Moments in probability and approximation theory
Moments in probability and approximation theory
复制标题
概率论和逼近论中的矩
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
G. Anastassiou
中科院分区：
文献类型：
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作者：
G. Anastassiou
几何矩理论-最佳距离和最佳比率的方法，Kantorovich型和Kantorovich半径的凸矩方法矩问题-Kantorovich型矩问题，与服从一个矩条件的c-舍入比例相关的Kantorovich半径矩问题，与服从两个矩条件的c-舍入比例相关的矩问题，与两个矩条件下的杰斐逊舍入比例相关的矩问题，与两个矩条件下的舍入的亚当斯规则相关的矩问题，与Jefferson和亚当斯舍入规则相关的矩问题服从一个矩条件Levy半径-满足涉及[t，t2]的矩条件的一组概率测度的Levy半径，满足涉及Tchebycheff系统的两个矩条件的概率测度集的Levy半径Prokhorov半径-满足涉及{t，t2}的矩条件的概率测度集的Prokhorov半径，三角Prokhorov半径概率测度，正线性算子和Korovkin型不等式-最优Korovkin型不等式，近似最优Korovkin不等式，多元Korovkin型不等式凸性下的最优Korovkin型不等式-关于凸性下有限测度序列弱收敛到单位测度的程度，关于凸型有限测度弱收敛到单位测度的速度，关于凸型有限测度弱收敛到单位测度最优的卷积型算子的Knorovkin型不等式-卷积算子的sharp不等式，非正广义卷积算子的尖锐不等式正线性随机算子的最优Korovkin型不等式正线性算子的最优Korovkin型不等式利用推广的完备Tchebycheff系统一般的“K-可达”与概率测度到单位测度的弱收敛有关的不等式，一个一般的涉及基本矩的随机不等式，各种各样的尖不等式和涉及基本矩序列的Korovkin型收敛定理，一个离散的随机Korovkin型收敛定理.
Geometric moment theory - methods of optimal distance and optimal ratio, convex moment methods moment problems of Kantorovich type and Kantorovich radius - moment problems of Kantorovich type, Kantorovich radius moment problems related to c-rounding proportion subject to one moment condition, moment problems related to c-rounding proportions subject to two moment conditions, moment problems related to Jefferson-rounding proportions subject to two moment conditions, moment problems related to Adams rule of rounding subject to two moment conditions, moment problems related to Jefferson and Adams rules of rounding subject to one moment condition the Levy radius - the levy radius of a set of probability measures satisfying moment conditions involving [t, t2], the Levy radius of a set of probability measures satisfying two moment conditions involving a Tchebycheff system the Prokhorov radius - the Prokhorov radius of a set of probability measures satisfying moment conditions involving {t,t2}, the trigonometric Prokhorov radius probability measure, positive linear operators and Korovkin type inequalities - optimal Korovkin type inequalities, nearly optimal Korovkin inequalities, multivariate Korovkin type inequalities optimal Korovkin type inequalities under convexity - on the degree of weak convergence of a sequence of finite measures to the unit measure under convexity, on the rate of weak convergence of convex type finite measures to the unit measure, on the smooth rate of weak convergence of convex type finite measures to the unit measure optimal knorovkin type inequalities for convolution type operators - sharp inequalities for convolution operators, sharp inequalities for non-positive generalized convolution operators optimal Korovkin type inequalities for positive linear stochastic operators optimal Korovkin type inequalities for positive linear operators using an extended complete Tchebycheff system a general "K-attained" inequality related to the weak convergence of probability measures to the unit measure a general stochastic inequality involving basic moments miscellaneous sharp inequalities and Korovkin type convergence theorems involving sequences of basic moments a discrete stochastic Korovkin type convergence theorem.