Let L L N denote the class of functions defined by ## Ε½ . Ε½ . For N Βͺ Ο± we write f g L L. Functions in L L are called completely monotonic on Ε½ . 0, Ο± . We derive several inequalities involving completely monotonic functions. In particular, we prove that the implication is true for 0 F N F 7, bu
Inequalities for Residuals of Power Expansions for the Exponential Function and Completely Monotone Functions
β Scribed by Milan Merkle
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 140 KB
- Volume
- 212
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study mapping properties of the Fourier Laplace transform between certain spaces of entire functions. We introduce a variant of the classical Fock space by integrating against the Monge AmpeΓ re measure of the weight function and show that the norm of the Fourier Laplace transform, in a dual Fock
Applying windows to experimental data is a common practice in modal testing to minimise the effects of leakage, and the exponential window is used for the transient signals measured with impact testing and burst random excitation. Used properly, the exponential can minimise leakage errors on lightly
## Abstract In this paper we show with scattering theoretical methods the absence of the singular continuous spectrum for operators that are perturbations of functions of the Laplacian. We extend the semigroup criteria developed in [9] and apply the result to the case of the fractional Laplacian (β