Geodesic
Solution of singular integral equations by the method of oscillating functions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2009), pp. 28-35 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we consider a singular integral equation with the Hilbert kernel in the space of summable complex-valued $2\pi$-periodic functions with the usual norm. We theoretically justify the proposed method, establish its convergence, and estimate the error.
Keywords: singular integral equation with the Hilbert kernel, average convergence, error estimates.
Mots-clés : uniform convergence 
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     author = {L. B. Ermolaeva},
     title = {Solution of singular integral equations by the method of oscillating functions},
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     url = {http://geodesic.mathdoc.fr/item/IVM_2009_12_a3/}
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L. B. Ermolaeva. Solution of singular integral equations by the method of oscillating functions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2009), pp. 28-35. http://geodesic.mathdoc.fr/item/IVM_2009_12_a3/

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