… Gaussian interpolation inequalities with endpoint cases corresponding to the Gaussian Poincaré
and the logarithmic Sobolev inequalities, … –Nirenberg–Sobolev inequalities on spheres. …

… We also discuss improved versions of interpolation inequalities based on the carré du … a
Gaussian interpolation inequality as follows. On RN , with N ≥ 1, let us consider the Gaussian …

… interpolation and inequality constraints into a Gaussian process emulator. By using a
functional decomposition, a finite-dimensional approximation of Gaussian … to constraints on the …

… In this paper, we focus mainly on linear constraints for Gaussian process modeling. In Section
2, we develop first a theoretical framework capable of accounting for such constraints. This …

… To generate the random vector d, we first generate n Gaussian random variables Xi. The …
Finally, we use the code of Acklam [1] to generate the Gaussian distribution (also called the …

… Gaussian estimates have been studied extensively; see the … Vis a Schrodinger operator on
LP(JRN) Gaussian estimates … The norm estimate of CP is known as Hardy's inequality. We …

… Through a unified framework termed Gaussian interpolation flow… This analysis also sheds
light on the auto-encoding and … -Sobolev inequality and the Poincaré inequality if Assumptions …

… Through a unified framework termed Gaussian interpolation flow, … This analysis also sheds
light on the auto-encoding and cycle… the log-Sobolev inequality and the Poincaré inequality if …

… , interpolation inequality, complex hypercontractive inequality, correlation inequality, polarization
technique, Wick product and so on. … We present this inequality and its extension from …

… Many results in the theory of stability of interpolation by Gaussian networks, the degree … on
weighted polynomial approximation. In Section 4, we review some results regarding Gaussian …