Some Integral Inequalities on Time Scales
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摘要: 研究了时间尺度上二维逆Hlder型不等式和Hlder不等式.还利用时间尺度上的Hlder不等式,给出了许多积分不等式.Hardy不等式是其特殊情况.Abstract: The reverse Hêlder type inequality and Hêlder inequality in two dimensional case on time scales were studied. Many integral inequalities by using Hêlder inequalities on time scales were also obtained which give Hardy. sinequalities as spacial cases.
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Key words:
- integral inequality /
- Hêlder’s inequality /
- Hardy’s inequality /
- time scales /
- reverse inequality
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[1] Hilger S. Analysis on measure chains-a unified approach to continuous and discrete calculus[J].Result Math,1990,18:18-56. [2] Agarwal R P, Bohner M,O'Regan D,et al.Peterson, dynamic equations on time scale: a survey[J].J Comput Appl Math,2002,141:1-26. doi: 10.1016/S0377-0427(01)00432-0 [3] Bohner M, Peterson A.Dynamic Equations on Time Scale, An Introduction With Applications[M].Boston: Birkhauser, 2001. [4] Saitoh S, Tuan V K,Yamamoto M. Reverse convolution inequalities and applications to inverse heat source problems[J].J Ineq in Pure Appl Math,2003,3(5), Article 80. [5] Krnic M, Pecaric J.General Hilbert's an Hardy's inequality[J].Math Ineq Appl,2005,8:29-51.
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