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APPROXIMATION OF AGGREGATE FUNCTIONS AND DERIVATIVES

S. V. Alyukov
VANT. Ser.: Mat. Mod. Fiz. Proc 2013. Вып.2. С. 57-62.

The new approximation methods of aggregate functions and derivatives are considered, in particular of delta-functions. The methods developed do not have the shortcomings of Fourier series and enable the approximation of aggregate functions and derivatives to arbitrary large accuracy. The methods suggested make the structure and behavior of aggregate functions and derivatives clear.

Keywords: approximation, aggregate functions, delta-functions, Heaviside function, recursive sequence.







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