Encadrement de la fonction sommatoire des inverses des termes d'une progression arithmétique
Equiconvergence theorems for Laguerre series
The Szegö equiconvergence theorem for the Laguerre series is improved. In particular, a system of exact sufficient conditions is given.
Ergodic theory and connections with analysis and probability.
Erratum to "Algebraic and topological properties of some sets in ℓ₁" (Colloq. Math. 129 (2012), 75-85)
Estimating the sequence of real binomial coefficients.
Evaluations of some variant Euler sums.
Exponente de convergencia generalizado de una sucesión compleja.
Exponential inequalities for a class of operators.
Extended Real-Valued Double Sequence and Its Convergence
In this article we introduce the convergence of extended realvalued double sequences [16], [17]. It is similar to our previous articles [15], [10]. In addition, we also prove Fatou’s lemma and the monotone convergence theorem for double sequences.
Extending the ideal of nowhere dense subsets of rationals to a P-ideal
We show that the ideal of nowhere dense subsets of rationals cannot be extended to an analytic P-ideal, ideal nor maximal P-ideal. We also consider a problem of extendability to a non-meager P-ideals (in particular, to maximal P-ideals).
Extremal -limit points of double sequences.
Factorization of inequalities.
F-Normalreihen.
Four dimensional matrix characterization of double oscillation via RH-conservative and RH-multiplicative matrices
In 1939 Agnew presented a series of conditions that characterized the oscillation of ordinary sequences using ordinary square conservative matrices and square multiplicative matrices. The goal of this paper is to present multidimensional analogues of Agnew’s results. To accomplish this goal we begin by presenting a notion for double oscillating sequences. Using this notion along with square RH-conservative matrices and square RH-multiplicative matrices, we will present a series of characterization...
Generalized Analytic and Quasi-Analytic Vectors
For every sequence (aₙ) of positive real numbers and an operator acting in a Banach space, we introduce the families of (aₙ)-analytic and (aₙ)-quasi-analytic vectors. We prove various properties of these families.
Generalized Cesàro Numbers
Grundlagen für eine Theorie der Functionen einer veränderlichen rellen Grösse [Book]
Holomorphic extensions of formal objects
We are interested on families of formal power series in parameterized by (). If every is a polynomial whose degree is bounded by a linear function ( for some and ) then the family is either convergent or the series for all except a pluri-polar set. Generalizations of these results are provided for formal objects associated to germs of diffeomorphism (formal power series, formal meromorphic functions, etc.). We are interested on describing the nature of the set of parameters where...
and -convergence in topological spaces
We extend the idea of -convergence and -convergence of sequences to a topological space and derive several basic properties of these concepts in the topological space.
Infinite matrices and absolute almost convergence.