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### A bounded consistency theorem for strong summabilities.

International Journal of Mathematics and Mathematical Sciences

Semigroup forum

### A new class of sequence spaces with applications in summability theory.

Journal für die reine und angewandte Mathematik

### A new proof of multisummability of formal solutions of non linear meromorphic differential equations

Annales de l'institut Fourier

We give a new proof of multisummability of formal power series solutions of a non linear meromorphic differential equation. We use the recent Malgrange-Ramis definition of multisummability. The first proof of the main result is due to B. Braaksma. Our method of proof is very different: Braaksma used Écalle definition of multisummability and Laplace transform. Starting from a preliminary normal form of the differential equation$x\frac{d\stackrel{\to }{y}}{dx}={\stackrel{\to }{G}}_{0}\left(x\right)+\left[\lambda \left(x\right)+{A}_{0}\right]\stackrel{\to }{y}+{x}^{\mu }\stackrel{\to }{G}\left(x,\stackrel{\to }{y}\right),$the idea of our proof is to interpret a formal power series solution...

### A note on Köthe-Toeplitz duals of certain sequence spaces and their matrix transformations.

International Journal of Mathematics and Mathematical Sciences

### A summability integral.

Journal für die reine und angewandte Mathematik

### Absolute and Ordinary Köthe-Toeplitz Duals of Some Sets of Sequences and Matrix Transformations

Publications de l'Institut Mathématique

### Addendum to: "Sequences of 0's and 1's" (Studia Math. 149 (2002), 75-99)

Studia Mathematica

There is a nontrivial gap in the proof of Theorem 5.2 of  which is one of the main results of that paper and has been applied three times (cf. [2, Theorem 5.3, (G) in Section 6, Theorem 6.4]). Till now neither the gap has been closed nor a counterexample found. The aim of this paper is to give, by means of some general results, a better understanding of the gap. The proofs that the applications hold will be given elsewhere.

### An example of nonlinear $q$-difference equation

Annales de la Faculté des sciences de Toulouse : Mathématiques

### An extension of Brudno-Mazur-Orlicz theorem

Studia Mathematica

### An Extension of Cauchy's Criterion to Nörlund Summability.

Mathematische Zeitschrift

Zbornik Radova

### Asymptotic properties of convolution products of sequences.

Publications de l'Institut Mathématique [Elektronische Ressource]

### Best order conditions in linear spaces, with applications to limitation, inclusion and high indices theorems for ordinary and absolute Riesz means

Studia Mathematica

### Bounded variation sequences of order k and the representation of null sequences.

Journal für die reine und angewandte Mathematik

### Calculations in new sequence spaces

Archivum Mathematicum

In this paper we define new sequence spaces using the concepts of strong summability and boundedness of index $p>0$ of $r$-th order difference sequences. We establish sufficient conditions for these spaces to reduce to certain spaces of null and bounded sequences.

### Characterization of certain matrix classes involving generalized difference summability spaces.

APPS. Applied Sciences

### Degrés de liberté des moyennes de convolution préservant la réalité

Annales de la Faculté des sciences de Toulouse : Mathématiques

### Difference sequence spaces.

International Journal of Mathematics and Mathematical Sciences

### Distinguished subsets and summability invariants

Studia Mathematica

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