Topics in Classical and Modern Analysis, 1st ed. 2019 In Memory of Yingkang Hu Applied and Numerical Harmonic Analysis Series

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 for Minimal Splines.- A Multidimensional Hardy–Littlewood Theorem.- The Spurious Side of DiagonalMultipoint 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.- Applied and Numerical Harmonic Analysis (94 volumes).

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