Mean value theorems and functional equations:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore [u.a.]
World Scientific
1998
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 245 S. graph. Darst. |
| ISBN: | 9810235445 |
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MARC
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Record in the Search Index
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| adam_text | MEAN VALUE THEOREMS AND FUNCTIONAL EQUATIONS P. K. SAHOO T. RIEDEL
UNIVERSITY OF LOUISVILLE LOUISVILLE, KY, USA WORLD SCIENTIFIC SINGAPORE
»NEW JERSEY * LONDON * HONG KONG CONTENTS PREFACE VII CHAPTER 1 ADDITIVE
AND BIADDITIVE FUNCTIONS 1 1.1 CONTINUOUS ADDITIVE FUNCTIONS 1 1.2
DISCONTINUOUS ADDITIVE FUNCTIONS 6 1.3 OTHER CRITERIA FOR LINEARITY 11
1.4 ADDITIVE FUNCTIONS ON THE REAL AND COMPLEX PLANE 12 1.5 BIADDITIVE
FUNCTIONS 18 1.6 SOME OPEN PROBLEMS 22 CHAPTER 2 LAGRANGE S MEAN VALUE
THEOREM AND RELATED FUNCTIONAL EQUATIONS 25 2.1 LAGRANGE S MEAN VALUE
THEOREM 25 2.2 APPLICATIONS OF THE MVT 30 2.3 ASSOCIATED FUNCTIONAL
EQUATIONS 40 2.4 THE MVT FOR DIVIDED DIFFERENCES 58 2.5 LIMITING
BEHAVIOR OF MEAN VALUES 64 2.6 CAUCHY S MVT AND FUNCTIONAL EQUATIONS 77
2.7 SOME OPEN PROBLEMS 80 CHAPTER 3 POMPEIU S MEAN VALUE THEOREM AND
ASSOCIATED FUNCTIONAL EQUATIONS 83 3.1 POMPEIU S MEAN VALUE THEOREM 83
3.2 STAMATE TYPE EQUATIONS 85 3.3 AN EQUATION OF KUCZMA 92 XI XII
CONTENTS 3.4 EQUATIONS MOTIVATED BY SIMPSON S RULE 98 3.5 SOME
GENERALIZATIONS 108 3.6 SOME OPEN PROBLEMS 125 CHAPTER 4 TWO-DIMENSIONAL
MEAN VALUE THEOREMS AND FUNCTIONAL EQUATIONS 127 4.1 MVTS FOR FUNCTIONS
IN TWO VARIABLES 127 4.2 MEAN VALUE TYPE FUNCTIONAL EQUATIONS 129 4.3
GENERALIZED MEAN VALUE TYPE EQUATIONS 135 4.4 CAUCHY S MVT FOR FUNCTIONS
IN TWO VARIABLES 144 4.5 SOME OPEN PROBLEMS 144 CHAPTER 5 SOME
GENERALIZATIONS OF LAGRANGE S MEAN VALUE THEOREM 147 5.1 MVTS FOR REAL
FUNCTIONS 147 5.2 MVTS FOR REAL VALUED FUNCTIONS ON THE PLANE 156 5.3
MVTS FOR VECTOR VALUED FUNCTIONS ON THE REALS 160 5.4 MVTS FOR VECTOR
VALUED FUNCTIONS ON THE PLANE 163 5.5 MVTS FOR FUNCTIONS ON THE COMPLEX
PLANE 168 5.6 A CONJECTURE OF FURI AND MARTELLI 180 CHAPTER 6 MEAN VALUE
THEOREMS FOR SOME GENERALIZED DERIVATIVES 181 6.1 SYMMETRIC
DIFFERENTIATION OF REAL FUNCTIONS 181 6.2 A QUASI-MEAN VALUE THEOREM 188
6.3 AN APPLICATION 192 6.4 GENERALIZATIONS OF MVTS . . . 193 6.5 _ DINI
DERIVATIVES OF REAL FUNCTIONS 195 6.6 MVTS FOR NONDIFFERENTIABLE
FUNCTIONS 201 CHAPTER 7 SOME INTEGRAL MEAN VALUE THEOREMS AND RELATED
TOPICS 207 7.1 THE INTEGRAL MVT AND GENERALIZATIONS 207 7.2 INTEGRAL
REPRESENTATION OF MEANS 218 7.3 COINCIDENCE OF MEAN VALUES 224 7.4 SOME
OPEN PROBLEMS 227 BIBLIOGRAPHY 233 INDEX 242
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| any_adam_object | 1 |
| author | Sahoo, Prasanna Riedel, Thomas |
| author_GND | (DE-588)1011154609 |
| author_facet | Sahoo, Prasanna Riedel, Thomas |
| author_role | aut aut |
| author_sort | Sahoo, Prasanna |
| author_variant | p s ps t r tr |
| building | Verbundindex |
| bvnumber | BV023775078 |
| classification_rvk | SK 600 |
| ctrlnum | (OCoLC)246092286 (DE-599)BVBBV023775078 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV023775078 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:36:33Z |
| institution | BVB |
| isbn | 9810235445 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017417305 |
| oclc_num | 246092286 |
| open_access_boolean | |
| owner | DE-634 DE-11 |
| owner_facet | DE-634 DE-11 |
| physical | XII, 245 S. graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Sahoo, Prasanna Verfasser (DE-588)1011154609 aut Mean value theorems and functional equations P. K. Sahoo ; T. Riedel Singapore [u.a.] World Scientific 1998 XII, 245 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Funktionalgleichung (DE-588)4018923-5 gnd rswk-swf Mittelwertsatz Integralrechnung (DE-588)4332255-4 gnd rswk-swf Funktionalgleichung (DE-588)4018923-5 s Mittelwertsatz Integralrechnung (DE-588)4332255-4 s DE-604 Riedel, Thomas Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017417305&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sahoo, Prasanna Riedel, Thomas Mean value theorems and functional equations Funktionalgleichung (DE-588)4018923-5 gnd Mittelwertsatz Integralrechnung (DE-588)4332255-4 gnd |
| subject_GND | (DE-588)4018923-5 (DE-588)4332255-4 |
| title | Mean value theorems and functional equations |
| title_auth | Mean value theorems and functional equations |
| title_exact_search | Mean value theorems and functional equations |
| title_full | Mean value theorems and functional equations P. K. Sahoo ; T. Riedel |
| title_fullStr | Mean value theorems and functional equations P. K. Sahoo ; T. Riedel |
| title_full_unstemmed | Mean value theorems and functional equations P. K. Sahoo ; T. Riedel |
| title_short | Mean value theorems and functional equations |
| title_sort | mean value theorems and functional equations |
| topic | Funktionalgleichung (DE-588)4018923-5 gnd Mittelwertsatz Integralrechnung (DE-588)4332255-4 gnd |
| topic_facet | Funktionalgleichung Mittelwertsatz Integralrechnung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017417305&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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