A GENERALIZATION OF WHITTAKER-HENDER SON GRADUATION

The Whittaker-Henderson graduation method of minimizing F + hS with fit F of the form ZWxlUx-U'~ ° and smoothness S of the form y l X-'u2' is investigated for 1 < p -< ~. It is shown that for a given h, the set of graduated values u ~ = (u] ..... u~) r is unique and is the solution of the system of equations F' (u) + hS'(u) = 0 rwhen 1

Keywords:

• Calculus
• Linear programming
• Inequality
• Smoothness
• System of linear equations
• Mathematics
• Combinatorics

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