Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

Topics in Classical and Modern Analysis

In Memory of Yingkang Hu

  • Book
  • © 2019

Overview

Editors:
  1. Martha Abell

    1. Georgia Southern University, Statesboro, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Emil Iacob

    1. Georgia Southern University, Statesboro, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Alex Stokolos

    1. Georgia Southern University, Statesboro, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  4. Sharon Taylor

    1. Georgia Southern University, Statesboro, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  5. Sergey Tikhonov

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

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  6. Jiehua Zhu

    1. Georgia Southern University, Statesboro, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
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

Licence this eBook for your library

Institutional subscriptions

Table of contents (22 chapters)

  1. Front Matter

    Pages i-xxiii
    Download chapter PDF

  2. Yingkang

    1. Front Matter

      Pages 1-18
      Download chapter PDF

    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
      Download chapter PDF

    2. Special Difference Operators and the Constants in the Classical Jackson-Type Theorems

      • Alexander G. Babenko, Yuriy V. Kryakin
      Pages 35-46

    3. Comparison Theorems for Completely and Multiply Monotone Functions and Their Applications

      • Vladyslav Babenko, Yuliya Babenko, Oleg Kovalenko
      Pages 47-64

    4. Concerning Exponential Bases on Multi-Rectangles of \(\boldsymbol {\mathbb {R}^d}\)

      • Laura De Carli
      Pages 65-85

    5. Hankel Transforms of General Monotone Functions

      • Alberto Debernardi
      Pages 87-104

    6. Univalence of a Certain Quartic Function

      • Jimmy Dillies
      Pages 105-108

    7. Finding, Stabilizing, and Verifying Cycles of Nonlinear Dynamical Systems

      • Dmitriy Dmitrishin, Ionut E. Iacob, Ivan Skrinnik, Alex Stokolos
      Pages 109-125

    8. Finding Orbits of Functions Using Suffridge Polynomials

      • Dmitriy Dmitrishin, Paul Hagelstein, Alex Stokolos
      Pages 127-133

    9. The Sharp Remez-Type Inequality for Even Trigonometric Polynomials on the Period

      • Tamás Erdélyi
      Pages 135-145

    10. The Lebesgue Constants of Fourier Partial Sums

      • Michael I. Ganzburg, Elijah Liflyand
      Pages 147-158

    11. Liouville–Weyl Derivatives of Double Trigonometric Series

      • Ainur Jumabayeva, Boris Simonov
      Pages 159-182

    12. Inequalities in Approximation Theory Involving Fractional Smoothness in L p, 0 < p < 1

      • Yurii Kolomoitsev, Tetiana Lomako
      Pages 183-209

    13. On de Boor–Fix Type Functionals for Minimal Splines

      • Egor K. Kulikov, Anton A. Makarov
      Pages 211-225

    14. A Multidimensional Hardy–Littlewood Theorem

      • Elijah Liflyand, Ulrich Stadtmüller
      Pages 227-240

    15. The Spurious Side of Diagonal Multipoint Padé Approximants

      • Doron S. Lubinsky
      Pages 241-259

    16. Spline Summability of Cardinal Sine Series and the Bernstein Class

      • Wolodymyr R. Madych
      Pages 261-278

    17. Integral Identities for Polyanalytic Functions

      • Anastasiia Minenkova, Olga Trofimenko
      Pages 279-291
Back to top

Keywords

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

Publish with us

Policies and ethics

Back to top

Search

Navigation