https://www.sulprobil.de/tags/minimax-interpolation/ Recent content in MiniMax Interpolation on Sulprobil Hugo en Fri, 29 May 2026 16:33:00 +0100 https://www.sulprobil.de/minimax_interpolation_en/ Fri, 29 May 2026 16:33:00 +0100 https://www.sulprobil.de/minimax_interpolation_en/ <p><strong>&ldquo;The man of knowledge must be able not only to love his enemies but also to hate his friends.&rdquo; [Friedrich Nietzsche]</strong></p> <h2 id="abstract">Abstract</h2> <p>Alexander W. came up with yet another interpolation formula for problems which you can often encounter with taxes or other fee structures:</p> <p><em>=MIN(C6%%*{110,70,35,25}+{0,400,1275,1775},3212.5)</em></p> <p>See below, this would result in 2,150 for input value 250,000:</p> <p><img src="https://www.sulprobil.de/MiniMax_Interpolation.png" alt="MiniMax_Interpolation"></p> <p>How do you calculate his function parameters and what are the prerequisites or the conditions under which his function can be applied? His formula can be applied if and only if the slopes between adjacent points are monotonously increasing or decreasing. For the function parameters refer to the example file mentioned above, please.</p>