# The degree of approximation by Hausdorff means of a conjugate Fourier series

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2016)

- Volume: 70, Issue: 2
- ISSN: 0365-1029

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topSergiusz Kęska. "The degree of approximation by Hausdorff means of a conjugate Fourier series." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 70.2 (2016): null. <http://eudml.org/doc/289851>.

@article{SergiuszKęska2016,

abstract = {The purpose of this paper is to analyze the degree of approximation of a function $\overline\{f\}$ that is a conjugate of a function $f$ belonging to the Lipschitz class by Hausdorff means of a conjugate series of the Fourier series.},

author = {Sergiusz Kęska},

journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},

keywords = {Hausdorff matrix; conjugate series of the Fourier series; degree of approximation},

language = {eng},

number = {2},

pages = {null},

title = {The degree of approximation by Hausdorff means of a conjugate Fourier series},

url = {http://eudml.org/doc/289851},

volume = {70},

year = {2016},

}

TY - JOUR

AU - Sergiusz Kęska

TI - The degree of approximation by Hausdorff means of a conjugate Fourier series

JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

PY - 2016

VL - 70

IS - 2

SP - null

AB - The purpose of this paper is to analyze the degree of approximation of a function $\overline{f}$ that is a conjugate of a function $f$ belonging to the Lipschitz class by Hausdorff means of a conjugate series of the Fourier series.

LA - eng

KW - Hausdorff matrix; conjugate series of the Fourier series; degree of approximation

UR - http://eudml.org/doc/289851

ER -

## References

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- Jakimovski, A., The sequence-to-function analogues to Hausdorff transformations, Bulletin of the Research Council of Israel vol. 8, 1959 (1960).
- Kęska, S., A variant of the Hausdorff theorem for multi-index matrices II, Linear Algebra Appl. 327 (2001), 17-26.
- Lal, S., Approximation of conjugates of almost Lipschitz functions by matrix Cesaro summability method, Arab. J. Math. Sci. 10 (2) (2004), 54.
- Lal, S., Mishra, A., Euler-Hausdorff matrix summability operator and trigonometric approximation of the conjugate of a function belonging to the generalized Lipschitz class, J. Inequal. Appl. (2013), 2013:59.
- Privalov, I. I., Sur les fonctions conjuguees, Bull. Soc. Math. France 44 (1916), 100-103.
- Qureshi, K., On the degree of approximation of function belonging to the Lipschitz class by means of a conjugate series, Indian J. Pure Appl. Math. 12 (9) (1981), 1120-1123.
- Rhoades, B. E., Ozkoklu, Kevser, Albayrak, Inci, On the degree of approximation of functions belonging to a Lipschitz class by Hausdorff means of its Fourier series, Appl. Math. Comput. 217 (2011), 6868-6871.
- Toeplitz, O., Uber allgemeine lineare Mittelbildungen, Prace Matematyczno-Fizyczne 22 (1911), 111-119.

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