Question: Take the linear spline with three knots mK (x) 0 1x 2 (x 1)1{x 1}3 (x 2)1{x 2}4 (x 3)1{x 3}

Take the linear spline with three knots mK (x) Æ ¯0 ů1x ů2 (x ¡¿1)1{x ¸ ¿1}ů3 (x ¡¿2)1{x ¸ ¿2}ů4 (x ¡¿3)1{x ¸ ¿3} .

Find the inequality restrictions on the coefficients ¯j so thatmK (x) is non-decreasing.

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