单纯形上Meyer-K{o}nig and Zeller算子矩量的一个递推公式

Acta mathematica scientia,Series A

• Articles • Previous Articles Next Articles

A Recurrence Formula of Moments for the Meyer-Konig and
Zeller Operators on a Simplex

Zhang Chungou

School of Mathematical Science, Capital Normal University, Beijing 100037

Received:2005-10-08 Revised:2006-08-07 Online:2008-04-25 Published:2008-04-25
Contact: Zhang Chungou

Abstract

Abstract: In this paper, the author first gives an integral expression of moments for the Meyer-K\"onig and Zeller operators of one variable by a simpler method than that in [2], then using the method the author establishes a recurrence formula of moments for the Meyer-K\"onig and Zeller operators of two variables on a simlex, finally derive the integral expression of the second and third moments for the operators as an application of the recurrence formula.

Key words: Meyer-K\"onig and Zeller operators, Moments, Integral expression, Simplex

CLC Number:

Zhang Chungou.

A Recurrence Formula of Moments for the Meyer-Konig and

Zeller Operators on a Simplex

[J].Acta mathematica scientia,Series A, 2008, 28(2): 302-307.

Trendmd

[1]	Yang Hong, Zhang Xiaoguang. A Stochastic SIS Epidemic Model on Simplex Complexes [J]. Acta mathematica scientia,Series A, 2024, 44(5): 1392-1399.
[2]	Tingwei Pan,Suxiang He. The Greedy Simplex Algorithm for Double Sparsity Constrained Optimization Problems [J]. Acta mathematica scientia,Series A, 2022, 42(3): 920-933.
[3]	YANG Shi-Guo, QIAN Di, PAN Juan-Juan, WANG Wen. The Neuberg-Pedoe Inequality in the Spherical Space [J]. Acta mathematica scientia,Series A, 2011, 31(5): 1282-1289.
[4]	CHEN Ping-Yan, LI Yuan-Mei. Limiting Behavior of Moving Average Processes of Martingale Difference Sequences [J]. Acta mathematica scientia,Series A, 2011, 31(1): 179-187.
[5]	Yang Dinghua. The Isometric Embedding of Synclastic Simplexes to Euclidean Space and Applications [J]. Acta mathematica scientia,Series A, 2008, 28(5): 914-922.
[6]	Zhang Chunli;Wei Bocheng. Influence Diagnostics In Simplex Distribution Models [J]. Acta mathematica scientia,Series A, 2007, 27(6): 1118-1132.
[7]	Yuan Shufeng; Ke Rui; Leng Gangsong. Inequalities for Widths of Convex Bodies with Applications [J]. Acta mathematica scientia,Series A, 2007, 27(4): 660-664.
[8]	DING Chun-Mei, CAO Fei-Long-. Multivariate Weighted Modulus of Smoothness and Bernstein-Durrmeyer Operators in B_a Space [J]. Acta mathematica scientia,Series A, 2005, 25(5): 627-636.
[9]	ZHANG Chun-Gou. The Second Moments for Meyer Konig and Zeller Operators on a Simplex [J]. Acta mathematica scientia,Series A, 2005, 25(2): 256-263.
[10]	WANG Hai-Bin, HUI Bo-Cheng, CHEN Gao-Qiu. The Approximate Third order Moments and Bispectral Density of LTBL Model [J]. Acta mathematica scientia,Series A, 2004, 24(4): 501-512.
[11]	CHEN Ping-Yan, GAN Shi-Xin. On Moments of sup_{n≥1}(S_n/n^{1/r})(0<r<2)和sup_{n≥1}(S_n/sqat(n lnln n)) [J]. Acta mathematica scientia,Series A, 2003, 23(5): 573-582.

A Recurrence Formula of Moments for the Meyer-Konig and
Zeller Operators on a Simplex

PDF (PC)

Abstract

Cite this article

share this article

References

Related Articles 11

Metrics

Comments

Recommended 10