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Functions Preserving Some Types of Series
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J. Borsík
Published/Copyright:
June 9, 2010
Abstract
Let A and B be sets of real sequences. Let F(A, B) denote the set of all functions ƒ : ℝ → ℝ that preserve A and B in the sense that (ƒ(an)) ∈ B for all sequences (an) ∈ A. We characterize F(A, B) when A and B are convergent series, absolutely convergent series, relatively convergent series and divergent series.
Received: 2006-12-07
Revised: 2008-04-24
Published Online: 2010-06-09
Published in Print: 2008-December
© Heldermann Verlag
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Articles in the same Issue
- Functions Preserving Some Types of Series
- On the Lipschitz Continuity of the Solutions of a Class of Elliptic Free Boundary Problems
- Distortion and Convolutional Theorems for Operators of Generalized Fractional Calculus Involving Wright Function
- Some New Generalizations of Critical Point Theorems for Locally Lipschitz Functions
- Stability of Impulsive Hybrid Set-Valued Differential Equations with Delay by Perturbing Lyapunov Functions
- Existence of Pareto Equilibria for Non-Compact Constrained Multi-Criteria Games
- Uniform Algebras in the Cantor and Baire Spaces
- Bounded Controllers for Uncertain Nonlinear Systems
- On a Refinement Type Equation
- Differential Polynomials Generated by Second Order Linear Differential Equations
- Existence Results of l-Point BVP for Higher Order Differential Equations with One-Dimension p-Laplacian
- Erratum to the Paper “Sufficiency and Duality in Control Problems with Generalized Invexity”
