Abstract
In this article, we study the reverse Hölder type inequality and Hölder inequality in two dimensional case on time scales. We also obtain many integral inequalities by using Hölder inequalities on time scales which give Hardy’s inequalities as spacial cases.
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References
Hilger S. Analysis on measure chains—a unified approach to continuous and discrete calculus[J]. Result Math, 1990, 18:18–56.
Agarwal R P, Bohner M, O’Regan D, Peterson A. Dynamic equations on time scale: A survey [J]. J Comput Appl Math, 2002, 141(1,2):1–26.
Bohner M, Peterson A. Dynamic equations on time scale, an introduction with applications[M]. Boston: Birkhauser, 2001.
Saitoh S, Tuan V K, Yamamoto M. Reverse convolution inequalities and applications to inverse heat source problems[J]. J Ineq in Pure and Appl Math, 2002, 3(5), Article 80.
Krnıć M, Pećarıćc J. General Hilbert’s an Hardy’s inequality[J]. Math Ineq and Appl, 2005, 8:29–51.
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Tuna, A., Kutukcu, S. Some integral inequalities on time scales. Appl. Math. Mech.-Engl. Ed. 29, 23–29 (2008). https://doi.org/10.1007/s10483-008-0104-y
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DOI: https://doi.org/10.1007/s10483-008-0104-y