Topics in Classical and Modern Analysis : In Memory of Yingkang Hu. 1st ed. 2019

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電子ブック

責任表示:

edited by Martha Abell, Emil Iacob, Alex Stokolos, Sharon Taylor, Sergey Tikhonov, Jiehua Zhu

出版情報:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2019

著者名:

Abell, Martha.

Iacob, Emil.

Stokolos, Alex.

Taylor, Sharon.

Tikhonov, Sergey.

Zhu, Jiehua.

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シリーズ名:

Applied and Numerical Harmonic Analysis ;

ISBN:

9783030122775 [3030122778]    

注記:

Part I Yingkang: Remembering Professor Yingkang Hu -- Remembrances -- On Some Properties of Moduli of Smoothness with JacobiWeights -- Part II Approximation Theory, Harmonic and Complex Analysis, Splines and Classical Fourier Theory -- Special Difference Operators and the Constants in the Classical Jackson-Type Theorems -- Comparison Theorems for Completely and Multiply Monotone Functions and Their Applications -- Concerning Exponential Bases on Multi-Rectangles of Rd -- Hankel Transforms of General Monotone Functions -- Univalence of a Certain Quartic Function -- Finding, Stabilizing, and Verifying Cycles of Nonlinear Dynamical Systems -- Finding Orbits of Functions Using Suffridge Polynomials -- The Sharp Remez-Type Inequality for Even Trigonometric Polynomials on the Period -- The Lebesgue Constants of Fourier Partial Sums -- Liouville–Weyl Derivatives of Double Trigonometric Series -- Inequalities in Approximation Theory Involving Fractional Smoothness in Lp, 0 < p < 1 -- On de Boor–Fix Type Functionals f
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.

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