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The Resource Approximation by Max-Product Type Operators, by Barnabás Bede, Lucian Coroianu, Sorin G. Gal, (electronic resource)

Approximation by Max-Product Type Operators, by Barnabás Bede, Lucian Coroianu, Sorin G. Gal, (electronic resource)

Label
Approximation by Max-Product Type Operators
Title
Approximation by Max-Product Type Operators
Statement of responsibility
by Barnabás Bede, Lucian Coroianu, Sorin G. Gal
Creator
Contributor
Author
Subject
Language
eng
Summary
This monograph presents a broad treatment of developments in an area of constructive approximation involving the so-called "max-product" type operators. The exposition highlights the max-product operators as those which allow one to obtain, in many cases, more valuable estimates than those obtained by classical approaches. The text considers a wide variety of operators which are studied for a number of interesting problems such as quantitative estimates, convergence, saturation results, localization, to name several. Additionally, the book discusses the perfect analogies between the probabilistic approaches of the classical Bernstein type operators and of the classical convolution operators (non-periodic and periodic cases), and the possibilistic approaches of the max-product variants of these operators. These approaches allow for two natural interpretations of the max-product Bernstein type operators and convolution type operators: firstly, as possibilistic expectations of some fuzzy variables, and secondly, as bases for the Feller type scheme in terms of the possibilistic integral. These approaches also offer new proofs for the uniform convergence based on a Chebyshev type inequality in the theory of possibility. Researchers in the fields of approximation of functions, signal theory, approximation of fuzzy numbers, image processing, and numerical analysis will find this book most beneficial. This book is also a good reference for graduates and postgraduates taking courses in approximation theory.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Bede, Barnabás
Dewey number
223
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Coroianu, Lucian.
  • Gal, Sorin G.
Series statement
Springer eBooks
http://library.link/vocab/subjectName
  • Mathematics
  • Approximation theory
  • Measure theory
  • Operator theory
  • Information theory
Label
Approximation by Max-Product Type Operators, by Barnabás Bede, Lucian Coroianu, Sorin G. Gal, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-34189-7
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Preface -- 1. Introduction and Preliminaries -- 2. Approximation by Max-Product Bernstein Operators -- 3. Approximation by Max-Product Favard-Szász-Mirakjan Operators -- 4. Approximation by Max-Product Baskakov Operators -- 5. Approximation by Max-Product Bleimann-Butzer-Hahn Operators -- 6. Approximation by Max-Product Meyer-König and Zeller Operators -- 7. Approximation by Max-Product Interpolation Operators -- 8. Approximations by Max-Product Sampling Operators -- 9. Global Smoothness Preservation Properties -- 10. Possibilistic Approaches of the Max-Product Type Operators -- 11. Max-Product Weierstrass Type Functions -- References -- Index
Control code
978-3-319-34189-7
Dimensions
unknown
Extent
1 online resource (XV, 458 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319341897
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-34189-7
Other physical details
12 illustrations, 1 illustration in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)956505364
Label
Approximation by Max-Product Type Operators, by Barnabás Bede, Lucian Coroianu, Sorin G. Gal, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-34189-7
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Preface -- 1. Introduction and Preliminaries -- 2. Approximation by Max-Product Bernstein Operators -- 3. Approximation by Max-Product Favard-Szász-Mirakjan Operators -- 4. Approximation by Max-Product Baskakov Operators -- 5. Approximation by Max-Product Bleimann-Butzer-Hahn Operators -- 6. Approximation by Max-Product Meyer-König and Zeller Operators -- 7. Approximation by Max-Product Interpolation Operators -- 8. Approximations by Max-Product Sampling Operators -- 9. Global Smoothness Preservation Properties -- 10. Possibilistic Approaches of the Max-Product Type Operators -- 11. Max-Product Weierstrass Type Functions -- References -- Index
Control code
978-3-319-34189-7
Dimensions
unknown
Extent
1 online resource (XV, 458 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319341897
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-34189-7
Other physical details
12 illustrations, 1 illustration in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)956505364

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