Determination of the Jump of a Function of Generalized Bounded Variation by the Derivatives of a Trigonometric Interpolation Polynomial

被引：0
|
作者：
A. A. Kel'zon
机构：
[1] Admiral S. O. Makarov State Naval Academy,
来源：
Mathematical Notes | 2004年 / 76卷
关键词：
periodic function of harmonic bounded variation; jump of a periodic function; trigonometric interpolation polynomial; Fourier--Lagrange coefficients;
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摘要：
We obtain formulas expressing the value of the jump of a bounded periodic function of harmonic bounded variation in a neighborhood of the point under consideration via the derivatives of odd order of the Lagrange trigonometric interpolation polynomial with equidistant nodes and via the derivatives of even order of the conjugate polynomial.
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页码：73 / 80
页数：7
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