Eigenfunctions of elliptic boundary value problems can be well approximated by entire functions of exponential type and, as a consequence, it is possible to transfer approximation results with entire functions to eigenfunction expansions. Here, in particular, we consider Jackson and Bernstein type theorems. (C) 2003 Elsevier Science (USA). All rights reserved
Colzani, L., Masiero, F. (2003). Approximation of eigenfunctions of elliptic differential operators. JOURNAL OF APPROXIMATION THEORY, 123(1), 13-24 [10.1016/S0021-9045(03)00068-6].
Approximation of eigenfunctions of elliptic differential operators
COLZANI, LEONARDO;MASIERO, FEDERICA
2003
Abstract
Eigenfunctions of elliptic boundary value problems can be well approximated by entire functions of exponential type and, as a consequence, it is possible to transfer approximation results with entire functions to eigenfunction expansions. Here, in particular, we consider Jackson and Bernstein type theorems. (C) 2003 Elsevier Science (USA). All rights reserved
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