On the -continuity of real function. II.
On the generalizations of two Ozeki's results
On the statistical and σ-cores
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.
On the Summability of Subsequences
Permanenz- und Taubersätze bei pV-Summierung.
Rate preservation of double sequences under - type transformation.
Sequences of 0's and 1's
We investigate the extent to which sequence spaces are determined by the sequences of 0's and 1's that they contain.
Sequences of 0's and 1's: sequence spaces with the separable Hahn property
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...
Sequences of Regular Summability Matrices.
Set-theoretic characteristics of summability of sequences and convergence of series
Solid summability fields
Some Characterizations Of Almost Convergence For Single And Double Sequences
Some inclusion theorems for absolute summability
Some Mazur-Orlicz-Brudno like theorems
Some Mercerian Theorems For Regularly Varying Sequences
Some new sequence spaces defined by a modulus function
Some remarks on the structure of the applicability domains of matrix operators and methods.
Some sequence spaces and statistical convergence.
Some spaces of lacunary convergent sequences defined by Orlicz functions.
Some Summability Invariants.