The parametric Weierstrass integral over a BV curve as a length functional

• Autorzy: Loris Faina
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1998
• Tom: 127
• Numer: 1
• Strony: 9-19

Daty

wydano

1998

otrzymano

1996-05-06

poprawiono

1997-06-17

Twórcy

autor

Loris Faina

• Dipartimento di Matematica, Università di Perugia, Via L. Vanvitelli, 1, 06123 Perugia, Italy

Bibliografia

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