On Solution of Optimization Function Generated by Using Laplace Equation
loading.default
item.page.date
item.page.authors
item.page.journal-title
item.page.journal-issn
item.page.volume-title
item.page.publisher
Genius Journals
item.page.abstract
The Laplace equation generates in each such space the equation of minimizing the residual functional. The existence and uniqueness of optimal splines are proved. For their coefficients and residuals, exact formulas are obtained. It is shown that with increasing N, the minimum of the residual functional is ( ) −5 O N , and the special sequence consisting of optimal splines is fundamental