Adnan Tuna, Servet Kutukcu. Some Integral Inequalities on Time Scales[J]. Applied Mathematics and Mechanics, 2008, 29(1): 21-26.
Citation: Adnan Tuna, Servet Kutukcu. Some Integral Inequalities on Time Scales[J]. Applied Mathematics and Mechanics, 2008, 29(1): 21-26.

Some Integral Inequalities on Time Scales

  • Received Date: 2006-09-30
  • Rev Recd Date: 2007-11-28
  • Publish Date: 2008-01-15
  • 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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  • [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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