Charles K. Chui, Philip W. Smith, J. D. Ward
Abstract
Using elementary techniques, we obtain Jackson type estimates for the approximation of monotone nondecreasing functions by monotone nondecreasing splines with equally spaced knots in $L_p [0,1],\, 1 \leqq p \leqq \infty $. Our method, which works for all p, is different from that of De Vore.
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Using elementary techniques, we obtain Jackson type estimates for the approximation of monotone nondecreasing functions by monotone nondecreasing splines with equally spaced knots in $L_p [0,1],\, 1 \leqq p \leqq \infty $. Our method, which works for all p, is different from that of De Vore.
Key concepts: Mathematics, Monotone polygon, Degree (music), Spline (mechanical), Mathematical analysis, Combinatorics, Pure mathematics, Applied mathematics