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ABSTRACTIn the present article, the hypersingular integral operator with Cauchy kernel H is approximated by a sequence of operators of a special form, and it is proved that the approximating… (More)

- Rashid A. Aliev
- 2006

In this paper, a new method for the approximate solution of linear singular integral equations defined on smooth closed curves is proposed and justified.

- Rashid A. Aliev
- 2016

We study the inverse problems of finding the coefficients of a linear elliptic equation for various boundary conditions in a prescribed rectangle. The existence, uniqueness, and stability theorems… (More)

- Rashid A. Aliev
- 2016

We consider the space of analytic functions in polydisc with the topology of compact convergence, and prove some theorems on the approximation and statistical approximation of functions in this space… (More)

- Rashid A. Aliev
- 2015

In the present paper using the notion of Q' -integration introduced by E.Titchmarsh we prove the analogue of Riesz’s equality for the Hilbert transform of the finite complex measures.

- Rashid A. Aliev
- 2009

In this paper, we study the asymptotic behavior of the distribution function of the discrete Hilbert transform of sequences from the class \(l_{1} \) and find a necessary condition and a sufficient… (More)

In this work we obtained Korovkin type theorem for linear k-positive operators defined on the space of analytical functions in domain Dm 0 , where D m 0 = D0 × · · · × D0 is a polydisc in the space… (More)

- Rashid A. Aliev
- 2016

In the present paper we study asymptotic behavior of the distribution function of the Hilbert transform of the finite complex measure and using the notion of $${Q}^{\prime }$$Q′-integration… (More)

ABSTRACTIn this paper we prove that the restricted Ahlfors–Beurling transform of a Lebesgue integrable function is A-integrable and derive an analogue of Riesz's equality holds.