Glasnik matematički, Vol. 47 No. 2, 2012.
Original scientific paper
https://doi.org/10.3336/gm.47.2.13
Approximation of periodic functions in weighted Orlicz spaces
Yunus E. Yildirir
; Department of Mathematics, Faculty of Education, Balikesir University, 10100, Balikesir, Turkey
Abstract
In the present work we prove some direct theorems of the approximation theory in the weighted Orlicz spaces with weights satisfying so called Muckenhoupt's condition and we obtain some estimates for the deviation of a function in the weighted Orlicz spaces from the linear operators constructed on the basis of its Fourier series.
Keywords
Direct theorem; weighted Orlicz space; Muckenhoupt weight; modulus of smoothness
Hrčak ID:
93953
URI
Publication date:
19.12.2012.
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