Interpolation Processes

Basic Theory and Applications

  • Giuseppe Mastroianni
  • Gradimir V. Milovanović

Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

About this book


The classical books on interpolation address numerous negative results, i.e., results on divergent interpolation processes, usually constructed over some equidistant systems of nodes. The authors present, with complete proofs, recent results on convergent interpolation processes, for trigonometric and algebraic polynomials of one real variable, not yet published in other textbooks and monographs on approximation theory and numerical mathematics. In this special, but fundamental and important field of real analysis the authors present the state of art. Some 500 references are cited, including many new results of the authors. Basic tools in this field (orthogonal polynomials, moduli of smoothness, K-functionals, etc.) as well as some selected applications in numerical integration, integral equations, moment-preserving approximation and summation of slowly convergent series are also given. Beside the basic properties of the classical orthogonal polynomials the book provides new results on nonclassical orthogonal polynomials including methods for their numerical construction.


Gaussian quadratures Integral equation Interpolation Sobolev space integral equations orthogonal polynomials polynomial approximation real analysis

Authors and affiliations

  • Giuseppe Mastroianni
    • 1
  • Gradimir V. Milovanović
    • 2
  1. 1.Dipartimento di MatematicaUniversità della BasilicataPotenzaItaly
  2. 2.Faculty of Computer SciencesMegatrend UniversityNovi BeogradSerbia

Bibliographic information