Glasnik Matematicki, Vol. 45, No.2 (2010), 461-474.

THE PROPERTIES OF CONVOLUTION TYPE TRANSFORMS IN WEIGHTED ORLICZ SPACES

Yunus E. Yildirir and Daniyal M. Israfilov

Department of Mathematics, Faculty of Art and Science, Balikesir University, 10145 Balikesir, Turkey
e-mail: mdaniyal@balikesir.edu.tr

Abstract.   In the weighted Orlicz spaces a convolution type transform is defined and a relation between this transform and the best approximation by trigonometric polynomials in the weighted Orlicz spaces is obtained.

2000 Mathematics Subject Classification.   41A10, 42A10.

Key words and phrases.   Convolution type transform, weighted Orlicz space, best approximation.

DOI: 10.3336/gm.45.2.13

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