
1.8 Monotone Regulär Variation. 37
1.9 Bibliographie Notes and Discussion. 43
Exercises to Chapter 1. 47
CHAPTER 2. SOME SECONDARY THEORY OF REGULARLY VARYING FUNCTIONS
2.1 Necessary and Sufficient Integral Conditions for Regulär
Variation. 53
2.2 Tauberian Theorems Involving Regulär Variation. 59
2.3 A Class of Integrals Involving Regularly Varying
Functions. 63
2.4 A Class of Functions Related to Regularly Varying
Functions. 69
2.5 Bibliographie Notes and Discussion. 85
Exercises to Chapter 2. 86
APPENDIX. GENERALIZATIONS OF REGULÄR VARIATION
A.l R 0 Varying Functions. 92
A.2 S 0 Varying Functions. 97
A.3 Monotonicity; Dominated Variation. 99
A.4 Bibliographie Notes and Discussion. 104
REFERENCES 106
SUBJECT INDEX 111
|
| any_adam_object | 1 |
| author | Seneta, Eugene |
| author_GND | (DE-588)170834921 |
| author_facet | Seneta, Eugene |
| author_role | aut |
| author_sort | Seneta, Eugene |
| author_variant | e s es |
| building | Verbundindex |
| bvnumber | BV001963299 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)237131345 (DE-599)BVBBV001963299 |
| dewey-full | 510/.8 515/.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 515 - Analysis |
| dewey-raw | 510/.8 515/.8 |
| dewey-search | 510/.8 515/.8 |
| dewey-sort | 3510 18 |
| 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>02221nam a2200589 cb4500</leader><controlfield tag="001">BV001963299</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20240419 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">890928s1976 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540076182</subfield><subfield code="9">3-540-07618-2</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387076182</subfield><subfield code="9">0-387-07618-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)237131345</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV001963299</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-91G</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510/.8</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.8</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 850</subfield><subfield code="0">(DE-625)143199:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">26A12</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Seneta, Eugene</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)170834921</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Regularly varying functions</subfield><subfield code="c">Eugene Seneta</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">1976</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">IV, 112 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="490" ind1="1" ind2=" "><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">508</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fonctions de variables réelles</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functions of real variables</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wahrscheinlichkeit</subfield><subfield code="0">(DE-588)4137007-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Zeichenkette</subfield><subfield code="0">(DE-588)4067448-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Funktion</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4071510-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Verteilungsfunktion</subfield><subfield code="0">(DE-588)4192219-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Variable</subfield><subfield code="0">(DE-588)4129518-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Wahrscheinlichkeit</subfield><subfield code="0">(DE-588)4137007-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Zeichenkette</subfield><subfield code="0">(DE-588)4067448-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Funktion</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4071510-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Variable</subfield><subfield code="0">(DE-588)4129518-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="4" ind2="0"><subfield code="a">Verteilungsfunktion</subfield><subfield code="0">(DE-588)4192219-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="4" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">508</subfield><subfield code="w">(DE-604)BV000676446</subfield><subfield code="9">508</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=001280340&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="n">cgwrk-korr</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001280340</subfield></datafield><datafield tag="980" ind1="4" ind2=" "><subfield code="a">(DE-12)AK20200876</subfield></datafield></record></collection> |
| id | DE-604.BV001963299 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:38:00Z |
| institution | BVB |
| isbn | 3540076182 0387076182 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001280340 |
| oclc_num | 237131345 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-12 DE-706 DE-83 DE-11 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-12 DE-706 DE-83 DE-11 DE-188 |
| physical | IV, 112 S. graph. Darst. |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Seneta, Eugene Verfasser (DE-588)170834921 aut Regularly varying functions Eugene Seneta Berlin [u.a.] Springer 1976 IV, 112 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 508 Fonctions de variables réelles Functions of real variables Wahrscheinlichkeit (DE-588)4137007-7 gnd rswk-swf Zeichenkette (DE-588)4067448-4 gnd rswk-swf Funktion Mathematik (DE-588)4071510-3 gnd rswk-swf Verteilungsfunktion (DE-588)4192219-0 gnd rswk-swf Variable (DE-588)4129518-3 gnd rswk-swf Wahrscheinlichkeit (DE-588)4137007-7 s DE-604 Zeichenkette (DE-588)4067448-4 s Funktion Mathematik (DE-588)4071510-3 s Variable (DE-588)4129518-3 s Verteilungsfunktion (DE-588)4192219-0 s Lecture notes in mathematics 508 (DE-604)BV000676446 508 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001280340&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Seneta, Eugene Regularly varying functions Lecture notes in mathematics Fonctions de variables réelles Functions of real variables Wahrscheinlichkeit (DE-588)4137007-7 gnd Zeichenkette (DE-588)4067448-4 gnd Funktion Mathematik (DE-588)4071510-3 gnd Verteilungsfunktion (DE-588)4192219-0 gnd Variable (DE-588)4129518-3 gnd |
| subject_GND | (DE-588)4137007-7 (DE-588)4067448-4 (DE-588)4071510-3 (DE-588)4192219-0 (DE-588)4129518-3 |
| title | Regularly varying functions |
| title_auth | Regularly varying functions |
| title_exact_search | Regularly varying functions |
| title_full | Regularly varying functions Eugene Seneta |
| title_fullStr | Regularly varying functions Eugene Seneta |
| title_full_unstemmed | Regularly varying functions Eugene Seneta |
| title_short | Regularly varying functions |
| title_sort | regularly varying functions |
| topic | Fonctions de variables réelles Functions of real variables Wahrscheinlichkeit (DE-588)4137007-7 gnd Zeichenkette (DE-588)4067448-4 gnd Funktion Mathematik (DE-588)4071510-3 gnd Verteilungsfunktion (DE-588)4192219-0 gnd Variable (DE-588)4129518-3 gnd |
| topic_facet | Fonctions de variables réelles Functions of real variables Wahrscheinlichkeit Zeichenkette Funktion Mathematik Verteilungsfunktion Variable |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001280340&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT senetaeugene regularlyvaryingfunctions |