Geodesic
Approximative properties of the Chebyshev wavelet series of the second kind
Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 3, pp. 56-64

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The wavelets and scaling functions based on Chebyshev polynomials and their zeros are introduced. The constructed system of functions is proved to be orthogonal. Using this system, an orthonormal basis in the space of square-integrable functions is built. Approximative properties of partial sums of corresponding wavelet series are investigated. 
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     author = {M. S. Sultanakhmedov},
     title = {Approximative properties of the {Chebyshev} wavelet series of the second kind},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {56--64},
     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2015_17_3_a6/}
}
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M. S. Sultanakhmedov. Approximative properties of the Chebyshev wavelet series of the second kind. Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 3, pp. 56-64. http://geodesic.mathdoc.fr/item/VMJ_2015_17_3_a6/