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Lebesgue constants for Jacobi expansions

Lebesgue constants for Jacobi expansions

Sharp estimates are given for the Lebesgue constants <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="StartAbsoluteValue EndAbsoluteValue StartAbsoluteValue s Subscript n Baseline EndAbsoluteValue StartAbsoluteValue EndAbsoluteValue Subscript p Baseline equals sup left-brace double-vertical-bar s Subscript n Baseline f double-vertical-bar Subscript p Baseline colon f element-of upper L Subscript w Superscript p Baseline comma double-vertical-bar …