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Some Approximating Properties of n-Fold Cesàro Means of the Series \(\sigma _n \left[ {\text{f}} \right]\) and \(\bar \sigma _n \left[ {{\text{f,B}}} \right]\)

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Trigonometric Fourier Series and Their Conjugates

Part of the book series: Mathematics and Its Applications ((MAIA,volume 372))

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Abstract

In Chapter 4 of the first part, we have presented some results connected with approximating properties of Cesàro means of the series \(\sigma \left[ f \right]\) and \(\bar \sigma \left[ f \right]\). In this chapter, their multidimensional analogues are given. We have treated these items in [4], [5], [13, Ch. IV], [35], [46].

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© 1996 Kluwer Academic Publishers

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Zhizhiashvili, L. (1996). Some Approximating Properties of n-Fold Cesàro Means of the Series \(\sigma _n \left[ {\text{f}} \right]\) and \(\bar \sigma _n \left[ {{\text{f,B}}} \right]\). In: Trigonometric Fourier Series and Their Conjugates. Mathematics and Its Applications, vol 372. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0283-1_7

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  • DOI: https://doi.org/10.1007/978-94-009-0283-1_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6612-9

  • Online ISBN: 978-94-009-0283-1

  • eBook Packages: Springer Book Archive

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