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On the strong convergence in some sequence spaces

100%

Waszak A.

Fasciculi Mathematici

2002

tom Nr 33

125-137

The purpose of this paper is to introduce and study an idea of lacunary strong (A,phi)-convergence with respect to a modulus function. In coures of these investigations we study some connections between (A, phi)-strong summability of sequences and lacunary strong convergence with respect to a modulus or lacunary statistical convergence.

An application of modular spaces to approximation problems, VII

100%

Stoiński S.

2000

tom Vol. 33, nr 4

805-814

An application of modular spaces to approximation problems, IX

88%

Stoiński S.

Fasciculi Mathematici

2002

tom Nr 33

89-97

By means of terms of a sequence (pn), where pn, n = l,2,..., are pseudomodulars, and by means of an infinite matrix A = [amn ] of non-negative numbers we shall construct the modular spaces XpAos' and Xp^os. Then we shall approximate elements of these spaces by means of terms of a sequence (p.), where p, i = l,2,..., are pseudomodulars. In particular, we will investigate the special cases when pn and pt are singular integrals.

Approximation with respect to a measure in a modular space, VI

75%

Stoiński S.

Fasciculi Mathematici

1999

tom Nr 29

125-131

Elements of a modular subspace of [...] are approximated by certain singular integrals.

On the generalized Nakano sequence space

75%

Sengonul M.

2007

tom Vol. 40, nr 4

885-893

The purpose of this note is to define and to investigate the generalized Nakano sequence space A(p) and to show that the sequence space A(p) eąuipped with the Luxemburg norm is rotund and posses property-H when p = (pk) is bounded with pk > 1 for all k is an element of N.