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         Approximations Expansions:     more books (94)
  1. Expansions and Asymptotics for Statistics (Chapman & Hall/CRC Monographs on Statistics & Applied Probability) by Christopher G. Small, 2010-05-07
  2. Stochastic Approximation and Recursive Algorithms and Applications (Stochastic Modelling and Applied Probability) by Harold J. Kushner, G. George Yin, 2010-11-02
  3. Interpolation and Approximation by Polynomials (CMS Books in Mathematics) by George M. Phillips, 2010-11-02
  4. A Unified Approach to Uniqueness, Expansion and Approximation Problems by Chiu-Cheng Chang, 1994-11
  5. Multipliers for (C,alpha)-Bounded Fourier Expansions in Banach Spaces and Approximation Theory (Lecture Notes in Mathematics) (Volume 0) by W. Trebels, 1973-08-20
  6. Fourier Analysis and Approximation of Functions by Roald M. Trigub, Eduard S. Belinsky, 2010-11-02
  7. Fixed Point Theory and Best Approximation: The KKM-map Principle (Mathematics and Its Applications) by S.P. Singh, B. Watson, et all 2010-11-02
  8. Approximation Theory, Wavelets and Applications (NATO Science Series C: (closed))
  9. Algorithms for Approximation: Proceedings of the 5th International Conference, Chester, July 2005
  10. Nonlinear Numerical Methods and Rational Approximation (Mathematics and Its Applications)
  11. Approximation and Complexity in Numerical Optimization: Continuous and Discrete Problems (Nonconvex Optimization and Its Applications)
  12. Approximation by Solutions of Partial Differential Equations (NATO Science Series C: (closed))
  13. Duality for Nonconvex Approximation and Optimization (CMS Books in Mathematics) by Ivan Singer, 2010-11-02
  14. Approximation Theory and Spline Functions (NATO Science Series C: (closed)) by S. P. Singh, J. W. H. Burry, et all 1984-09-30

1. JSTOR Uniform Saddlepoint Approximations
Uniform saddlepoint approximations expansions can be obtained if the density of X1 belongs to one of the four classes of densities in Daniels (1954).
http://links.jstor.org/sici?sici=0001-8678(198809)20:3<622:USA>2.0.CO;2-P

2. Approximations, Expansions And Univalued Representations Of
We consider multifunctions acting between two linear normed spaces and having closed convex images. approximations are considered which serve as an
http://citeseer.ist.psu.edu/157025.html

3. ScienceDirect - Nonlinear Analysis : Approximations, Expansions And Univalued Re
approximations, expansions and univalued representations of multifunctions*1. Darinka Dentcheva Corresponding Author Contact Information
http://linkinghub.elsevier.com/retrieve/pii/S0362546X99003314
Athens/Institution Login Not Registered? User Name: Password: Remember me on this computer Forgotten password? Home Browse My Settings ... Help Quick Search Title, abstract, keywords Author e.g. j s smith Journal/book title Volume Issue Page Nonlinear Analysis
Volume 45, Issue 1
, July 2001, Pages 85-108
Abstract
Full Text + Links PDF (187 K) Related Articles in ScienceDirect Differentiable Selections and Castaing Representations ...
Journal of Mathematical Analysis and Applications

Differentiable Selections and Castaing Representations of Multifunctions
Journal of Mathematical Analysis and Applications Volume 223, Issue 2 15 July 1998 Pages 371-396
Darinka Dentcheva
Abstract
We consider set-valued mappings defined on a linear normed space with convex closed images in n
Abstract
Abstract + References PDF (269 K) Existence of solutions for lower semicontinuous quasi ... e...
Existence of solutions for lower semicontinuous quasi equilibrium problems Volume 30, Issue 12 December 1995 Pages 11-22 P. Cubiotti Abstract In this paper, we deal with the following quasi-equilibrium problem : given a nonempty subset C of a topological vector space X , a nonempty set D , two functions T C D f X D R and a multifunction S C X , find such that and for all . Such a problem, recently introduced in [1], extends and unifies several variational inequality problems, generalized complementarity problems and Nash equilibrium problems. We prove several existence results in which the upper semicontinuity of the multifunction

4. Approximations, Expansions And Univalued Representations Of Multifunctions
approximations, expansions and univalued representations of multifunctions. Source, Nonlinear Analysis Theory, Methods Applications archive
http://portal.acm.org/citation.cfm?id=380093.380107&coll=GUIDE&dl=GUIDE&CFID=151

5. IngentaConnect Approximations, Expansions And Univalued Representations Of Multi
approximations, expansions and univalued representations of multifunctions. Author Dentcheva D.1. Source Nonlinear Analysis, Volume 45, Number 1,
http://www.ingentaconnect.com/content/els/0362546x/2001/00000045/00000001/art003

6. Math Gateway
A short article designed to provide an introduction to approximations and expansions, which primarily concern the approximation of classes of real functions
http://mathgateway.maa.org/do/SearchForm?search=expansions

7. 41: Approximations And Expansions
approximations and expansions primarily concern the approximation of classes of real functions by functions of special types. This includes approximations
http://www.math.niu.edu/~rusin/known-math/index/41-XX.html
Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields
POINTERS: Texts Software Web links Selected topics here
41: Approximations and expansions
Introduction
Approximations and expansions primarily concern the approximation of classes of real functions by functions of special types. This includes approximations by linear functions, polynomials (not just the Taylor polynomials), rational functions, and so on; approximations by trigonometric polynomials is separated into Fourier analysis (below). Topics include criteria for goodness of fit, error bounds, stability upon change of approximating family, and preservation of functional characteristics (e.g. differentiability) under approximation. Effective techniques for specific kinds of approximation are also prized. This is also the area covering interpolation and splines.
History
Applications and related fields
For all approximation theory in the complex domain, See 30Exx, 30E05, and 30E10; for all trigonometric approximation and interpolation, see 42Axx, 42A10, and 42A15; for numerical approximation, See 65Dxx This image slightly hand-edited for clarity.

8. Taylor Series - Wikipedia, The Free Encyclopedia
The Kerala school of astronomy and mathematics further expanded his works with various series expansions and rational approximations until the 16th century.
http://en.wikipedia.org/wiki/Taylor_series
Taylor series
From Wikipedia, the free encyclopedia
Jump to: navigation search "Series expansion" redirects here. For other notions of the term, see series As the degree of the Taylor polynomial rises, it approaches the correct function. This image shows sin x and Taylor approximations, polynomials of degree and The exponential function (in blue), and the sum of the first n +1 terms of its Taylor series at (in red). In mathematics , the Taylor series is a representation of a function as an infinite sum of terms calculated from the values of its derivatives at a single point. It may be regarded as the limit of the Taylor polynomials . Taylor series are named in honour of English mathematician Brook Taylor . If the series uses the derivatives at zero, the series is also called a Maclaurin series , named after Scottish mathematician Colin Maclaurin
Contents
edit Definition
The Taylor series of a real or complex function f x ) that is infinitely differentiable in a neighborhood of a real or complex number a , is the power series which in a more compact form can be written as where n ! is the factorial of n and f n a ) denotes the n th derivative of f at the point a ; the zeroth derivative of f is defined to be f itself and ( x a and 0! are both defined to be 1.

9. Pearson - Real Analysis With Real Applications
Accuracy of Approximation. Existence of Best approximations. Characterizing Best approximations. expansions Using Chebychev Polynomials. Splines.
http://www.pearsonhighered.com/academic/product/0,,0130416479,00+en-USS_01DBC.ht
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10. Numerical Approximations Using Chebyshev Polynomial Expansions
Numerical approximations using Chebyshev polynomial expansions Elgendi s method revisited. Bogdan Mihaila et al 2002 J. Phys. A Math. Gen.
http://www.iop.org/EJ/abstract/0305-4470/35/3/317
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Numerical approximations using Chebyshev polynomial expansions: El-gendi's method revisited
Bogdan Mihaila et al J. Phys. A: Math. Gen. 731-746 doi:10.1088/0305-4470/35/3/317 PDF (318 KB) Gzipped PS (325 KB) References Articles citing this article ...
Bogdan Mihaila
and Ioana Mihaila
Physics Division, Argonne National Laboratory, Argonne, IL 60439, USA
Department of Mathematics and Statistics, Coastal Carolina University, Conway, SC 29528-6054, USA
E-mail: bogdan@theory.phy.anl.gov Abstract. We present numerical solutions for differential equations by expanding the unknown function in terms of Chebyshev polynomials and solving a system of linear equations directly for the values of the function at the extrema (or zeros) of the Chebyshev polynomial of order N (El-gendi's method). The solutions are exact at these points, apart from round-off computer errors and the convergence of other numerical methods used in solving the linear system of equations. Applications to initial value problems in time-dependent quantum field theory, and second-order boundary value problems in fluid dynamics are presented. PACS numbers: 02.70.-c, 02.30.Mv, 02.60.Jh, 02.60.Nm, 02.60.Lj, 02.70.Bf

11. The Mathematical Institute Eprints Archive - Subject: Approximations And Expansi
Subject approximations and expansions. Mathematics Subject Classification (626) A C (356). approximations and expansions (18)
http://eprints.maths.ox.ac.uk/view/subjects/M41.html
University of Oxford Mathematical Institute Mathematical Institute EPrint Server Home About Browse ... Help
The Mathematical Institute Eprints Archive
Subject: Approximations and expansions

12. 1075-1078
Your browser may not have a PDF reader available. Google recommends visiting our text version of this document.
http://jpsj.ipap.jp/link?JPSJ/67/1075/

13. MIMS EPrints - Subject: 41 Approximations And Expansions
Subject 41 approximations and expansions. MIMS Preprint Server Subjects (753) MSC 2000, the AMS s Mathematics Subject Classification (716)
http://eprints.ma.man.ac.uk/view/subjects/MSC_41.html
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Subject: 41 Approximations and expansions

14. 41-XX
41XX approximations and expansions. {For all approximation theory in the complex domain, see 30E05 and 30E10; for all trigonometric approximation and
http://www.ams.org/mathweb/msc1991/41-XX.html
41-XX Approximations and expansions
and ; for all trigonometric approximation and interpolation, see and ; for numerical approximation, see
  • 41-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 41-01 Instructional exposition (textbooks, tutorial papers, etc.)
  • 41-02 Research exposition (monographs, survey articles)
  • 41-03 Historical (must be assigned at least one classification number from Section 01)
  • 41-04 Explicit machine computation and programs (not the theory of computation or programming)
  • 41-06 Proceedings, conferences, collections, etc.
  • 41A05 Interpolation [See also and
  • 41A15 Spline approximation
  • 41A20 Approximation by rational functions
  • 41A25 Rate of convergence, degree of approximation
  • 41A27 Inverse theorems
  • 41A28 Simultaneous approximation
  • 41A29 Approximation with constraints
  • 41A30 Approximation by other special function classes
  • 41A35 Approximation by operators (in particular, by integral operators)
  • 41A36 Approximation by positive operators
  • 41A40 Saturation
  • 41A44 Best constants
  • 41A45 Approximation by arbitrary linear expressions
  • 41A46 Approximation by arbitrary nonlinear expressions; widths and entropy

15. [math/0503601] Asymptotic Expansions For The Laplace Approximations Of Sums Of B
Asymptotic expansions for the Laplace approximations of sums of Banach spacevalued random variables. Authors Sergio Albeverio, Song Liang
http://arxiv.org/abs/math/0503601
arXiv.org math
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Mathematics > Probability
Title: Asymptotic expansions for the Laplace approximations of sums of Banach space-valued random variables
Authors: Sergio Albeverio Song Liang (Submitted on 25 Mar 2005) Abstract: Comments: Published at this http URL in the Annals of Probability ( this http URL ) by the Institute of Mathematical Statistics ( this http URL Subjects: Probability (math.PR) MSC classes: 62E20, 60F10, 60B12. (Primary) Journal reference: Annals of Probability 2005, Vol. 33, No. 1, 300-336 DOI Report number: IMS-AOP-AOP299 Cite as: arXiv:math/0503601v1 [math.PR]
Submission history
From: Sergio Albeverio [ view email
Fri, 25 Mar 2005 14:37:45 GMT (125kb,S)
Which authors of this paper are endorsers?
Link back to: arXiv form interface contact

16. Subject: 41-xx APPROXIMATIONS AND EXPANSIONS
Subject 41xx approximations AND expansions. MSC2000 (1271). 41-xx approximations AND expansions. This list was generated on Tue Jan 8 061041 JST 2008.
http://eprints.math.sci.hokudai.ac.jp/view/subjects/41-xx.html
EPrint Series of Department of Mathematics, Hokkaido University Home About Browse Search Metadata ... Help
Subject: 41-xx APPROXIMATIONS AND EXPANSIONS
  • 41-xx APPROXIMATIONS AND EXPANSIONS
This list was generated on Fri Mar 14 06:10:39 JST 2008
Site Administrator: webmaster atmark math.sci.hokudai.ac.jp;

17. Citebase - Properties Of Derivative Expansion Approximations To The Renormalizat
Approximation only by derivative (or more generally momentum) expansions, combined with reparametrization invariance, turns the continuous renormalization
http://www.citebase.org/abstract?id=oai:arXiv.org:hep-th/9610012

18. ORIENTALIA | Encyclopedia | Subject Index | Approximations And Expansions - Info
Explore the Sacred Texts Database for approximations+and+expansions approximations and expansions Info-Guide, Reviews, Deep Discount Shopping
http://www.orientalia.org/info2672-Approximations and expansions.html

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  • 19. Analysis In Theory And Applications - Approximations And Expansions Journals, Bo
    Analysis in Theory and Applications publishes original research papers in the fields of approximation theory and expansions, Fourier and harmonic analysis,
    http://www.springer.com/west/home/math/analysis?SGWID=4-10044-70-35524204-0

    20. Elementary Expansions, Limits Approximations
    Elementary expansions, Limits approximations. Assume throughout that . Power Law Especially useful for which. Logarithm. Exponential
    http://musr.physics.ubc.ca/~jess/p455/math/node4.html
    Next: About this document Up: SOME HANDY MATH Previous: Central Limit Theorem
    Assume throughout that
    • Power Law:
      Especially useful: for which
    • Logarithm:
    • Exponential:
      Especially useful:
      Note also that while
    • Stirling's approximation:

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