Some inequalities involving e and their connections with some special functions and means are considered.
Approximations for Constant e and Their Applications
β Scribed by Xiaojing Yang
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 86 KB
- Volume
- 262
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
We prove three approximate selection theorems and give an improved version of the Michael selection theorem. As their applications, new fixed point theorems and equilibrium theorems for generalized games are established.
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 Ε½ . ΕΎ / ΕΎ / 2 x q 1 x 2 x q 1 Ε½ .
Jacobi approximations in certain Hilbert spaces are investigated. Several weighted inverse inequalities and Poincare inequalities are obtained. Some approximation Εesults are given. Singular differential equations are approximated by using Jacobi polynomials. This method keeps the spectral accuracy.
## Abstract We study the approximation properties of computably enumerable reals. We deal with a natural notion of approximation representation and study their wttβdegrees. Also, we show that a single representation may correspond to a quite diverse variety of reals. (Β© 2004 WILEYβVCH Verlag GmbH &