Approximation by Fejér Sums of Fourier Trigonometric Series inWeighted Orlicz Spaces

Abstract

In this work we investigate the approximation problems of the functionsby Fej´er sums of Fourier series in the reflexive weighted Orlicz spaceswith Muckenhoupt weights and of the functions by Fej´er sums of Faberseries in weighted Smirnov-Orlicz classes defined on simply connecteddomains with a Dini-smooth boundary of the complex plane.

Keywords

• Orlicz space, weighted Orlicz space, Boyd indices, Muckenhoupt weight,Fej´er sums, weighted Smirnov-Orlicz class, Dini-smooth curve, Faber series.

Approximation by Fejér Sums of Fourier Trigonometric Series inWeighted Orlicz Spaces

Abstract

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Keywords

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References

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