Maps preserving convergence of series
Matrix characterization of oscillation for double sequences
The notion of oscillation for ordinary sequences was presented by Hurwitz in 1930. Using this notion Agnew and Hurwitz presented regular matrix characterization of the resulting sequence space. The primary goal of this article is to extend this definition to double sequences, which grants us the following definition: the double oscillation of a double sequence of real or complex number is given P-lim sup(m,n)→∞;(α,β)→∞|S m,n-S α,β|. Using this concept a matrix characterization of double oscillation...
Matrix continued fractions related to first-order linear recurrence systems.
Matrix Transormations of Almost Convergent Sequenes. II.
Measure and category---some non-analogues.
Mediations on the product rule.
Mémoire sur les développements en fractions continues de la fonction exponentielle, pouvant servir d'introduction à la théorie des fractions continues algébriques
Mercerian and Tauberian Theorems for Differences.
Méthode directe pour calculer la somme des puissances des premiers nombres entiers
Méthode directe pour calculer la somme des puissances des premiers nombres entiers
Monoides et semi-anneaux complets.
Monoides et semi-anneaux continus.
Monotonicity of segments of harmonic series ( I )
Monotonicity properties of the relative error of a Padé approximation for Mills' ratio.
Multigeometric sequences and Cantorvals
For a sequence x ∈ l 10, one can consider the achievement set E(x) of all subsums of series Σn=1∞ x(n). It is known that E(x) has one of the following structures: a finite union of closed intervals, a set homeomorphic to the Cantor set, a set homeomorphic to the set T of subsums of Σn=1∞ x(n) where c(2n − 1) = 3/4n and c(2n) = 2/4n (Cantorval). Based on ideas of Jones and Velleman [Jones R., Achievement sets of sequences, Amer. Math. Monthly, 2011, 118(6), 508–521] and Guthrie and Nymann [Guthrie...