Regularity properties of the element of closest approximation
Regularity properties of the element of closest approximation
Given an element <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="f epsilon upper L Superscript p Baseline left-parenthesis upper T right-parenthesis comma 1 greater-than p greater-than normal infinity"> <mml:semantics> <mml:mrow> <mml:mi>f</mml:mi> <mml:mi>ϵ<!-- ϵ --></mml:mi> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msup> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi>T</mml:mi> <mml:mo stretchy="false">)</mml:mo> <mml:mo>,</mml:mo> <mml:mn>1</mml:mn> <mml:mo>></mml:mo> <mml:mi>p</mml:mi> <mml:mo>></mml:mo> <mml:mi mathvariant="normal">∞<!-- …