POSITIVE, MONOTONE, AND S-CONVEX C(1)-HISTOPOLATION ON RECTANGULAR GRIDS

Authors
SCHMIDT JW
Citation
Jw. Schmidt, POSITIVE, MONOTONE, AND S-CONVEX C(1)-HISTOPOLATION ON RECTANGULAR GRIDS, Computing, 50(1), 1993, pp. 19-30
Citations number
17
Journal title
Computing → ACNP
ISSN journal
0010485X
Volume
50
Issue
1
Year of publication
1993
Pages
19 - 30
Database
ISI
SICI code
0010-485X(1993)50:1<19:PMASCO>2.0.ZU;2-4
Abstract
In this paper we are interested in volume matching C1-splines which, i n addition, are positive, monotone, or S-convex. Using particular rati onal biquadratic splines sufficient conditions are derived in form of linear equalities and inequalities, and these conditions are shown to be satisfied for sufficiently large rationality parameters.