Almost collapse mass quantization in 2D Smoluchowski-Poisson equation

Almost collapse mass quantization in 2D Smoluchowski-Poisson equation
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二维 Smoluchowski-Poisson 方程中的质量量化几乎崩溃

DOI:
10.1002/mma.3602
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发表时间:
2015
期刊:
Math. Meth. Appl. Sci.
影响因子:
--
通讯作者:
T. Suzuki
T. Suzuki
中科院分区:
--
文献类型:
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作者:
A. Ambainis;K. Iwama;M. Nakanishi;H. Nishimura;R. Raymond;S. Tani;S. Yamashita;T. Suzuki

文献摘要

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本文的目的是引入由指数函数的Dunkl推广生成的Stancu-型线性正算子.我们利用著名的Korovkin型定理和加权Korovkin型定理给出了逼近性质,并利用经典连续模、Lipschitz函数类、Peetre K泛函和Szász算子的Dunkl模拟的二阶连续模得到了收敛速度.版权所有© 2015约翰威利父子有限公司.
The purpose of the paper is to introduce Stancu‐type linear positive operators generated by Dunkl generalization of exponential function. We present approximation properties with the help of well‐known Korovkin‐type theorem and weighted Korovkin‐type theorem and also acquire the rate of convergence in terms of classical modulus of continuity, the class of Lipschitz functions, Peetre's K‐functional, and second‐order modulus of continuity by Dunkl analogue of Szász operators. Copyright © 2015 John Wiley & Sons, Ltd.