Approximation by Fejér Sums of Fourier Trigonometric Series inWeighted Orlicz Spaces

Yıl 2013, Cilt: 42 Sayı: 3, 259 - 268, 01.03.2013

Sadulla Z. Jafarov

Öz

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.

Anahtar Kelimeler

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

Öz

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Anahtar Kelimeler

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Kaynakça

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