Abell M., Iacob E., Stokolos A., Taylor S., Tikhonov S., Zhu J. (Eds.) Topics in Classical and Modern Analysis: In Memory of Yingkang Hu

Springer, 2019. — 384 p. — (Applied and Numerical Harmonic Analysis). — ISBN: 978-3-030-12276-8.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.On Some Properties of Moduli of Smoothness with Jacobi Weights
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 L p, 0 < p < 1
On de Boor–Fix Type Functionals for Minimal Splines
A Multidimensional Hardy–Littlewood Theorem
The Spurious Side of Diagonal Multipoint Padé Approximants
Spline Summability of Cardinal Sine Series and the Bernstein Class
Integral Identities for Polyanalytic Functions
Pointwise Behavior of Christoffel Function on Planar Convex Domains
Towards Best Approximations for |x|α
Fixed Volume Discrepancy in the Periodic Case
Approximation by Trigonometric Polynomials in Stechkin Majorant Spaces
On Multivariate Sampling of a Class of Integral Transforms