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- W2103755600 abstract "The aim of this paper is the investigation of the error which results from the method of approximate approximations applied to functions deflned on compact intervals, only. This method, which is based on an approximate partition of unity, was introduced by V. Maz’ya in 1991 and has mainly been used for functions deflned on the whole space up to now. For the treatment of difierential equations and boundary integral equations, however, an e‐cient approximation procedure on compact intervals is needed. In the present paper we apply the method of approximate approximations to functions which are deflned on compact intervals. In contrast to the whole space case here a truncation error has to be controlled in addition. For the resulting total error pointwise estimates and L1-estimates are given, where all the constants are determined explicitly." @default.
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- W2103755600 date "2005-01-01" @default.
- W2103755600 modified "2023-09-27" @default.
- W2103755600 title "Error estimates for approximate approximations on compact intervals" @default.
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