Geodesic
On the rate of summability of orthogonal series
Izvestiya. Mathematics , Tome 5 (1971) no. 6, pp. 1399-1417

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Estimates are obtained for the rate of summability of orthogonalseries by means which are generated by triangular matrices. These estimates depend on the convergence rate of the series of squares of the coefficients of the orthogonal series. Estimates are also obtained for the strong means of orthogonal series. 
@article{IM2_1971_5_6_a10,
     author = {V. A. Bolgov and A. V. Efimov},
     title = {On the rate of summability of orthogonal series},
     journal = {Izvestiya. Mathematics },
     pages = {1399--1417},
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     volume = {5},
     number = {6},
     year = {1971},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1971_5_6_a10/}
}
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V. A. Bolgov; A. V. Efimov. On the rate of summability of orthogonal series. Izvestiya. Mathematics , Tome 5 (1971) no. 6, pp. 1399-1417. http://geodesic.mathdoc.fr/item/IM2_1971_5_6_a10/