Geodesic
Approximation of functions by wavelet expansions with dilation matrix
Filomat, Tome 37 (2023) no. 22, p. 7589

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DOI

In this paper, we obtain the degree of approximation of a function f in L p (1 ≤ p ≤ ∞) norm under general conditions of the pointwise and uniform convergence of wavelet expansions associated with the multiresolution analysis with dilation matrix. Our results show that the degree has the exponential decay (faster than any polynomial) for the function f in L p (R) on a finite interval (a, b).
DOI : 10.2298/FIL2322589N
Classification : 41A30, 42C40
Keywords: Dilation matrix, Multiresolution analysis associated with dilation matrix, Wavelet expansion associated with dilation matrix, Degree of approximation, Modulus of continuity 
H K Nigam; Krishna Murari. Approximation of functions by wavelet expansions with dilation matrix. Filomat, Tome 37 (2023) no. 22, p. 7589 . doi: 10.2298/FIL2322589N
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     author = {H K Nigam and Krishna Murari},
     title = {Approximation of functions by wavelet expansions with dilation matrix},
     journal = {Filomat},
     pages = {7589 },
     year = {2023},
     volume = {37},
     number = {22},
     doi = {10.2298/FIL2322589N},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2322589N/}
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