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Big and little Lipschitz one sets

Big and little Lipschitz one sets

Abstract Given a continuous function $$f:{\mathbb {R}}\rightarrow {\mathbb {R}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>f</mml:mi> <mml:mo>:</mml:mo> <mml:mi>R</mml:mi> <mml:mo>→</mml:mo> <mml:mi>R</mml:mi> </mml:mrow> </mml:math> , we denote the so-called “big Lip” and “little lip” functions by "Equation missing"<!-- image only, no MathML or LaTex --> and "Equation missing"<!-- image only, no MathML or LaTex --> …