Sadulla JAFAROV

115208

Linear methods of summing Fourier series and approximation in weighted Orlicz spaces

In the present work, we investigate estimates of the deviations of the periodic functions from the linear operators constructed on the basis of its Fourier series in reflexive weighted Orlicz spaces with Muckenhoupt weights. In particular, the orders of approximation of Zygmund and Abel-Poisson means of Fourier trigonometric series were estimated by the $k-th$~modulus of smoothness in reflexive weighted Orlicz spaces with Muckenhoupt weights.

Keywords:

Boyd indices, weighted Orlicz space, Muckenhoupt weight, modulus of smoothness, Zygmund mean Abel-Poisson mean,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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