New Recursive Representations for the Favard Constants with Application to the Summation of Series
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چکیده
In this study integral form and new recursive formulas for Favard constants and some connected with them numeric and Fourier series are obtained. The method is based on preliminary integration of Fourier series which allows for establishing finite recursive representations for the summation. It is shown that the derived recursive representations are numerically more effective than known representations of the considered objects. Keywords—Effective summation of series, Favard constants, finite recursive representations, Fourier series.
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