On Cauchy-type functional equations.

Elhoucien, Elqorachi; Akkouchi, Mohamed

Displaying similar documents to “On Cauchy-type functional equations.”

Potential theory of quasiminimizers.

Kinnunen, Juha, Martio, Olli (2003)

Annales Academiae Scientiarum Fennicae. Mathematica

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Generalizations of Hölder's inequality.

Cheung, Wing-Sum (2001)

International Journal of Mathematics and Mathematical Sciences

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Dichotomies for $𝐂_{0} (X)$ and $𝐂_{b} (X)$ spaces

Szymon Głąb, Filip Strobin (2013)

Czechoslovak Mathematical Journal

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Jachymski showed that the set $\{(x, y) \in 𝐜_{0} \times 𝐜_{0} : {(\sum_{i = 1}^{n} α (i) x (i) y (i))}_{n = 1}^{\infty} is bounded\}$ is either a meager subset of $𝐜_{0} \times 𝐜_{0}$ or is equal to $𝐜_{0} \times 𝐜_{0}$ . In the paper we generalize this result by considering more general spaces than $𝐜_{0}$ , namely $𝐂_{0} (X)$ , the space of all continuous functions which vanish at infinity, and $𝐂_{b} (X)$ , the space of all continuous bounded functions. Moreover, we replace the meagerness by $σ$ -porosity.

Properties of solutions of optimization problems for set functions.

Dorosiewicz, Slawomir (2001)

International Journal of Mathematics and Mathematical Sciences

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The Euler equation for a class of nonconvex problems.

Buttazzo, Giuseppe, Faina, Loris (1994)

Portugaliae Mathematica

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Small bound isomorphisms of the domain of a closed *-derivation.

Matsumoto, Toshiko, Watanabe, Seiji (2000)

International Journal of Mathematics and Mathematical Sciences

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May the Cauchy transform of a non-trivial finite measure vanish on the support of the measure?

Tolsa, Xavier, Verdera, Joan (2006)

Annales Academiae Scientiarum Fennicae. Mathematica

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The Kurzweil construction of an integral in ordered spaces

Beloslav Riečan, Marta Vrábelová (1998)

Czechoslovak Mathematical Journal

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This paper generalizes the results of papers which deal with the Kurzweil-Henstock construction of an integral in ordered spaces. The definition is given and some limit theorems for the integral of ordered group valued functions defined on a Hausdorff compact topological space $T$ with respect to an ordered group valued measure are proved in this paper.