Frontiers in approximation theory:
"This monograph presents the author's work of the last five years in approximation theory. The chapters are self-contained and can be read independently. Readers will find the topics covered are diverse and advanced courses can be taught out of this book.The first part of the book is dedic...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Undetermined |
| Veröffentlicht: |
Singapore
World Scientific Publishing Co. Pte. Ltd
c2015
|
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | "This monograph presents the author's work of the last five years in approximation theory. The chapters are self-contained and can be read independently. Readers will find the topics covered are diverse and advanced courses can be taught out of this book.The first part of the book is dedicated to fractional monotone approximation theory introduced for the first time by the author, taking the related ordinary theory of usual differentiation at the fractional differentiation level with polynomials and splines as approximators. The second part deals with the approximation by discrete singular operators of the Favard style, for example, of the Picard and Gauss–Weierstrass types. Then, it continues in a very detailed and extensive chapter on approximation by interpolating operators induced by neural networks, a connection to computer science. This book ends with the approximation theory and functional analysis on time scales, a very modern topic, detailing all the pros and cons of this method.The results in this book are expected to find applications in many areas of pure and applied mathematics. So far, very little is written about fractional approximation theory which is at its infancy. As such, it is suitable for researchers, graduate students, and performing seminars as well as an invaluable resource for all science libraries."-- |
| Beschreibung: | Title from PDF title page (viewed July 3, 2015) |
| Beschreibung: | 1 online resource (xii, 216 p.) ill. (some col.) |
| ISBN: | 9789814696104 |
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| 300 | |a 1 online resource (xii, 216 p.) |b ill. (some col.) | ||
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| 500 | |a Title from PDF title page (viewed July 3, 2015) | ||
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| 650 | 4 | |a Approximation theory | |
| 650 | 4 | |a Monotone operators | |
| 650 | 4 | |a Fractional differential equations | |
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Datensatz im Suchindex
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| author_facet | Anastassiou, George A. 1952- |
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| id | DE-604.BV044640719 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:57:58Z |
| institution | BVB |
| isbn | 9789814696104 |
| language | Undetermined |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030038690 |
| oclc_num | 908839047 1004814088 |
| open_access_boolean | |
| owner | DE-92 |
| owner_facet | DE-92 |
| physical | 1 online resource (xii, 216 p.) ill. (some col.) |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | World Scientific Publishing Co. Pte. Ltd |
| record_format | marc |
| spelling | Anastassiou, George A. 1952- Verfasser aut Frontiers in approximation theory George Anastassiou Singapore World Scientific Publishing Co. Pte. Ltd c2015 1 online resource (xii, 216 p.) ill. (some col.) txt rdacontent c rdamedia cr rdacarrier Title from PDF title page (viewed July 3, 2015) "This monograph presents the author's work of the last five years in approximation theory. The chapters are self-contained and can be read independently. Readers will find the topics covered are diverse and advanced courses can be taught out of this book.The first part of the book is dedicated to fractional monotone approximation theory introduced for the first time by the author, taking the related ordinary theory of usual differentiation at the fractional differentiation level with polynomials and splines as approximators. The second part deals with the approximation by discrete singular operators of the Favard style, for example, of the Picard and Gauss–Weierstrass types. Then, it continues in a very detailed and extensive chapter on approximation by interpolating operators induced by neural networks, a connection to computer science. This book ends with the approximation theory and functional analysis on time scales, a very modern topic, detailing all the pros and cons of this method.The results in this book are expected to find applications in many areas of pure and applied mathematics. So far, very little is written about fractional approximation theory which is at its infancy. As such, it is suitable for researchers, graduate students, and performing seminars as well as an invaluable resource for all science libraries."-- Approximation theory Monotone operators Fractional differential equations http://www.worldscientific.com/worldscibooks/10.1142/9649#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Anastassiou, George A. 1952- Frontiers in approximation theory Approximation theory Monotone operators Fractional differential equations |
| title | Frontiers in approximation theory |
| title_auth | Frontiers in approximation theory |
| title_exact_search | Frontiers in approximation theory |
| title_full | Frontiers in approximation theory George Anastassiou |
| title_fullStr | Frontiers in approximation theory George Anastassiou |
| title_full_unstemmed | Frontiers in approximation theory George Anastassiou |
| title_short | Frontiers in approximation theory |
| title_sort | frontiers in approximation theory |
| topic | Approximation theory Monotone operators Fractional differential equations |
| topic_facet | Approximation theory Monotone operators Fractional differential equations |
| url | http://www.worldscientific.com/worldscibooks/10.1142/9649#t=toc |
| work_keys_str_mv | AT anastassiougeorgea frontiersinapproximationtheory |