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- W2045947360 abstract "We introduce the notion of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>ψ</mml:mi></mml:math>-norm by considering the fact that an absolute normalized norm on <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:msup><mml:mrow><mml:mi mathvariant=double-struck>C</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math> corresponds to a continuous convex function <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>ψ</mml:mi></mml:math> on the unit interval <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mo>[</mml:mo><mml:mn>0,1</mml:mn><mml:mo>]</mml:mo></mml:math> with some conditions. This is a generalization of the notion of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>q</mml:mi></mml:math>-norm introduced by Belbachir et al. (2006). Then we show that a <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>ψ</mml:mi></mml:math>-norm is a norm in the usual sense." @default.
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- W2045947360 date "2011-04-14" @default.
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- W2045947360 title "Another Aspect of Triangle Inequality" @default.
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- W2045947360 doi "https://doi.org/10.5402/2011/514184" @default.
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