Geodesic
On efficient approximation of piecewise smooth functions with their presentation by rapidly converging piecewise polynomial series
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 7 (2004) no. 1, pp. 67-77

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A variant of expansion of piecewise smooth functions in rapidly converging series about specific piecewise polynomial functions is proposed. These specific functions are constructed on the basis of the Legendre polynomials. This paper is the sequel of the author's previous publications [1] and forms the basis of the efficient approximations of the above-mentioned functions. 
@article{SJVM_2004_7_1_a5,
     author = {V. V. Smelov},
     title = {On efficient approximation of piecewise smooth functions with their presentation by rapidly converging piecewise polynomial series},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {67--77},
     publisher = {mathdoc},
     volume = {7},
     number = {1},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2004_7_1_a5/}
}
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V. V. Smelov. On efficient approximation of piecewise smooth functions with their presentation by rapidly converging piecewise polynomial series. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 7 (2004) no. 1, pp. 67-77. http://geodesic.mathdoc.fr/item/SJVM_2004_7_1_a5/