Asymptotics of $$$L_p$$$-error for adaptive approximation of $$$n$$$-variable functions by harmonic splines

T.Yu. Leskevich (Oles Honchar Dnipropetrovsk National University)


For a twice continuously differentiable function, defined on $$$n$$$-dimensional unit cube, we obtain sharp asymptotics of $$$L_p$$$-error for approximation by harmonic splines, and construct the asymptotically optimal sequence of partitions.


spline; harmonic function; approximation; error


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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991