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A Best Approximation for Constant e and an Improvement to Hardy's Inequality

✍ Scribed by Xie Zitian; Zhong Yibing

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 54 KB
Volume: 252
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.6981

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✦ Synopsis

In this paper, the best approximating form of constant e and Hardy's inequality are discussed, and the improved conclusions of earlier work are achieved.

w x Recently, Y. Bicheng 1, 2 attained the inequalities involving constant e, x 1

1 1 e 1 y -1 q e 1 y , 1

Ž .

ž / ž / 2 x q 1 x 2 x q 1 Ž .

14 x q 12 x 12 x q 11

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