A challenging test for convergence accelerators: summation of a series with a special sign pattern.
A class of infinite series including terms of generalized sequences.
A Classical Olivier’s Theorem and Statistical Convergence
L. Olivier proved in 1827 the classical result about the speed of convergence to zero of the terms of a convergent series with positive and decreasing terms. We prove that this result remains true if we omit the monotonicity of the terms of the series when the limit operation is replaced by the statistical limit, or some generalizations of this concept.
A formula for calculation of metric dimension of converging sequences
Converging sequences in metric space have Hausdorff dimension zero, but their metric dimension (limit capacity, entropy dimension, box-counting dimension, Hausdorff dimension, Kolmogorov dimension, Minkowski dimension, Bouligand dimension, respectively) can be positive. Dimensions of such sequences are calculated using a different approach for each type. In this paper, a rather simple formula for (lower, upper) metric dimension of any sequence given by a differentiable convex function, is derived....
A General Extrapolation Algorithm.
A Generalized Orlicz-Pettis Theorem and Applications.
A later note on the relationships of numerical sequences.
A Mercerian theorem for slowly varying sequences.
A new extension of monotone sequences and its applications.
A New Method of Evaluating th Sums of ...(-1)k+1 k-2p, p = 1, 2, 3, ... and Related Series.
A New Sequence Space Defined by a Sequence of Orlicz Functions over -Normed Spaces
In this paper we introduce a new sequence space defined by a sequence of Orlicz functions and study some topological properties of this sequence space.
A Note on Lipschitz Classes.
A note on matrix summability and rates on convergence
A note on spaces of entire functions represented by Dirichlet series.
A note on the convergence of transfinite sequences
A note on the effectiveness of tests for the absolute convergence and divergence of infinite series
À propos d'un lemme de Tadeusz Ważewski
A recent note on the absolute Riesz summability factors.
A remark on a generalization of monotonic sequences.
A remark on a theorem of A. B. Németh regarding the convergence of sequences of linear operators on space C[a,b]