Abstract

The question of asymptotic property research of local polynomial spline of three variables on the basis of the second order B-splines is considered in the article. Both the correspondent theorem and arguments as well as implications were formulated, proved and mentioned

Highlights

  • Let us consider some observation results of si­ multaneous realization according to three character­ istics T, Q, G of the observed and investigated object which are the arguments of some p ( t, q,g ) function

  • Let us state three separations A^, Ah of the axes observed by means of points

  • As the result of the separations A^jA A, there is axbxc of domains in the boundaries of which we shall look for the approximation function p ( t, q, g )

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Summary

Introduction

Let us consider some observation results of si­ multaneous realization according to three character­ istics T , Q , G of the observed and investigated object which are the arguments of some p ( t , q ,g ) function. Let us state three separations A^ , , Ah of the axes observed by means of points H g correspondingly to which the separations Ah

Results
Conclusion

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