References
- S.S. Agayan and G.L. Bayadyan, Stable summation of Fourier - Haar series with approximate coefficients, Mat. zametki 39 (1986), pp. 136–143.
- B. Aliev, Estimation of the regularization method for the problem of the Fourier series, Dokl. Akad. Nauk Tadzhik. SSR 21 (1978), pp. 3–6.
- A.B. Bakushinskiy, On stable summation of Fourier series, Dokl. Math. 79(2) (2009), pp. 1–4.
- B.S. Kashin and A.A. Saakyan, Orthogonal Series, American Mathematical Society, Providence, RI, 1989. (Transl. from the Russian by Ralph P. Boas. Transl. Ben Silver, Ed.).
- S. Lu and S.V. Pereverzev, Regularization Theory for Ill-Posed Problems: Selected Topics, Inverse and Ill-Posed Problems Series, Vol. 58, De Gruyter, Berlin, 2013.
- P. Mathe and S.V. Pereverzev, Stable summation of orthogonal series with noisy coefficients, J. Appox. Theory 118 (2002), pp. 66–80. doi: 10.1006/jath.2002.3710
- S.V. Pereverzev and E. Schock, On the adaptive selection of the parameter in regularization of ill-posed problems, SIAM J. Numer. Anal. 43 (2005), pp. 2060–2076. doi: 10.1137/S0036142903433819
- K.K. Sharipov, On recovery of continuous functions from noisy Fourier coefficients, Comput. Methods Appl. Math. 11(1) (2011), pp. 75–82. doi: 10.2478/cmam-2011-0004
- S.G. Solodky and K.K. Sharipov, Summation of smooth functions of two variables with perturbed Fourier coefficients, J. Inverse Ill-Posed Probl. 23(3) (2015), pp. 287–297. doi: 10.1515/jiip-2013-0076
- A.N. Tikhonov, On regularization of ill-posed problems, Dokl. Akad. Nauk SSSR 153(1) (1963), pp. 49–52.
- A.N. Tikhonov, On stable methods of summation of the Fourier series, Dokl. Akad. Nauk SSSR 156(2) (1964), pp. 268–271.
- A.N. Tikhonov and V.Y. Arsenin, Solutions of Ill-Posed Problems, Nauka, Moscow, 1974.