The maximal solution of a restricted subadditive inequality in numerical analysis.
The moments of infinite series.
The QD-Algorithm and Multivariate Padé-Approximants.
The Rate of Convergence of Newtons' Process.
The reaping and splitting numbers of nice ideals
We examine the splitting number (B) and the reaping number (B) of quotient Boolean algebras B = (ω)/ℐ where ℐ is an ideal or an analytic P-ideal. For instance we prove that under Martin’s Axiom ((ω)/ℐ) = for all ideals ℐ and for all analytic P-ideals ℐ with the BW property (and one cannot drop the BW assumption). On the other hand under Martin’s Axiom ((ω)/ℐ) = for all ideals and all analytic P-ideals ℐ (in this case we do not need the BW property). We also provide applications of these characteristics...
The Riemann theorem and divergent permutations
In this paper the fundamental algebraic propeties of convergent and divergent permutations of ℕ are presented. A permutation p of ℕ is said to be divergent if at least one conditionally convergent series of real terms is rearranged by p to a divergent series . All other permutations of ℕ are called convergent. Some generalizations of the Riemann theorem about the set of limit points of the partial sums of rearrangements of a given conditionally convergent series are also studied.
The Riesz Aspects of χ2 Sequence Spaces
The Schur Lemma for Bounded Multiplier Convergent Series:
The splitting number can be smaller than the matrix chaos number
Let χ be the minimum cardinality of a subset of that cannot be made convergent by multiplication with a single Toeplitz matrix. By an application of a creature forcing we show that < χ is consistent. We thus answer a question by Vojtáš. We give two kinds of models for the strict inequality. The first is the combination of an ℵ₂-iteration of some proper forcing with adding ℵ₁ random reals. The second kind of models is obtained by adding δ random reals to a model of for some δ ∈ [ℵ₁,κ). It...
The topological structure of the set of subsums of an infinite series
The Weierstrass Mean. I. The periods of ...(z|e1, e2, e3).
Theorie und Anwendung der unendlichen Reihen [Book]
Three open problems and a conjecture
In this paper we solve three open problems and a conjecture related to the calculations of some classes of multiple series posed by Furdui in [1].
Toeplitz Arrays, Linear Sequence Transformations and Orthogonal Polynomials.
Topological duals of some paranormed sequence spaces.
Transformación compuesta vectorial de sucesiones.
Translativity of absolute weighted mean summability
In this paper, we give necessary and sufficient conditions on for , , to be translative. So we extend the known results of Al-Madi [1] and Cesco to the case .
Truncation Error Analysis by Means of Approximant Systems and Inclusion Regions.
Truncation Error Bounds for Limit-Periodic Continued Fractions K(an/1) With lim an = 0.
Truncation Error Bounds for Modified Continued Fractions with Applications to Special Functions.