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Averaging initial data in applied problems

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Abstract

A method for averaging experimental data is proposed and formulas for averaged values of these data are given. A two-sided estimate accurate to the order of approximation of the averaged data is obtained.

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References

  1. M. V. Bushmanova and G. V. Khromova, “On the Accuracy of the Results Obtained by the Reconstruction of Experimentally Determined Function,” in Applications of Mathematics in Economics, Engineering, and Pedagogics (Magnitogorsk State Technical University, 2004), No. 2, pp. 3–8 [in Russian].

  2. C. Lanczos, Applied Analysis (Prentice-Hall, Englewood Cliffs, 1956; Fizmatgiz, Moscow, 1961).

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  3. G. V. Khromova, “On the Reconstruction of Functions Specified with an Error,” Zh. Vychisl. Mat. Mat. Fiz. 17, 1161–1171 (1977).

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Authors and Affiliations

  1. Nosov Magnitogorsk State Technical University, pr. Lenina 38, Magnitogorsk, 455000, Russia

    S. V. Bulycheva

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  1. S. V. Bulycheva
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Original Russian Text © S.V. Bulycheva, 2006, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2006, Vol. 46, No. 10, pp. 1802–1808.

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Bulycheva, S.V. Averaging initial data in applied problems. Comput. Math. and Math. Phys. 46, 1717–1723 (2006). https://doi.org/10.1134/S0965542506100095

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  • DOI: https://doi.org/10.1134/S0965542506100095

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