Methods of Summability of Fourier Series. Moduli of Smoothness and K-Functionals

Roald M. Trigub and Eduard S. Bellinsky
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Roald M. Trigub: Donetsk National University
Eduard S. Bellinsky: University of West Indies

Chapter Chapter 8 in Fourier Analysis and Approximation of Functions, 2004, pp 349-391 from Springer

Abstract: Abstract In this chapter general results on multipliers (Chapter 7) and sufficient conditions for representing a function as the Fourier transform (Chapter 6) are applied (Section 8.1) to the study of regularity (in one or another sense) of summability methods of simple and multiple Fourier series (classical and nonclassical), to defining exact rate of approximation of an individual function (Sections 8.2 – 8.4) via moduli of smoothness (defined in a special way for the multiple case and for p

Keywords: Fourier Series; Algebraic Number; Comparison Principle; Summability Method; Lebesgue Point (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4020-2876-2_8

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DOI: 10.1007/978-1-4020-2876-2_8

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