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2 Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2 Musielak A.

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On one-sided trigonometric approximation in modular function spaces. II

Musielak A.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2000

[Z] 40

139-145

There is proved the converse approximation theorem on one-sided trigonometric approximation of functions f from the modular space L^p_2Pi.

On one-sided trigonometric approximation in modular function spaces. I

Musielak A.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

1999

[Z] 39

127-138

The purpose of this paper is to obtain the direct approximation theorems on one-sided approximation of 2(pi)-periodic functions f from a modular function space of 2(pi)- periodic functions by means of trigonometric polynomials of a given degree in the sense of the Luxemburg norm || || generated by a discretely convex modular .