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Error estimates for some quasi-interpolation operators. (English) Zbl 0938.65125
Explicit bounds on the constants for two quasi-interpolation operators which are modifications of the classical Clément-operator is derived. The estimates proposed are crucial for the construction of explicit constants which appear in the commonly used a posteriori error estimates. The obtained results are also compared with corresponding estimates for the standard nodal interpolation operator.

MSC:
65N15 Error bounds for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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