Displaying similar documents to “Countably modulared spaces”

Approximation problems in modular spaces of double sequences.

Aleksander Waszak (1990)

Publicacions Matemàtiques

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Let X denote the space of all real, bounded double sequences, and let Φ, φ, Γ be φ-functions. Moreover, let Ψ be an increasing, continuous function for u ≥ 0 such that Ψ(0) = 0. In this paper we consider some spaces of double sequences provided with two-modular structure given by generalized variations and the translation operator (...).

Sequence spaces generated by moduli of smoothness.

J. Musielak, A. Waszak (1995)

Revista Matemática de la Universidad Complutense de Madrid

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There are defined sequential moduli in the remainder form for real sequences. Properties of sequence spaces generated by means of the above moduli are investigated.