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- W39375438 abstract "We present a survey of some results on the inequalities for the Euler’s constant and prove the following result: Let γ = 0.577215664 . . . be the Euler’s constant, and let xn = 1 + 1 2 + 1 3 + . . . + 1 n−1 + 1 2n − log n, then for all integers n ≥ 1, 1 12(n + a)2 ≤ γ − xn < 1 12(n + b)2 with the best possible constants a = 1 √ 12γ − 6 − 1 = 0.038859 . . . and b = 0. We obtain the monotonicity properties of functions related to the psi function. Relevant connections of the results presented here with those derived in earlier works are also pointed out." @default.
- W39375438 created "2016-06-24" @default.
- W39375438 creator A5012945041 @default.
- W39375438 date "2009-01-01" @default.
- W39375438 modified "2023-09-22" @default.
- W39375438 title "The Best Bounds in Vernescu's Inequalities for the Euler's Constant" @default.
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