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Springer International Publishing
Topics in Classical and Modern Analysis: In Memory of Yingkang Hu

Topics in Classical and Modern Analysis: In Memory of Yingkang Hu


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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.

Product Details

ISBN-13: 9783030122768
Publisher: Springer International Publishing
Publication date: 10/22/2019
Series: Applied and Numerical Harmonic Analysis
Edition description: 1st ed. 2019
Pages: 373
Product dimensions: 6.10(w) x 9.25(h) x (d)

Table of Contents

On a scientific life of Yingkang Hu.- Remembrances.- Comparison theorems for completely and multiply monotone functions and their applications.- Special difference operators and the constants in the classical Jackson–type theorems.- Hankel transforms of general monotone functions.- Concerning Exponential bases on multi-rectangles of Rsubd.- Finding, stabilizing, and verifying cycles of nonlinear dynamical systems.- The lebesgue constants of Fourier partial sums.- Liouville–Weyl derivatives of double trigonometric series.- On some properties of moduli of smoothness with Jacobi weights.- On de Boor-Fix type functionals for minimal splines.- A multidimensional Hardy-Littlewood theorem.- The spurious side of diagonal multipoint the spurious side of diagonal multipoint Pade 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|.- Fixed volume discrepancy in the periodic case.- Approximation in majorant Stechkin spaces.- On sampling of multivariable integral transform.

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