Optimal Recovery of Holomorphic Functions from Inaccurate Information about Radial Integration

Arthur DeGraw^{*}

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References

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[4] A. G. Marchuk and K. Y. Osipenko, “Best Approximations of Functions Specified with an Error at a Finite Number of Points,” Mathematical notes of the Academy of Sciences of the USSR, Vol. 17, No. 3, 1975, pp. 207- 212. doi:10.1007/BF01149008

[5] A. A. Melkman and C. A. Micchelli, “Optimal Estimation of Linear Operators in Hilbert Spaces from Inaccurate Data,” SIAM Journal on Numerical Analysis, Vol. 16, No. 1, 1979, pp. 87-105. doi:10.1137/0716007

[6] K. Y. Osipenko, “Best Approximation of Analytic Functions from Information about Their Values at a Finite Number of Points,” Mathematical notes of the Academy of Sciences of the USSR, Vol. 19, No. 1, 1976, pp. 17-23.
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[7] K. Y. Osipenko, “The Hardy-Littlewood-Polya Inequality for Analytic Functions from Hardy-Sobolev Spaces,” Sbornic: Mathematics, Vol. 197, No. 3, 2006, pp. 315-334.

[8] K. Y. Osipenko and M. I. Stessin, “Hadamard and Schwarz Type Theorems and Optimal Recovery in Spaces of Analytic Functions,” Constructive Approximation, Vol. 31, No. 1, 2009, pp. 37-67.

[9] K. Y. Osipenko and N. D. Vysk, “Optimal Recovery of the Wave Equation Solution by Inaccurate Input Data,” Matematicheskie Zametki, Vol. 81, No. 6, 2007, pp. 723-733.