Abstract
We study the problem of optimal renewal of bilinear functionals on the basis of optimal linear information in the general statement. We also represent some new results for special spaces of functions.
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References
V. F. Babenko, “On the best use of linear functionals for the approximation of bilinear functional,” in: Studies of Modern Problems of Summation and Approximation of Functions and Their Applications [in Russian], Dnepropetrovsk University, Dnepropetrovsk (1979), pp. 3–5.
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Additional information
Dnepropetrovsk University, Dnepropetrovsk. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 6, pp. 828–831, June, 1997.
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Babenko, V.F., Rudenko, A.A. On the optimal renewal of bilinear functionals in linear Normed spaces. Ukr Math J 49, 925–929 (1997). https://doi.org/10.1007/BF02513432
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DOI: https://doi.org/10.1007/BF02513432