Geodesic
On the error of random quadrature formulae for certain function families
Dalʹnevostočnyj matematičeskij žurnal, Tome 7 (2007) no. 1, pp. 91-100

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In this paper, we obtain error of quadrature formulae with random elements for families of periodic functions having $\ell_p$-bounded Fourier coefficients. 
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     author = {M. A. Romanov},
     title = {On the error of random quadrature formulae for certain function families},
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M. A. Romanov. On the error of random quadrature formulae for certain function families. Dalʹnevostočnyj matematičeskij žurnal, Tome 7 (2007) no. 1, pp. 91-100. http://geodesic.mathdoc.fr/item/DVMG_2007_7_1_a8/