SOME $\lambda$--SEQUENCE SPACES DEFINED BY A MODULUS

Eberhard Malkowsky and Ekrem Savas

Address. E. Malkowsky, Department of Mathematics, University of Giessen, Arndtstrasse 2, D--35392 Giessen, GERMANY

E. Savas, Department of Mathematics, Y\"uz\"unc\"u Yil University, Van, TURKEY

E-mail: malkowsky@math.uni-giessen.de, esavas@ahtamara.yyu.edu.tr

Abstract. The main object of this paper is to introduce and study some sequence spaces which arise from the notation of generalized de la Vall\'{e}e--Poussin means and the concept of a modulus function.

AMSclassification. Primary: 40H05, 46A45; Secondary: 47B07

Keywords. FK, AK spaces, paranorm, modulus functions, almost convergence, statistical convergence, de la Vall\'{e}e--Poussin means