Abstract
We investigate Condition E and the basic regularity conditions for the two-direction multiscaling functions $\boldsymbol {\phi }$, and then investigate approximation order of $\boldsymbol {\phi }$. By investigating a structure of approximation vectors, we are able to find simple and efficient criteria for Condition E, the basic regularity conditions, and the approximation order of $\boldsymbol {\phi }$. Examples for illustrating the general theory are given.
Citation
Soon-Geol Kwon. "Approximation order of two-direction multiscaling functions." Rocky Mountain J. Math. 49 (8) 2669 - 2688, 2019. https://doi.org/10.1216/RMJ-2019-49-8-2669
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