Orderwise optimal methods of approximate solution of Fredholm integral equations

S. V. Pereverzev

doi:10.1007/bf01092781

journal article Jan 01, 1980

Orderwise optimal methods of approximate solution of Fredholm integral equations

S. V. Pereverzev

Ukrainian Mathematical Journal Vol. 32 No. 2 pp. 100-106 · Springer Science and Business Media LLC

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References

9

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V. K. Dzyadyk, ?On application of linear methods to polynomial approximation of functions representing solutions of Fredholm integral equations of second kind,? Ukr. Mat. Zh.,22, No. 4, 461?480 (1970).

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L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis [in Russian], Gostekhizdat, Moscow-Leningrad (1950).

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L. V. Kantorovich and G. P. Akilov, Functional Analysis [in Russian], Nauka, Moscow (1977).

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N. P. Korneichuk, Extremal Problems of Approximation Theory [in Russian], Nauka, Moscow (1976).

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N. P. Korneicuk, ?Exact error bound of approximation by interpolating splines in L metric on the classes W p r (1?p < ?) of periodic functions,? Anal. Math.,3, No. 2, 109?117 (1977). 10.1007/bf01908423

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A. A. Zhensykbaev, ?Approximation of differentiable periodic functions by splines with respect to uniform division,? Mat. Zametki,13, No. 6, 807?816 (1973).

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V. M. Tikhomirov, Topics in Approximation Theory [in Russian], Moscow State Univ. (1976).

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A. A. Ligun, ?On diameters of some classes of differentiable periodic functions,? Mat. Zametki,25, No. 1, 43?51 (1979).

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Published: Jan 01, 1980
Vol/Issue: 32(2)
Pages: 100-106
License: View

Authors

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S. V. Pereverzev

Cite This Article

S. V. Pereverzev (1980). Orderwise optimal methods of approximate solution of Fredholm integral equations. Ukrainian Mathematical Journal, 32(2), 100-106. https://doi.org/10.1007/bf01092781

Orderwise optimal methods of approximate solution of Fredholm integral equations

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