Vilenkin-Fejér Means and an Approximate Identity in Lebesgue Spaces

Lars-Erik Persson, George Tephnadze and Ferenc Weisz
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Lars-Erik Persson: UiT The Artic University of Norway
George Tephnadze: University of Georgia, School of Science and Technology
Ferenc Weisz: Eötvös Loránd University, Department of Numerical Analysis

Chapter Chapter 3 in Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series, 2022, pp 119-155 from Springer

Abstract: Abstract Fejér’s theorem shows that if one replaces ordinary summation by Fejér means σn, defined by σn f σ n f = : 1 n ∑ k = 1 n S k f , $$\displaystyle \sigma _nf=:\frac {1}{n}\sum _{k=1}^nS_kf, $$

Date: 2022
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DOI: 10.1007/978-3-031-14459-2_3

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