Pyhteeva I. Approximation of flat discretely presented curve lines on the basis of the least squares discrete method

New method of discrete approximation of dis-cretely presented curves (DPC) - the least squares discrete method (LSDM). Flat DPC approximation algorithm is represented by proposed method, the distin-guishing feature of which is discrete presenta-tion of the approximating function, determined by some control ordinates that influence the ordinates of the points. The dual task LSDM is solved by trans-ferring to the sphere of parameters. Suspended LSDM is considered as the basis for discrete solution of the least modulus method task. The problem of oscillation preventing under dis-crete approximation is solved by the proposed method on the basis of square programming by Langrage factor method with the usage of dis-crete function presentation. Thus, extreme solu-tion without regard for approximating function is got. The way of straightline segments of so-lution correction is proposed to enable the ap-proximation of dynamic outlines. Application of method for mathematical treatment of the experiment outcomes,and also for solution of economic-mathematical stimulation tasks, in particular, in stimulation of producing func-tions and development of producing processes prediction models in agroindustrial complex are considered. The results of researches are introduced into production at the open-end company "Mo-tor-Sich" in the chief designer department, at the open-end company "KB Berdyansksel-mash" at the chief designer department on the mathematical treatment of experiment out-comes, at Melitopol regional administration when constucting prediction models of agricul-tural crops productivity, the results of re-searches are included into educational process.