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

• Autorzy: Musielak A.
• Języki publikacji: EN

Abstrakty

EN

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 .

Słowa kluczowe

EN

modulus of continuity; one-sided trigonometric approximation; modular; modular function space; direct approximation theorem

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 1999
• Tom: [Z] 39
• Strony: 127--138
• Opis fizyczny: bibliogr. 6 poz.

Twórcy

autor

Musielak A.

• Institute of Mathematics, Technical University Poznań ul. Piotrowo 3a 60-138 Poznań