BOUNDEDNESS OF THE DERIVATIVE OF THE FUNCTION ON WAVELET COAPPROXIMATION

Document Type : Original Article

Authors
Yazd University
‎10.22034/maco.6.1.2
Abstract
In this paper, we de ne Chebyshev wavelets and Chebyshev wavelet coapproxi-
mation. We obtain some generalized results on wavelet coapproximation. We show
that if the series
P1
n=0
P1
m=0 jtn;mj2 is convergent, then there exists a wavelet coap-
proximation for a set. We assume that functions have bounded derivative and we
obtain wavelet coapproximation for a set.
AMS Classi cation3: 41A65, 41A52, 46N10.
Keywords: Chebyshev wavelets, Chebyshev polynomials, Wavelets coapproxima-
tion.
In this paper, we de ne Chebyshev wavelets and Chebyshev wavelet coapproxi-
mation. We obtain some generalized results on wavelet coapproximation. We show
that if the series
P1
n=0
P1
m=0 jtn;mj2 is convergent, then there exists a wavelet coap-
proximation for a set. We assume that functions have bounded derivative and we
obtain wavelet coapproximation for a set.
AMS Classi cation3: 41A65, 41A52, 46N10.
Keywords: Chebyshev wavelets, Chebyshev polynomials, Wavelets coapproxima-
tion.

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Articles in Press, Accepted Manuscript
Available Online from 15 April 2026