Download A Bernstein Type Inequality for Derivatives of Rational by Lukashov A. L. PDF
By Lukashov A. L.
During this paper we determine an inequality for derivatives of rational fuinctions with a set denominator generalizing V. S. Videnskii's inequality to the case of 2 periods. To end up its asymptotic exactness, we use a brand new illustration of Akhiezer-Zolotarev fractions with the least deviation from zero on periods.
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Extra resources for A Bernstein Type Inequality for Derivatives of Rational Functions on Two Intervals
He held. He grabbed Charles behind the head. And he turned the ﬁght into a bore. Charles broke free frequently enough and banged Burley’s body with hooks, but whenever the action picked up, Burley went back to clinching. He threatened just once—in the sixth, when he gambled early and landed a couple of hard combinations. But when his best blows failed to faze Charles, he returned to clinching at every opportunity and no one in the crowd would have blamed the exasperated referee, Red Robinson, if he’d disqualiﬁed him.
But a couple of Charles’ army buddies who knew of his civilian life goaded him into it, and before Charles knew it there he was in the ring with his boyhood idol and the greatest heavyweight champion who had ever breathed. They did three fast rounds, and although Louis never once went all out, he was not the kind of guy who let a kid take liberties. He kept you in line even when he was playing with you. Likewise, Charles held back too—out of respect and out of the certainty that if he accidentally caught Joe with something hard, Joe would strike back even harder, out of reﬂex if nothing else.
He won ﬁve more the following year, 1941, when Williams got a chance to put him in with Ken Overlin at home in Cincinnati in June. It was the kind of ﬁght a manager loved to get for his kid in those days, when you could lose a ﬁght and it wasn’t the end of the world. Just a month earlier Overlin, who The Ring magazine ranked second in the world at middleweight, had lost the New York version of the world middleweight title in an outrageous and almost certainly mob-inﬂuenced decision against Billy Soose—his second points loss to Soose.