Showing papers in "Filomat in 2005"
TL;DR: In this paper, the authors introduce a new concept for almost lacunary strong P-convergent with respect to an Orlicz function and examine some properties of the resulting sequence space.
Abstract: In this paper we introduce a new concept for almost lacu- nary strong P-convergent with respect to an Orlicz function and examine some properties of the resulting sequence space. We also introduce and study almost lacunary statistical convergence for double sequences and we shall also present some inclusion theorems.
49 citations
TL;DR: In this article, the results of [1, Theorems 2.2 and 2.3] and [15, Theorem 3] are improved by removing the assumptions of continuity and reciprocally continuity, relaxing compatibility and compatibility of type (A) to weakly compatibility and replacing the completeness of the space with a set of four alternative conditions for four mappings satisfying an implicit relation.
Abstract: In this paper, using a combination of methods used in [5], [14], [15] and [17] the results of [1, Theorems 2.2 and 2.3] and [15, Theorem 3] are improved by removing the assumptions of continuity and reciprocally continuity, relaxing compatibility and compatibility of type (A) to weakly compatibility and replacing the completeness of the space with a set of four alternative conditions for four mappings satisfying an implicit relation.
35 citations
TL;DR: Range-kernel orthogonal is set in a context of skew exactness, in particular for elementary operators on bimodules.
Abstract: Range-kernel orthogonal is set in a context of skew exactness, in particular for elementary operators on bimodules.
5 citations
TL;DR: In this article, new results concerning the measure of non-compactness in convex metric spaces are presented, where the measure is defined as a measure of convexity.
Abstract: In this paper new results concerning the measure of non-compactness in convex metric spaces are presented.
3 citations
TL;DR: A generalisation of Kurepa's inequality in inner product spaces that extends in its turn the de Bruijn refinement of the Cauchy- Buniakovsky-Schwarz inequality for sequences of real and complex num- bers is given in this article.
Abstract: A generalisation of Kurepa's inequality in inner product spaces that extends in its turn the de Bruijn refinement of the Cauchy- Buniakovsky-Schwarz inequality for sequences of real and complex num- bers is given.
1 citations