A Remark on the Kolmogorov–Stein Inequality
نویسندگان
چکیده
منابع مشابه
A Remark on the Mandl’s Inequality
So, we have (1.2) p1p2 · · · pn < (pn 2 )n (n ≥ 9), where also holds true by computation for 5 ≤ n ≤ 8. In other hand, one can get a trivial lower bound for that product using Euclid’s proof of infinity of primes; Letting En = p1p2 · · · pn−1 for every n ≥ 2, it is clear that pn < En. So, if pn < En < pn+1 then En should has a prime factor among p1, p2, · · · , pn which isn’t possible. Thus En ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1996
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0417