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On Sign Changes in Weighted Polynomial L^1 -Approximation |
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| Authors: | H.-P. Blatt R. Grothmann R. K. Kovacheva |
| Affiliation: | (1) KATHOLISCHE UNIVERSITÄT EICHSTÄTT MATHEMATISCH-GEOGRAPHISCHE FAKULTÄT, D-85071 EICHSTÄTT E-mail |
| Abstract: | For ![$$f in L_{^w }^1 left[ { - 1{text{,}}1} right]$$](/content/t6tap7avce6l3eb7/10474_2004_Article_400436_TeX2GIFIE2.gif) denote by  a polynomial of best weighted  -approximation to  on ![$$left[ { - 1{text{,}}1} right]$$](/content/t6tap7avce6l3eb7/10474_2004_Article_400436_TeX2GIFIE6.gif) of degree  . In the present paper, we are dealing with the asymptotic distribution of sign changes of the error functions  . |
| Keywords: | sign changes best weighted approximation counting measure |
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