Factorization of inequalities.
Fernere Bemerkung über trigonometrische Reihen
FK-espaces contenant c0 en analyse non-archimédienne.
F-limit points in dynamical systems defined on the interval
Given a free ultrafilter p on ℕ we say that x ∈ [0, 1] is the p-limit point of a sequence (x n)n∈ℕ ⊂ [0, 1] (in symbols, x = p -limn∈ℕ x n) if for every neighbourhood V of x, {n ∈ ℕ: x n ∈ V} ∈ p. For a function f: [0, 1] → [0, 1] the function f p: [0, 1] → [0, 1] is defined by f p(x) = p -limn∈ℕ f n(x) for each x ∈ [0, 1]. This map is rarely continuous. In this note we study properties which are equivalent to the continuity of f p. For a filter F we also define the ω F-limit set of f at x. We consider...
F-Normalreihen.
Fonctions multisommables
La notion de multisommabilité intervient dans la théorie des équations différentielles lorsque des exponentielles d’ordres différents se mélangent. Elle a été introduite par J. Écalle et étudié récemment par plusieurs auteurs. On en donne ici une définition simple, qui fait uniquement intervenir des propriétés de décroissance exponentielle.
Fondements de la théorie des séries divergentes sommables
Formulas for sums of powers of integers by functional equations.
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...
Fractional Korovkin Theory Based on Statistical Convergence
2000 Mathematics Subject Classification: 41A25, 41A36, 40G15.In this paper, we obtain some statistical Korovkin-type approximation theorems including fractional derivatives of functions. We also show that our new results are more applicable than the classical ones.
General Nörlund transforms and power series methods.
General Tauberian Remainder Theorems.
General Tauberian theorems in R... connected with a theorem of Korenblum.
Generalization of a Theorem of Pati.
Generalization of some absolute summability methods.
Generalizations of the Riemann-Lebesgue and Cantor-Lebesgue lemmas
Generalizations to monotonicity for uniform convergence of double sine integrals over ℝ̅²₊
We investigate the convergence behavior of the family of double sine integrals of the form , where (u,v) ∈ ℝ²₊:= ℝ₊ × ℝ₊, ℝ₊:= (0,∞), and f: ℝ²₊ → ℂ is a locally absolutely continuous function satisfying certain generalized monotonicity conditions. We give sufficient conditions for the uniform convergence of the remainder integrals to zero in (u,v) ∈ ℝ²₊ as maxa₁,a₂ → ∞ and , j = 1,2 (called uniform convergence in the regular sense). This implies the uniform convergence of the partial integrals...
Generalized almost convergence and Knopp's core theorem
Generalized almost-convergence vs. matrix summability
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.