Geodesic
Best-possible bounds of Fourier coefficients of functions of bounded variation with respect to the Haar system
Matematičeskie zametki, Tome 9 (1971) no. 3, pp. 355-363

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Best-possible estimates are obtained for sums and series of absolute values of Fourier coefficients with respect to the Haar system on the class $V(0, 1)$ of functions of bounded variation on $[0, 1]$. These estimates are improvements of results obtained by P. L. Ul'yanov. 
@article{MZM_1971_9_3_a13,
     author = {L. G. Khomutenko},
     title = {Best-possible bounds of {Fourier} coefficients of functions of bounded variation with respect to the {Haar} system},
     journal = {Matemati\v{c}eskie zametki},
     pages = {355--363},
     publisher = {mathdoc},
     volume = {9},
     number = {3},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_3_a13/}
}
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L. G. Khomutenko. Best-possible bounds of Fourier coefficients of functions of bounded variation with respect to the Haar system. Matematičeskie zametki, Tome 9 (1971) no. 3, pp. 355-363. http://geodesic.mathdoc.fr/item/MZM_1971_9_3_a13/