2012
DOI: 10.1016/j.amc.2012.09.034
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## Abstract:Two-direction multiscaling functions φ and two-direction multiwavelets ψ associated with φ are a more general and more flexible setting than one-direction multiscaling functions and multiwavelets. In this paper, we derive two methods for computing continuous moments of orthogonal two-direction multiscaling functions φ and orthogonal two-direction multiwavelets ψ associated with φ. The first method is by doubling and the second method is by separation. Two examples for both methods are given.2010 Mathematics Su… Show more

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##### Cited by 7 publications
(7 citation statements)
##### References 9 publications
(24 reference statements)
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“…An algorithm for computing continuous moments of the two-direction multiscaling function φ and multiwavelets ψ was derived in [8]. Continuous moments of φ and ψ can be computed if the recurrence coefficients of φ and ψ are given.…”
Section: Two-direction Multiscaling Functions and Multiwaveletsmentioning
confidence: 99%
See 3 more Smart Citations
“…An algorithm for computing continuous moments of the two-direction multiscaling function φ and multiwavelets ψ was derived in [8]. Continuous moments of φ and ψ can be computed if the recurrence coefficients of φ and ψ are given.…”
Section: Two-direction Multiscaling Functions and Multiwaveletsmentioning
confidence: 99%
“…Continuous moments of φ and ψ can be computed if the recurrence coefficients of φ and ψ are given. Here we review some results for moments derived from [8].…”
Section: Two-direction Multiscaling Functions and Multiwaveletsmentioning
confidence: 99%
See 2 more Smart Citations
“…The recursion coefficients p k are scalars. Two-direction scaling function ϕ and wavelet function ψ, which are a more general setting than the one-direction scaling function and wavelet, are investigated in [2,3,4,5,6,7].…”
Section: Introductionmentioning
confidence: 99%