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Müntz systems and orthogonal Müntz-Legendre polynomials

Müntz systems and orthogonal Müntz-Legendre polynomials

The Müntz-Legendre polynomials arise by orthogonalizing the Müntz system <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="StartSet x Superscript lamda 0 Baseline comma x Superscript lamda 1 Baseline comma ellipsis EndSet"> <mml:semantics> <mml:mrow> <mml:mo fence="false" stretchy="false">{</mml:mo> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>x</mml:mi> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>λ<!-- λ --></mml:mi> <mml:mn>0</mml:mn> </mml:msub> </mml:mrow> </mml:mrow> </mml:msup> …