Pointwise Estimates for Integral Kernels

2016 ◽  
pp. 35-53
Author(s):  
Fritz Gesztesy ◽  
Marcus Waurick
Keyword(s):  
Pointwise Estimates

scholarly journals Pointwise estimates for higher order convexity preserving polynomial approximation

1994 ◽  
Vol 36 (2) ◽  
pp. 213-233 ◽  
Author(s):  
Jia-Ding Cao ◽  
Heinz H. Gonska
Keyword(s):  
Polynomial Approximation ◽  
Convex Functions ◽  
Higher Order ◽  
Second Order ◽  
Convolution Type ◽  
Shape Preservation ◽  
Moduli Of Continuity ◽  
Pointwise Estimates ◽  
Higher Order Convexity ◽  
Boolean Sum

AbstractDeVore-Gopengauz-type operators have attracted some interest over the recent years. Here we investigate their relationship to shape preservation. We construct certain positive convolution-type operators Hn, s, j which leave the cones of j-convex functions invariant and give Timan-type inequalities for these. We also consider Boolean sum modifications of the operators Hn, s, j show that they basically have the same shape preservation behavior while interpolating at the endpoints of [−1, 1], and also satisfy Telyakovskiῐ- and DeVore-Gopengauz-type inequalities involving the first and second order moduli of continuity, respectively. Our results thus generalize related results by Lorentz and Zeller, Shvedov, Beatson, DeVore, Yu and Leviatan.

scholarly journals Pointwise estimates and exponential laws in metastable systems via coupling methods

2012 ◽  
Vol 40 (1) ◽  
pp. 339-371 ◽  
Author(s):  
Alessandra Bianchi ◽  
Anton Bovier ◽  
Dmitry Ioffe
Keyword(s):  
Pointwise Estimates ◽  
Coupling Methods ◽  
Metastable Systems
Sign in / Sign up

Export Citation Format

Share Document