Integral Representations for Padé-type Operators

نویسنده

  • NICHOLAS J. DARAS
چکیده

The main purpose of this paper is to consider an explicit form of the Padé-type operators. To do so, we consider the representation of Padétype approximants to the Fourier series of the harmonic functions in the open disk and of the L-functions on the circle by means of integral formulas, and, then we define the corresponding Padé-type operators. We are also concerned with the properties of these integral operators and, in this connection, we prove some convergence results.

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تاریخ انتشار 2002