The parametric Weierstrass integral over a BV curve as a length functional
Faina, Loris
Studia Mathematica, Tome 129 (1998), p. 9-19 / Harvested from The Polish Digital Mathematics Library
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The constructive definition of the Weierstrass integral through only one limit process over finite sums is often preferable to the more sophisticated definition of the Serrin integral, especially for approximation purposes. By proving that the Weierstrass integral over a BV curve is a length functional with respect to a suitable metric, we discover a further natural reason for studying the Weierstrass integral. This characterization was conjectured by Menger.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:216462 
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Faina, Loris. The parametric Weierstrass integral over a BV curve as a length functional. Studia Mathematica, Tome 129 (1998) pp. 9-19. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv127i1p9bwm/

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