Question: Take the quadratic spline with three knots mK (x) 0 1x 2x3 3 (x 1)21{x 1}4 (x 2)21{x 2}5 (x 3)21{x

Take the quadratic spline with three knots mK (x) Æ ¯0 ů1x ů2x3 ů3 (x ¡¿1)21{x ¸ ¿1}ů4 (x ¡¿2)21{x ¸ ¿2}ů5 (x ¡¿3)21{x ¸ ¿3} .

Find the inequality restrictions on the coefficients ¯j so thatmK (x) is concave.

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