scholarly journals Pointwise estimates of the best one-sided approximations of classes $$$W^r_{\infty}$$$ for $$$0 < r < 1$$$

2018 ◽  
Vol 26 (1) ◽  
pp. 62
Author(s):  
A.M. Pas'ko ◽  
V.D. Stefura
Keyword(s):  
Pointwise Estimates ◽  
Pointwise Estimation

The asymptotic pointwise estimation of the best one-sided approximations to the classes $$$W^r_{\infty}$$$, $$$0 < r < 1$$$, has been established.

scholarly journals Pointwise estimates of one-sided approximations of one class of singular integrals

2013 ◽  
Vol 21 ◽  
pp. 141
Author(s):  
A.M. Pas'ko ◽  
O.O. Kolesnyk
Keyword(s):  
Singular Integrals ◽  
Algebraic Polynomials ◽  
Pointwise Estimates ◽  
Pointwise Estimation

The pointwise estimation of the approximation to the class ${\breve{W}}_{\infty}^r$, $r \geqslant 1$, by algebraic polynomials is established.

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 for solutions of semilinear parabolic inequalities with a potential

2018 ◽  
Vol 29 (2) ◽  
pp. 255-288
Author(s):  
Luigi Montoro ◽  
Fabio Punzo ◽  
Berardino Sciunzi
Keyword(s):  
Pointwise Estimates ◽  
Semilinear Parabolic ◽  
Parabolic Inequalities

Pointwise Estimates for Transition Probabilities of Random Walks on Infinite Graphs

2003 ◽  
pp. 119-134 ◽  
Author(s):  
Thierry Coulhon ◽  
Alexander Grigor’yan
Keyword(s):  
Random Walks ◽  
Transition Probabilities ◽  
Infinite Graphs ◽  
Pointwise Estimates

scholarly journals Global pointwise estimates for Green's matrix of second order elliptic systems

2010 ◽  
Vol 249 (11) ◽  
pp. 2643-2662 ◽  
Author(s):  
Kyungkeun Kang ◽  
Seick Kim
Keyword(s):  
Elliptic Systems ◽  
Second Order ◽  
Pointwise Estimates ◽  
Green’S Matrix

scholarly journals Pointwise estimates of solutions for the Euler-Poisson equations with damping in multi-dimensions

2010 ◽  
Vol 26 (3) ◽  
pp. 1101-1117 ◽  
Author(s):  
Zhigang Wu ◽  
◽  
Weike Wang ◽  
Keyword(s):  
Pointwise Estimates ◽  
Estimates Of Solutions ◽  
Poisson Equations

scholarly journals Pointwise estimates for convex polynomial approximation

1986 ◽  
Vol 98 (3) ◽  
pp. 471-471 ◽  
Author(s):  
D. Leviatan
Keyword(s):  
Polynomial Approximation ◽  
Pointwise Estimates

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

scholarly journals The Pointwise Estimates of Solutions for Euler Equations with Damping in Multi-Dimensions

2001 ◽  
Vol 173 (2) ◽  
pp. 410-450 ◽  
Author(s):  
Weike Wang ◽  
Tong Yang
Keyword(s):  
Euler Equations ◽  
Pointwise Estimates ◽  
Estimates Of Solutions
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