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Degree of Approximation of Functions of Class $Zyg^{\omega}(\alpha,\gamma)$ by Cesaro means of Fourier series
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In this paper, we investigate the degreeof approximation of a function $f$ belonging to the generalizedZygmund class $Zyg^{\omega}(\alpha,\gamma)$ by Cesaro means of itsFourier series.
Abstract
In this paper, we investigate the degreeof approximation of a function $f$ belonging to the generalizedZygmund class $Zyg^{\omega}(\alpha,\gamma)$ by Cesaro means of itsFourier series.
참고문헌 (10)
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- Lal, S., "Approximation of functions of class Lip(α, r),(r ≥ 1), by (N, pn)(E, 1) summability means of Fourier series", Tamkang J. Math, 45, pp.243~250 (2014)
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- Moricz, F, "Enlarged Lipschitz and Zygmund classes of functions and Fourier transfor-mations", East J. Approx, 16(3), pp.259~271 (2010)
- Moricz, F., "Generalized Zygmund classes of functions and strong ap-proximation by Fourier series", Acta Sci. Math, 73(3-4), pp.637~647 (2007)
- Titchmarsh, E.C, "Theory of Functions" (1939), Oxford Univ. Press
- Zygmund, A, "Trigonometric Series, Vol. 1" (1959), Cambridge Univ. Press
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