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Approximate Properties of the Cesàro Means of Conjugate Trigonometric Fourier Series

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Abstract

Some approximate properties of the Cesàro means of conjugate trigonometric Fourier series are studied.

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References

  1. N. K. Bari and S. B. Stechkin, “Best approximations and differential properties of two conjugate functions,” Tr. Mosk. Mat. Obshch., 5, 483–522 (1956).

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  3. D. Makharadze, “Some local approximation properties of the Cesàro means of trigonometric Fourier series,” Proc. A. Razmadze Math. Inst., 151, 55–68 (2009).

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  4. A. Zygmund, Trigonometric Series, Vols. 1, 2, Cambridge Univ. Press, Cambridge (1959).

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Correspondence to D. Makharadze.

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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 90, Differential Equations and Mathematical Analysis, 2014.

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Makharadze, D. Approximate Properties of the Cesàro Means of Conjugate Trigonometric Fourier Series. J Math Sci 208, 648–654 (2015). https://doi.org/10.1007/s10958-015-2474-6

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  • DOI: https://doi.org/10.1007/s10958-015-2474-6

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