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Inverse theorems for functions in ๐ฟ_{๐‘} and other spaces

Inverse theorems for functions in ๐ฟ_{๐‘} and other spaces

Inverse theorem proved by R. De Vore for <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C left-parenthesis negative normal infinity comma normal infinity right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>C</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mo>โˆ’<!-- โˆ’ --></mml:mo> <mml:mi mathvariant="normal">โˆž<!-- โˆž --></mml:mi> <mml:mo>,</mml:mo> <mml:mi mathvariant="normal">โˆž<!-- โˆž --></mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">C( - \infty ,\infty )</mml:annotation> </mml:semantics> </mml:math> โ€ฆ