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IEVref:103-01-09ID:
Language:enStatus: Standard
Term: weighted inner product
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Definition: for two complex-valued functions, f _ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWaamGadaGadeaabaGaaqaaaOqaamaamaaabaqcLbwaca WGMbaaaaaa@3718@ and g _ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWaamGadaGadeaabaGaaqaaaOqaamaamaaabaqcLbwaca WGNbaaaaaa@3719@ , defined on the interval [ a,b] MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWaamGadaGadeaabaGaaqaaaOqaamaadmaabaGaamyyai aacYcacaWGIbaacaGLBbGaayzxaaaaaa@39BD@ of ℝ, complex number f _ , g _ = a b f _ (x ) g _ (x)w(x)dx MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaamaaamaabaWaaWaaaeaacaWGMbaaaiaacYcadaadaaqaaiaadEgaaaaacaGLPmIaayPkJaGaeyypa0Zaa8qmaeaadaadaaqaaiaadAgaaaGaaiikaiaadIhaaSqaaiaayIW7caWGHbaabaGaaGjcVlaadkgaa0Gaey4kIipakiaacMcacaaMc8+aaWaaaeaacaWGNbaaamaaCaaaleqabaGaey4fIOcaaOGaaGzaVlaacIcacaWG4bGaaiykaiaaykW7caWG3bGaaiikaiaadIhacaGGPaqcLbuacaGGKbGaamiEaaaa@543B@ , where w(x) is a real function of x called weight


Publication date:2009-12
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Internal notes:2017-02-20: Editorial revisions in accordance with the information provided in C00020 (IEV 103) - evaluation. JGO
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