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Higher dimensions opial diamond-alpha inequalities on time scales

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In this paper, we generalize Opial inequality to higher dimensions on time scales. We prove the Opial Delta-nabla inequality of n variables, and then give two diamond-alpha dynamic inequalities of… Click to show full abstract

In this paper, we generalize Opial inequality to higher dimensions on time scales. We prove the Opial Delta-nabla inequality of n variables, and then give two diamond-alpha dynamic inequalities of Opial type of n variables. As well, we introduce some special cases. Mathematics subject classification (2020): 26E70, 26E25.

Keywords: time scales; dimensions opial; higher dimensions; diamond alpha

Journal Title: Journal of Mathematical Inequalities
Year Published: 2021

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