Jeden způsob sumace divergentních řad
Jednoduchý příklad dvojnásobné řady, která nepřipouští výměnu pořadu summačního
JOP's counting function and Jones' square function
We study a class of square functions in a general framework with applications to a variety of situations: samples along subsequences, averages of actions and of positive L¹ contractions. We also study the relationship between a counting function first introduced by Jamison, Orey and Pruitt, in a variety of situations, and the corresponding ergodic averages. We show that the maximal counting function is not dominated by the square functions.
Kettenwurzeln und Kettenoperationen.
Konvergenz von Teilen der harmonischen Reihe.
Köthe-Toeplitz Duals of some new Sequence Spaces and Their Matrix Maps
Kuttner's theorem for operators
La propriété de Banach Saks ne passe pas de à , d’après J. Bourgain
La réédition de l'œuvre majeure de Stieltjes
La théorie des séries de Nicole Oresme dans sa perspective aristotélicienne. ‘Questions 1 et 2 sur la Géométrie d’Euclide’
Oresme est connu, entre autres choses, pour avoir développé dans ses Questions sur la Géométrie d’Euclide une « théorie des séries », incluant la nature et la sommation des séries géométriques ainsi que la divergence de la série harmonique. Dans le présent article on se propose de voir en quel sens Oresme a réellement développé une théorie des séries, en situant cette théorie dans le cadre des conceptions mathématiques médiévales. Cette théorie peut être vue comme un approfondissement mathématique...
Laconicity and redundancy of Toeplitz matrices.
Lacunary almost summability in certain linear topological spaces.
Lacunary convergence of series in L0 revisited.
A simpler proof is given for the recent result of I. Labuda and the author that a series in the space L0 (lambda) is subseries convergent if each of its lacunary subseries converges.
Lacunary equi-statistical convergence of positive linear operators
In this paper, the concept of lacunary equi-statistical convergence is introduced and it is shown that lacunary equi-statistical convergence lies between lacunary statistical pointwise and lacunary statistical uniform convergence. Inclusion relations between equi-statistical and lacunary equi-statistical convergence are investigated and it is proved that, under some conditions, lacunary equi-statistical convergence and equi-statistical convergence are equivalent to each other. A Korovkin type approximation...
Lacunary statistical convergence and inclusion properties between lacunary methods.
Lacunary statistical convergence on probabilistic normed spaces.
Lacunary strong -convergence
The definition of lacunary strongly convergence is extended to the definition of lacunary strong -convergence with respect to invariant mean when is an infinite matrix and is a strictly positive sequence. We study some properties and inclusion relations.
Lacunary strong convergence with respect to a sequence of modulus functions
The definition of lacunary strong convergence is extended to a definition of lacunary strong convergence with respect to a sequence of modulus functions in a Banach space. We study some connections between lacunary statistical convergence and lacunary strong convergence with respect to a sequence of modulus functions in a Banach space.
Lacunary weak statistical convergence
The aim of this work is to generalize lacunary statistical convergence to weak lacunary statistical convergence and -convergence to weak -convergence. We start by defining weak lacunary statistically convergent and weak lacunary Cauchy sequence. We find a connection between weak lacunary statistical convergence and weak statistical convergence.
Le prolongement analytique et les séries sommables