𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Characterization of the Derivatives for Linear Combinations of Post–Widder Operators inLp

✍ Scribed by Song Li; Ren Tai Wang


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
131 KB
Volume
97
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.

✦ Synopsis


The aim of the paper is to characterize the global rate of approximation of derivatives f (l) through corresponding derivatives of linear combinations of Post Widder operators in an appropriate weighted L p -metric using a weighted Ditzian and Totik modulus of smoothness, and also to characterize derivatives of these operators in Besov spaces of Ditzian Totik type.


📜 SIMILAR VOLUMES


On the Limits of (Linear Combinations of
✍ Hans-Jörg Wenz 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 400 KB

We give necessary and sufficient conditions such that iterates or certain linear combinations of iterates of linear operators of finite dimensional range, respectively, converge. In case of convergence, we give an expression for the limit as well as estimates for the rate of convergence. Our results

Approximation by Linear Combinations of
✍ Uwe Hamann 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 483 KB

Let L be the LAME operator defined by Lu = n u + p grad div u ( p > 0, u = = (ul, u,, u ~) ~) . We denote the fundamental solution of L by E = (Eij)i<j= 1,2,3. By Ei = (Eli, E,,, E3i)T(i = 1, 2, 3) we denote the column vectors of E. Let r be the Cm-smooth boundary of a bounded domain 52 c R3 with c

On the radius of convexity of linear com
✍ Richard Greiner; Oliver Roth 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 169 KB

## Abstract Let __S__ denote the set of normalized univalent functions in the unit disk. We consider the problem of finding the radius of convexity __r~α~__ of the set {(1 – __α__)__f__(__z__) + __αzf__′(__z__) : __f__ ∈ __S__} for fixed __α__ ∈ ℂ. Using a linearization method we find the exact

Model of the Linearized Collision Operat
✍ C.-V. Meister 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 327 KB

A model kinetic operator is proposed, describing the relaxation of the first sixteen hydrodynamic moments of a two-component plasma with temperature anisotropy with respect to an external magnetic field. The analytical expression given for the model, taking into account only density, velocity, and t