Geodesic
General Lebesgue Constants for Linear Mean Subsequences of Fourier Sums
Matematičeskie zametki, Tome 75 (2004) no. 3, pp. 435-443

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Simple sufficient conditions for the boundedness of the norms of the general matrix operators constructed from the subsequences of partial sums of trigonometric Fourier series with polynomial order of growth are obtained. They guarantee a particular rate of approximation for subclasses of continuous functions. 
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     author = {L. P. Falaleev},
     title = {General {Lebesgue} {Constants} for {Linear} {Mean} {Subsequences} of {Fourier} {Sums}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {435--443},
     publisher = {mathdoc},
     volume = {75},
     number = {3},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2004_75_3_a10/}
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L. P. Falaleev. General Lebesgue Constants for Linear Mean Subsequences of Fourier Sums. Matematičeskie zametki, Tome 75 (2004) no. 3, pp. 435-443. http://geodesic.mathdoc.fr/item/MZM_2004_75_3_a10/