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  • Book
  • © 2011

Approximation and Computation

In Honor of Gradimir V. Milovanović

  • Includes results from diverse areas of mathematics, engineering and the computational sciences
  • Presents approximation methods in various computational settings including: polynomial and orthogonal systems, analytic functions, and differential equations
  • Provides a historical overview of approximation theory and many of its subdiciplines
  • Contains new results from diverse areas of research spanning mathematics, engineering, and the computational sciences

Part of the book series: Springer Optimization and Its Applications (SOIA, volume 42)

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Table of contents (32 chapters)

  1. Front Matter

    Pages i-xvii
  2. Introduction

    1. Front Matter

      Pages 1-1
    2. On Some Major Trends in Mathematics

      • Themistocles M. Rassias
      Pages 45-49
  3. Polynomials and Orthogonal Systems

    1. Front Matter

      Pages 51-51
    2. An Application of Sobolev Orthogonal Polynomials to the Computation of a Special Hankel Determinant

      • Paul Barry, Predrag M. Rajković, Marko D. Petković
      Pages 53-60
    3. Energy of Graphs and Orthogonal Matrices

      • V. Božin, M. Mateljević
      Pages 87-96
    4. Interlacing Property of Zeros of Shifted Jacobi Polynomials

      • Aleksandar S. Cvetković
      Pages 97-101
    5. Trigonometric Orthogonal Systems

      • Aleksandar S. Cvetković, Marija P. Stanić
      Pages 103-116
    6. Compatibility of Continued Fraction Convergents with Padé Approximants

      • Jacek Gilewicz, Radosław Jedynak
      Pages 135-144
    7. Orthogonal Decomposition of Fractal Sets

      • Ljubiša M. Kocić, Sonja Gegovska - Zajkova, Elena Babače
      Pages 145-156
    8. Positive Trigonometric Sums and Starlike Functions

      • Stamatis Koumandos
      Pages 157-182
  4. Quadrature Formulae

    1. Front Matter

      Pages 183-183
    2. The Remainder Term of Gauss–Turán Quadratures for Analytic Functions

      • Miodrag M. Spalević, Miroslav S. Pranić
      Pages 253-266

About this book

Approximation theory and numerical analysis are central to the creation of accurate computer simulations and mathematical models. Research in these areas can influence the computational techniques used in a variety of mathematical and computational sciences.

This collection of contributed chapters, dedicated to renowned mathematician Gradimir V. Milovanović, represent the recent work of experts in the fields of approximation theory and numerical analysis. These invited contributions describe new trends in these important areas of research including theoretic developments, new computational algorithms, and multidisciplinary applications.

Special features of this volume:

- Presents results and approximation methods in various computational settings including: polynomial and orthogonal systems, analytic functions, and differential equations.

- Provides a historical overview of approximation theory and many of its subdisciplines;

- Contains new results from diverse areas of research spanning mathematics, engineering, and the computational sciences.

"Approximation and Computation" is intended for mathematicians and researchers focusing on approximation theory and numerical analysis, but can also be a valuable resource to students and researchers in the computational and applied sciences.

Editors and Affiliations

  • Dept. Computer Science, Purdue University, West Lafayette, USA

    Walter Gautschi

  • Dipto. Matematica, Università Basilicata, Potenza, Italy

    Giuseppe Mastroianni

  • Athens, Greece

    Themistocles M. Rassias

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access