Advanced inequalities:
This monograph presents univariate and multivariate classical analyses of advanced inequalities. This treatise is a culmination of the author's last thirteen years of research work. The chapters are self-contained and several advanced courses can be taught out of this book. Extensive background...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2011
|
| Schriftenreihe: | Series on concrete and applicable mathematics
v. 11 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | This monograph presents univariate and multivariate classical analyses of advanced inequalities. This treatise is a culmination of the author's last thirteen years of research work. The chapters are self-contained and several advanced courses can be taught out of this book. Extensive background and motivations are given in each chapter with a comprehensive list of references given at the end. The topics covered are wide-ranging and diverse. Recent advances on Ostrowski type inequalities, Opial type inequalities, Poincare and Sobolev type inequalities, and Hardy-Opial type inequalities are examined. Works on ordinary and distributional Taylor formulae with estimates for their remainders and applications as well as Chebyshev-Gruss, Gruss and comparison of means inequalities are studied. The results presented are mostly optimal, that is the inequalities are sharp and attained. Applications in many areas of pure and applied mathematics, such as mathematical analysis, probability, ordinary and partial differential equations, numerical analysis, information theory, etc., are explored in detail, as such this monograph is suitable for researchers and graduate students. It will be a useful teaching material at seminars as well as an invaluable reference source in all science libraries |
| Beschreibung: | xii, 410 p |
| ISBN: | 9789814317634 |
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| discipline | Mathematik |
| format | Electronic eBook |
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| spelling | Anastassiou, George A. 1952- Verfasser aut Advanced inequalities George A. Anastassiou Singapore World Scientific Pub. Co. c2011 xii, 410 p txt rdacontent c rdamedia cr rdacarrier Series on concrete and applicable mathematics v. 11 This monograph presents univariate and multivariate classical analyses of advanced inequalities. This treatise is a culmination of the author's last thirteen years of research work. The chapters are self-contained and several advanced courses can be taught out of this book. Extensive background and motivations are given in each chapter with a comprehensive list of references given at the end. The topics covered are wide-ranging and diverse. Recent advances on Ostrowski type inequalities, Opial type inequalities, Poincare and Sobolev type inequalities, and Hardy-Opial type inequalities are examined. Works on ordinary and distributional Taylor formulae with estimates for their remainders and applications as well as Chebyshev-Gruss, Gruss and comparison of means inequalities are studied. The results presented are mostly optimal, that is the inequalities are sharp and attained. Applications in many areas of pure and applied mathematics, such as mathematical analysis, probability, ordinary and partial differential equations, numerical analysis, information theory, etc., are explored in detail, as such this monograph is suitable for researchers and graduate students. It will be a useful teaching material at seminars as well as an invaluable reference source in all science libraries Inequalities (Mathematics) Integral inequalities Opial inequalities Reelle Funktion (DE-588)4048918-8 gnd rswk-swf Ungleichung (DE-588)4139098-2 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Ungleichung (DE-588)4139098-2 s Reelle Funktion (DE-588)4048918-8 s 2\p DE-604 Erscheint auch als Druck-Ausgabe 9789814317627 Erscheint auch als Druck-Ausgabe 9814317624 http://www.worldscientific.com/worldscibooks/10.1142/7847#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Anastassiou, George A. 1952- Advanced inequalities Inequalities (Mathematics) Integral inequalities Opial inequalities Reelle Funktion (DE-588)4048918-8 gnd Ungleichung (DE-588)4139098-2 gnd |
| subject_GND | (DE-588)4048918-8 (DE-588)4139098-2 (DE-588)4123623-3 |
| title | Advanced inequalities |
| title_auth | Advanced inequalities |
| title_exact_search | Advanced inequalities |
| title_full | Advanced inequalities George A. Anastassiou |
| title_fullStr | Advanced inequalities George A. Anastassiou |
| title_full_unstemmed | Advanced inequalities George A. Anastassiou |
| title_short | Advanced inequalities |
| title_sort | advanced inequalities |
| topic | Inequalities (Mathematics) Integral inequalities Opial inequalities Reelle Funktion (DE-588)4048918-8 gnd Ungleichung (DE-588)4139098-2 gnd |
| topic_facet | Inequalities (Mathematics) Integral inequalities Opial inequalities Reelle Funktion Ungleichung Lehrbuch |
| url | http://www.worldscientific.com/worldscibooks/10.1142/7847#t=toc |
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