Geodesic
The lower bounds estimate of the best approximation with a trigonometric polynomials of a summarized functions of two variables
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 3, pp. 478-486 Cet article a éte moissonné depuis la source Math-Net.Ru

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The lower bounds estimate of the best approximation in metric $L$ of a summarized functions of two variables under condition of summarability of the functions, conjugated by each and both variables, expressed in terms of Fourier coefficients, is obtained. 
@article{JMAG_2002_9_3_a15,
     author = {T. O. Kononovich},
     title = {The lower bounds estimate of the best approximation with a trigonometric polynomials of a summarized functions of two variables},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {478--486},
     year = {2002},
     volume = {9},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2002_9_3_a15/}
}
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T. O. Kononovich. The lower bounds estimate of the best approximation with a trigonometric polynomials of a summarized functions of two variables. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 3, pp. 478-486. http://geodesic.mathdoc.fr/item/JMAG_2002_9_3_a15/