Nonlinear Integral Operators and Applications /

Nonlinear Integral Operators and Applications / / Carlo Bardaro, Julian Musielak, Gianluca Vinti.

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In 1903 Fredholm published his famous paper on integral equations. Since then linear integral operators have become an important tool in many areas, including the theory of Fourier series and Fourier integrals, approximation theory and summability theory, and the theory of integral and differential...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications
VerfasserIn:
Bardaro, Carlo,
Musielak, Julian,
Vinti, Gianluca,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2008]
©2003
Year of Publication:2008
Language:English
Series:De Gruyter Series in Nonlinear Analysis and Applications , 9
Online Access:
Physical Description:1 online resource (201 p.)
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Table of Contents:
  • Frontmatter
  • Contents
  • Chapter 1. Kernel functionals and modular
  • spaces
  • Chapter 2. Absolutely continuous modulars and
  • moduli of continuity
  • Chapter 3. Approximation by convolution type
  • operators
  • Chapter 4. Urysohn integral operators with
  • homogeneous kernel functions. Applications to nonlinear Mellin-type
  • convolution operators
  • Chapter 5. Summability methods by convolution-type
  • operators
  • Chapter 6. Nonlinear integral operators in the
  • space BVϕ
  • Chapter 7. Application to nonlinear integral
  • equations
  • Chapter 8. Uniform approximation by sampling type
  • operators. Applications in signal analysis
  • Chapter 9. Modular approximation by sampling type
  • operators
  • Backmatter

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