References
E. Makai, The first main theorem of P. Turán,Acta Math. Acad. Sci. Hung.,10 (1959), pp. 405–411.
P. Turán Eine neue Methode in der Analysis und deren Anwendungen (Budapest, 1953).
E. Makai, On a maximum problem,Acta Math. Acad. Sci. Hung.,9 (1958), pp. 105–110.
I. Dancs, On an extremal problem,Acta Math. Acad. Sci. Hung.,9 (1958), pp. 309–313.
InDancs' paper, On an extremal problem,Acta Math. Acad. Sci. Hung.,9 (1958), p. 310) it seems to be asserted that the statement made here forc m+1 , equally holds forc m+1 ,...,c m+k . It is not proved there, however, and anyway it fails forc m+k .
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De Bruijn, N.G. On Turán's first main theorem. Acta Mathematica Academiae Scientiarum Hungaricae 11, 213–216 (1960). https://doi.org/10.1007/BF02020939
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DOI: https://doi.org/10.1007/BF02020939