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- W2017604880 abstract "The nonconvex problem of minimum curvature in $L^2 (a,b)$ generalizes naturally to the minimization in $L^p (a,b),, 1 < p leqq infty $, of constrained nonlinear differential expressions of order $m geqq 1$. Separating the cases $1 < p < infty $ and $p = infty $, we demonstrate the existence of extremal solutions for wide classes of such differential expressions. These extremal solutions, in the case of interpolation constraints, are used as approximants to develop a convergence theory for the approximation of $W^{m,p} (a,b)$ functions." @default.
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- W2017604880 date "1973-10-01" @default.
- W2017604880 modified "2023-09-27" @default.
- W2017604880 title "Minimization Problems and Linear and Nonlinear Spline Functions. II. Convergence" @default.
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- W2017604880 doi "https://doi.org/10.1137/0710067" @default.
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