Some properties of the -method of summability in complete ultrametric fields
Some regularity properties of algorithms and additive functions with respect to them.
Some remarks on -faster convergent infinite series
A structure of terms of -faster convergent series is studied in the paper. Necessary and sufficient conditions for the existence of -faster convergent series with different types of their terms are proved. Some consequences are discussed.
Some remarks on strong approximation by Cesàro means
Some remarks on strong (M,φ)-summability
Some remarks on the structure of the applicability domains of matrix operators and methods.
Some results on convergence acceleration for the E-algorithm
Some new results on convergence acceleration for the E-algorithm which is a general extrapolation method are obtained. A technique for avoiding numerical instability is proposed. Some applications are given. Theoretical results are illustrated by numerical experiments
Some sequence spaces and statistical convergence.
Some sequence spaces defined by a modulus
Some sequence spaces defined by Orlicz functions
In this paper we introduce a new concept of -strong convergence with respect to an Orlicz function and examine some properties of the resulting sequence spaces. It is also shown that if a sequence is -strongly convergent with respect to an Orlicz function then it is -statistically convergent.
Some spaces of lacunary convergent sequences defined by Orlicz functions.
Some statistically convergent difference sequence spaces defined over real 2-normed linear spaces.
Some stochastic comparison results for series and parallel systems with heterogeneous Pareto type components
We focus on stochastic comparisons of lifetimes of series and parallel systems consisting of independent and heterogeneous new Pareto type components. Sufficient conditions involving majorization type partial orders are provided to obtain stochastic comparisons in terms of various magnitude and dispersive orderings which include usual stochastic order, hazard rate order, dispersive order and right spread order. The usual stochastic order of lifetimes of series systems with possibly different scale...
Some Summability Invariants.
Some Tauberian theorems for Euler and Borel summability.
Some Tauberian Theorems for the Circle Family of Summability Methods.
Some Tauberian theorems on summability methods of integrals
Some Tauberian theorems related to operator theory
This article is a survey of some Tauberian theorems obtained recently in connection with work on asymptotic behaviour of semigroups of operators on Banach spaces. The results in operator theory are described in [6], where we made little attempt to show the Tauberian aspects. At the end of this article, we will give a sketch of the connections between the results in this article and in [6]; for details, the reader can turn to the original papers. In this article, we make no attempt to describe...
Some -sequence spaces defined by a modulus
The main object of this paper is to introduce and study some sequence spaces which arise from the notation of generalized de la Vallée–Poussin means and the concept of a modulus function.
Sommation de certains développements