A self-indexed sequence.
A sequence considered by I. J. Schoenberg?
A sequential iteration algorithm with non-monotoneous behaviour in the method of projections onto convex sets
The method of projections onto convex sets to find a point in the intersection of a finite number of closed convex sets in a Euclidean space, may lead to slow convergence of the constructed sequence when that sequence enters some narrow “corridor” between two or more convex sets. A way to leave such corridor consists in taking a big step at different moments during the iteration, because in that way the monotoneous behaviour that is responsible for the slow convergence may be interrupted. In this...
A series transformation formula and related polynomials.
A series whose sum range is an arbitrary finite set
In finite-dimensional spaces the sum range of a series has to be an affine subspace. It has long been known that this is not the case in infinite-dimensional Banach spaces. In particular in 1984 M. I. Kadets and K. Woźniakowski obtained an example of a series whose sum range consisted of two points, and asked whether it was possible to obtain more than two, but finitely many points. This paper answers this question affirmatively, by showing how to obtain an arbitrary finite set as the sum range...
A sharp double inequality for sums of powers.
A short proof of a result of Kogbetliantz on the positivity of certain Cesàro means.
A simple solution to Basel problem.
A simplified formula for calculation of metric dimension of converging sequences
A strong version of Poisson summation.
A strong-Riesz mean-value theorem with applications to summability factor theorems.
A study of some new absolute summability methods.
A study on almost increasing sequences.
A summability approximation theorem for Taylor series of meromorphic functions.
A summability factor theorem for absolute summability involving almost increasing sequences.
A summability factor theorem for quasi-power-increasing sequences.
A summability integral.
A survey of certain results on strong approximation by orthogonal series
This is a survey of results in a particular direction of the theory of strong approximation by orthogonal series, related mostly with author's contributions to the subject.
A Tauberian Remainder Theorem with Applications to Lambert Summability.
A Tauberian theorem for Abelian summability methods.