Design or not design? A numerical characterisation for piecewise Chebyshevian splines
نویسندگان
چکیده
منابع مشابه
Geometrically continuous piecewise quasi Chebyshevian splines
Quasi extended Chebyshev spaces (QEC-spaces for short) represent the largest class of spaces of sufficient regularity which are suitable for design [1]. In particular, they contain the well-known extended Chebyshev spaces as a special instance (and therefore can represent transcendental functions) as well as the so called variable degree polynomial spaces [2], that are very effective in handlin...
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Given a number of Extended Chebyshev (EC) spaces on adjacent intervals, all of the same dimension, we join them via convenient connection matrices without increasing the dimension. The global space is called a Piecewise Extended Chebyshev (PEC) Space. In such a space one can count the total number of zeroes of any non-zero element, exactly as in each ECsection-space. When this number is bounded...
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ژورنال
عنوان ژورنال: Numerical Algorithms
سال: 2018
ISSN: 1017-1398,1572-9265
DOI: 10.1007/s11075-018-0533-z