Some extremal functions in Fourier analysis
نویسندگان
چکیده
منابع مشابه
Some Extremal Functions in Fourier Analysis. Ii
We obtain extremal majorants and minorants of exponential type for a class of even functions on R which includes log |x| and |x|α, where −1 < α < 1. We also give periodic versions of these results in which the majorants and minorants are trigonometric polynomials of bounded degree. As applications we obtain optimal estimates for certain Hermitian forms, which include discrete analogues of the o...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1985
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1985-15349-2