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Uniform convergence of Galerkin’s method for splines on highly nonuniform meshes

Uniform convergence of Galerkin’s method for splines on highly nonuniform meshes

Different sets of conditions for an estimate of the form <disp-formula content-type="math/mathml"> \[ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="double-vertical-bar y minus y Superscript pi Baseline double-vertical-bar Subscript upper L Sub Subscript normal infinity Subscript left-parenthesis a comma b right-parenthesis Baseline less-than-or-slanted-equals upper C max Underscript i Endscripts h Subscript i Superscript r plus …