Chudova, S. S. Optimal reconstruction of an integral over a \(D\)-dimensional ball. (Russian) Zbl 1106.41029 Vladikavkaz. Mat. Zh. 6, No. 4, 63-67 (2004). Summary: The problem is under study of optimal recovery of an integral of function of several variables from their boundary values. An explicit formula is given for the optimal recovery method for an integral of a function in a Sobolev space. The recovery accuracy is calculated. MSC: 41A55 Approximate quadratures Keywords:Lagrange function; Lagrange multiplier; Cauchy inequality × Cite Format Result Cite Review PDF Full Text: EMIS