Approximation by Fejér Sums of Fourier Trigonometric Series inWeighted Orlicz Spaces

Authors : Sadulla Z. Jafarov

Pages : 259-268

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Publication Date : 2013-03-01

Article Type : Other Papers

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