Multivariate simultaneous approximation

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Approximation in C N (2006, unknown): “sures that a>0 (see Proposition (ω) in section 13). Finally, we mention that Jackson-type approximation theorems for solutions to p(D)f= 0 on Ω which are continuous on Ω can be found in [BBL1] and [BBL2].¯ 7 Mergelyan property and solving ∂¯ Recall the Cauchy-Green formula: Let Ω be a bounded dom”
The Signature of a Rough Path: Uniqueness (2014, background): “It now suffices to note that functions in C c can be approximated by polynomials in the Lip(K)-norm [1] and the map ψ → ∫ ψ(dz)”
Learning Populations of Parameters (2017, methodology): “To this end, we use the following theorem from [3]: Lemma 2.”
Sharp estimates for oscillatory integral operators via polynomial partitioning (2017, methodology): “Similar issues were addressed in [9], [38] via a Jackson-type approximation theorem (see, for instance, [1]); for the present purpose, an entirely elementary Taylor approximation argument is all that is required.”
Characterization of stationary distributions of reflected diffusions. (2012, background): “Note that when α ∈ [1,2), the RBM is not a semimartingale.”