Please wait a minute...
ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2005, Vol. 6 Issue ( 7): 26-    DOI: 10.1631/jzus.2005.A0764
    
On Tur¨￠n type inequality with doubling weights and A* weights
YU Dan-sheng, WEI Bao-rong
Department of Mathematics, Zhejiang University, Hangzhou 310028, China; Department of Mathematics, Hangzhou Teacher’s College, Hangzhou 310036, China
Download:     PDF (0 KB)     
Export: BibTeX | EndNote (RIS)      

Abstract  Let Hn be the set of real algebraic polynomials of degree n, whose zeros all lie in the interval [-1,1]. The well known Tur¨￠n type inequalities tell us that for f(x)ÎHn, it holds This note deals with the weighted Tur¨￠n type inequalities with the weights having inner singularities under Lp norm for 0

Key words： Mathematics Turán type inequality      Doubling weights      A* weights     
Received: 06 December 2004     
CLC:  O174  
Service
E-mail this article
Add to my bookshelf
Add to citation manager
E-mail Alert
RSS
Articles by authors
YU Dan-sheng
WEI Bao-rong
Cite this article:

YU Dan-sheng, WEI Bao-rong. On Tur¨￠n type inequality with doubling weights and A* weights. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6( 7): 26-.

URL:

http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2005.A0764     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2005/V6/I 7/26

[1] Bao-rong WEI, Yi ZHAO. Weighted approximation of functions with singularities by Bernstein operators[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2008, 9(10): 1451-1456.
[2] ZHANG Chun-jie, QIAN Rui-rui. A note on the Marcinkiewicz integral operators on Fpα,q[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2007, 8(12): 2037-2040.
[3] XIAN Jun. Reconstruction algorithm in lattice-invariant signal spaces[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6(7): 760-763.
[4] JIANG Hai-yi. A general version of the Morse-Sard theorem[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2004, 5(7): 754-758.
[5] YING Yi-ming, LIU Xiao-feng. A CLASS OF MARCINKIEWICZ INTEGRAL OPERATORS ON PRODUCT DOMAINS[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2001, 2(3): 257-260.
[6] Chen Zhi-Guo. A problem on extremal quasiconformal extensions[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 0, (): 198-202.
[7] WU Zheng-chang. Vector refinement equation and subdivision schemes in Lp spaces[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2002, 3(3): 332-338.
[8] CHEN Zhi-guo. Riemann surface with almost positive definite metric*[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6( 7): 23-.
[9] Chen Zhi-Guo. A problem on extremal quasiconformal extensions[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2006, 7(Supplement 2): 198-202.