On some sequence spaces generated by - and -difference of infinite matrices.
On some topological properties of generalized difference sequence spaces.
On strong summability.
On summations on locally compact spaces
On the -continuity of real function. II.
On the decay rate of -lacunary series.
On the generalizations of two Ozeki's results
On the Numerical Evaluation of a Sum Involving Binomial Coefficients.
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
On the weak Borel property of methods of summation
Orlicz spaces connected with strong summability. III. On strong (..., ...)-summability.
Permanenz- und Taubersätze bei pV-Summierung.
Rate preservation of double sequences under - type transformation.
Regularity of “F” method of summability of sequences.
Remarks on a moment problem and a problem of perfection of power methods of limitation
Résurgence paramétrique et exponentielle petitesse de l'écart des séparatrices du pendule rapidement forcé
Henri Poincaré avait déjà remarqué que les variétés stable et instable du pendule perturbé, défini par l’hamiltonienne coïncident pas lorsque que le paramètre n’est pas nul, mais qu’on peut leur associer un même développement formel divergent en puissance de . Cette divergence est ici analysée au moyen de la récente théorie de la résurgence, et du calcul étranger qui permet de trouver un équivalent asymptotique de l’écart des deux variétés pour tendant vers zéro - du moins cela est-il montré...
Sčítání nekonečných řad pomocí integrálních transformací
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...