Title of article
ABOUT AN ALGORITHM OF FUNCTION APPROXIMATION BY THE LINEAR SPLINES
Author/Authors
BAYRAKTAR, B Uludag University - Education Faculty - Gorukle Campus - Bursa, Turkey , KUDAEV, V Institute of Computer Science and Problems of Regional Management of Kabardino-Balkar Scientific Centre of RAS, Russia
Pages
9
From page
333
To page
341
Abstract
The actual application for the problem of best approximation of grid function by linear splines was formulated. A mathematical model and a method for its
solution were developed. Complexity of the problem was that it was multi - extremal
and could not be solved analytically. The method was developed in order to solve the
problem of dynamic programming scheme, which was extended by us. Given the application of the method to the problem of flow control in the pressure-regulating systems,
the pipeline network for transport of substances (pipelines of water, oil, gas, and etc.)
that minimizes the amount of substance reservoirs and reduces the discharge of substance from the system. The method and the algorithm developed here may be used
in computational mathematics, optimal control and regulation system, and regressive
analysis.
Keywords
grid functions , the best approximation , minimal deviation , linear splines , dynamic programming , optimal regulation
Journal title
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
Serial Year
2016
Record number
2581034
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