Some Improvement on Hilbert's Inequality and Its Application
Some Improvement on Hilbert's Inequality and Its Application
摘要
A new improvement of Hilbert's inequality for double series can be establishedby means of a strengthened Cauchy's inequality. As application, a quite sharp result onFejer-Riesz's inequality is obtained.
参考文献4
-
1HARDY G H, LITTLEWOOD J E, POLYA G. Inequalities[M]. Cambridge: Cambridge Univ Press, 1952.
-
2HU Ke. On Hilbert-Ingham inequality and its applications[J]. Journal of Mathematical Research and Exposition, 1996, 16(4): 521-525.
-
3胡克.一个新的不等式的若干应用[J].数学理论与应用,2002,22(2):1-6. 被引量:4
-
4DUREN P L. Theory of Hp Space[M]. New York: Academic Press, 1970, 60-61.
-
1王斯雷.ON A PROBLEM OF A. ZYGMUND[J].Chinese Science Bulletin,1966,24(4).
-
2胡克.关于Fejer-Riesz不等式(英文)[J].数学进展,1999,28(4):309-312. 被引量:4
-
3高明哲.Hilbert型不等式及其应用[J].数学理论与应用,2005,25(4):78-81. 被引量:1
-
4H.M.SRIVASTAVA,M.I.QURESHI,Kaleem A.QURAISHI,Ashish ARORA.APPLICATIONS OF HYPERGEOMETRIC SUMMATION THEOREMS OF KUMMER AND DIXON INVOLVING DOUBLE SERIES[J].Acta Mathematica Scientia,2014,34(3):619-628. 被引量:1
-
5李鹏飞,曹海静.Lattice distortion in disordered antiferromagnetic XY models[J].Chinese Physics B,2012,21(7):499-501.
-
6周兆妍,袁建民.Strengthened Hyper-Raman Lines with the Coherent Superposition State[J].Chinese Physics Letters,2007,24(3):683-686. 被引量:1
-
7卢道明.Influence of selective atomic measurement on the entanglement properties of a two-atom outside cavity[J].Chinese Physics B,2011,20(3):43-47.
-
8李劲,黄建华.Dynamics of stochastic non-Newtonian fluids driven by fractional Brownian motion with Hurst parameter H∈(1/4,1/2)[J].Applied Mathematics and Mechanics(English Edition),2013,34(2):189-208. 被引量:2
-
9欧阳煜,杨骁,包若涵.Nonlinear stability of timber column strengthened with fiber reinforced polymer[J].Applied Mathematics and Mechanics(English Edition),2011,32(7):903-916.
-
10杨必成.On a Refinement of Hardy-Hilbert's Inequality and Its Applications[J].Northeastern Mathematical Journal,2000,16(3):279-286. 被引量:4