### On the optimal renewal of n-linear functionals from linear information

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Sobol I.M. *Multidimensional quadrature formulas and Haar functions*, Moscow, 1969. (in Russian)

Babenko V.F. "On the best usage of linear functionals to approximate bilinear ones", *Researches on modern problems of summation and approximation of functions, and applications*, Dnipropetrovsk, 1979; pp. 3-5. (in Russian)

Babenko V.F. "On approximate calculation of scalar products", *Ukrainian Math. J.*, 1988; 40(1): pp. 15-21. (in Russian)

Babenko V.F., Rudenko A.A. "On the optimal renewal of convolutions and scalar products of functions from different classes", *Ukrainian Math. J.*, 1991; 43(10): pp. 1305-1310. (in Russian)

Babenko V.F., Rudenko A.A. "On the optimal renewal of scalar products of functions from different classes", *Theory of functions and approximation*, Saratov, 1991; pp. 17-22. (in Russian)

Babenko V.F., Rudenko A.A. "On the optimal renewal of scalar products of functions on the classes of functions defined by differential operators", *Approximation of functions and series summation*, Dnipropetrovsk, 1992; pp. 8-13. (in Russian)

Babenko V.F., Rudenko A.A. "On the optimal renewal of bilinear functionals in linear normed spaces", *Ukrainian Math. J.*, 1997; 49(6): pp. 828-831. (in Russian)

Babenko V.F., Gun'ko M.S., Rudenko A.A. "On the optimal renewal of bilinear functionals from linear information", *Dnipr. Univ. Math. Bull.*, 2012; 17: pp. 11-17. (in Russian)

Hardy G.H., Littlewood J.E., Polya G. *Inequalities*, Cambridge, 1934.

DOI: https://dx.doi.org/10.15421/241302

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