A simple proof of Suzumura's extension theorem for finite domains with applications.
Lahiri, Somdeb (2002)
Journal of Applied Mathematics and Decision Sciences
Similarity:
Lahiri, Somdeb (2002)
Journal of Applied Mathematics and Decision Sciences
Similarity:
J. Nymann (1995)
Colloquium Mathematicae
Similarity:
Roman Wituła (1996)
Colloquium Mathematicae
Similarity:
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. ...
Janusz Mierczyński (1994)
Colloquium Mathematicae
Similarity:
Yeom, Seung Wha, Min, Kyung Jin, Cho, Seong Hoon (1999)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Dirk Jens F. Nonnenmacher (1994)
Annales Polonici Mathematici
Similarity:
Modifying Mawhin's definition of the GP-integral we define a well-behaved integral over n-dimensional compact intervals. While its starting definition is of Riemann type, we also establish an equivalent descriptive definition involving characteristic null conditions. This characterization is then used to obtain a quite general form of the divergence theorem.
Péter Komjáth (1995)
Colloquium Mathematicae
Similarity:
Poetzsche, Christian, Siegmund, Stefan (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Similarity:
Babilonová, M. (2000)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
W. Jarczyk, K. Łoskot, M. C. Zdun (1994)
Annales Polonici Mathematici
Similarity:
The system of Abel equations α(ft(x)) = α(x) + λ(t), t ∈ T, is studied under the general assumption that are pairwise commuting homeomorphisms of a real interval and have no fixed points (T is an arbitrary non-empty set). A result concerning embeddability of rational iteration groups in continuous groups is proved as a simple consequence of the obtained theorems.
Karol Pąk (2014)
Formalized Mathematics
Similarity:
In this article we prove the Tietze extension theorem for an arbitrary convex compact subset of εn with a non-empty interior. This theorem states that, if T is a normal topological space, X is a closed subset of T, and A is a convex compact subset of εn with a non-empty interior, then a continuous function f : X → A can be extended to a continuous function g : T → εn. Additionally we show that a subset A is replaceable by an arbitrary subset of a topological space that is homeomorphic...
Szalay, I. (2002)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
Similarity: