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  • Book
  • © 2019

Topics in Classical and Modern Analysis

In Memory of Yingkang Hu

Birkhäuser
  • This book will appeal to anyone familiar with Yingkang Hu and his research in classical and numeric approximation theory
  • The volume covers a variety of areas in approximation theory, harmonic analysis and related fields
  • It also contains longer survey papers

Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xxiii
  2. Yingkang

    1. Front Matter

      Pages 1-18
    2. On Some Properties of Moduli of Smoothness with Jacobi Weights

      • Kirill A. Kopotun, Dany Leviatan, Igor A. Shevchuk
      Pages 19-31
  3. Approximation Theory, Harmonic and Complex Analysis, Splines and Classical Fourier Theory

    1. Front Matter

      Pages 33-33
    2. Comparison Theorems for Completely and Multiply Monotone Functions and Their Applications

      • Vladyslav Babenko, Yuliya Babenko, Oleg Kovalenko
      Pages 47-64
    3. Hankel Transforms of General Monotone Functions

      • Alberto Debernardi
      Pages 87-104
    4. Univalence of a Certain Quartic Function

      • Jimmy Dillies
      Pages 105-108
    5. Finding, Stabilizing, and Verifying Cycles of Nonlinear Dynamical Systems

      • Dmitriy Dmitrishin, Ionut E. Iacob, Ivan Skrinnik, Alex Stokolos
      Pages 109-125
    6. Finding Orbits of Functions Using Suffridge Polynomials

      • Dmitriy Dmitrishin, Paul Hagelstein, Alex Stokolos
      Pages 127-133
    7. The Lebesgue Constants of Fourier Partial Sums

      • Michael I. Ganzburg, Elijah Liflyand
      Pages 147-158
    8. Liouville–Weyl Derivatives of Double Trigonometric Series

      • Ainur Jumabayeva, Boris Simonov
      Pages 159-182
    9. On de Boor–Fix Type Functionals for Minimal Splines

      • Egor K. Kulikov, Anton A. Makarov
      Pages 211-225
    10. A Multidimensional Hardy–Littlewood Theorem

      • Elijah Liflyand, Ulrich Stadtmüller
      Pages 227-240
    11. Integral Identities for Polyanalytic Functions

      • Anastasiia Minenkova, Olga Trofimenko
      Pages 279-291

About this book

Different aspects of harmonic analysis, complex analysis, sampling theory, approximation theory and related topics are covered in this volume. The topics included are Fourier analysis, Padè approximation, dynamical systems and difference operators, splines, Christoffel functions, best approximation, discrepancy theory and Jackson-type theorems of approximation. The articles of this collection were originated from the International Conference in Approximation Theory, held in Savannah, GA in 2017, and organized by the editors of this volume.

Editors and Affiliations

  • Georgia Southern University, Statesboro, USA

    Martha Abell, Emil Iacob, Alex Stokolos, Sharon Taylor, Jiehua Zhu

  • ICREA, Passeig de Lluís Companys, Barcelona, Spain ; Centre de Recerca Matemàtica, Barcelona, Spain

    Sergey Tikhonov

Bibliographic Information

Buy it now

Buying options

eBook USD 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 129.99
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