Optimal bases of spaces with trigonometric functions

• Autores: Jesús Miguel Carnicer , Esmeralda Mainar Maza , Juan Manuel Peña Fernández
• Localización: Pre-publicaciones del Seminario Matemático " García de Galdeano ", Nº. 29, 2006, 12 págs.
• Idioma: inglés
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• Resumen

  • We present a procedure to obtain the normalized B-basis, that is, the basis with optimal shape preserving properties of a space. We illustrate this construction with the space ¯ T1/2 generated by 1, t, cos t, sin t, cos(t/2), sin(t/2). We also obtain the control polygons for the representation of complete cycloidal arcs, cardioids, deltoids, Descartes' trifolium and the lima¿con of Pascal.