Sequences of Regular Summability Matrices.
Set-theoretic characteristics of summability of sequences and convergence of series
Shifted quadratic zeta series.
Solid summability fields
Some Characterizations Of Almost Convergence For Single And Double Sequences
Some generalisations on a scale of Abel type summability methods
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 strong (M,φ)-summability
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.
Součtový vzorec pro
Statistical convergence of a sequence of random variables and limit theorems
In this paper the ideas of three types of statistical convergence of a sequence of random variables, namely, statistical convergence in probability, statistical convergence in mean of order and statistical convergence in distribution are introduced and the interrelation among them is investigated. Also their certain basic properties are studied.
Statistical extensions of some classical Tauberian theorems in nondiscrete setting
Schmidt’s classical Tauberian theorem says that if a sequence of real numbers is summable (C,1) to a finite limit and slowly decreasing, then it converges to the same limit. In this paper, we prove a nondiscrete version of Schmidt’s theorem in the setting of statistical summability (C,1) of real-valued functions that are slowly decreasing on ℝ ₊. We prove another Tauberian theorem in the case of complex-valued functions that are slowly oscillating on ℝ ₊. In the proofs we make use of two nondiscrete...
Statistical limit point theorems.
Strict inclusion between strong and ordinary methods of summability.