On the -continuity of real function. II.
Jozef Antoni (1986)
Mathematica Slovaca
J. E. Pečarić (1982)
Matematički Vesnik
Hüsamettın Çoşkun, Celal Çakan, Mursaleen (2003)
Studia Mathematica
In [11] and [7], the concepts of σ-core and statistical core of a bounded number sequence x have been introduced and also some inequalities which are analogues of Knopp’s core theorem have been proved. In this paper, we characterize the matrices of the class and determine necessary and sufficient conditions for a matrix A to satisfy σ-core(Ax) ⊆ st-core(x) for all x ∈ m.
Jozef Antoni (1971)
Matematický časopis
Hubert Tietz (1973)
Journal für die reine und angewandte Mathematik
Patterson, Richard F. (2002)
International Journal of Mathematics and Mathematical Sciences
Grahame Bennett, Johann Boos, Toivo Leiger (2002)
Studia Mathematica
We investigate the extent to which sequence spaces are determined by the sequences of 0's and 1's that they contain.
Maria Zeltser (2007)
Studia Mathematica
In [3] it was discovered that one of the main results in [1] (Theorem 5.2), applied to three spaces, contains a nontrivial gap in the argument, but neither the gap was closed nor a counterexample was provided. In [4] the authors verified that all three above mentioned applications of the theorem are true and stated a problem concerning the topological structure of one of these three spaces. In this paper we answer the problem and give a counterexample to the theorem in doubt. Also we establish a...
C. Goffman, G.N. Wollan (1972)
Monatshefte für Mathematik
Peter Vojtáš (1987)
Commentationes Mathematicae Universitatis Carolinae
Ivor J. Maddox (1992)
Mathematica Slovaca
F. Móricz, B. E. Rhoades (1990)
Publications de l'Institut Mathématique
Cihan Orhan, Ö. Çakar (1996)
Czechoslovak Mathematical Journal
J. Tzimbalari (1973)
Studia Mathematica
Shimshon Zimering (1973)
Publications de l'Institut Mathématique
Ayhan Esi (1999)
Mathematica Slovaca
M.G. Lazic (1974)
Publications de l'Institut Mathématique [Elektronische Ressource]
Savaş, E. (2002)
International Journal of Mathematics and Mathematical Sciences
Chishti, T.A. (2005)
Novi Sad Journal of Mathematics
W. Beekmann, Shao-Chien Chang (1980)
Manuscripta mathematica