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Two Weighted Higher-Order Dynamic Inequalities of Opial Type with Two Functions

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SPRINGER BASEL AG
DOI: 10.1007/s12346-022-00592-z

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Opial's inequality; Holder's inequality; Dynamic inequality; Time scales

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In this paper, new dynamic inequalities of Opial type involving higher-order derivatives of two functions with two different weights on time scales are proven. Special cases are derived and some versions of recent results are improved from these inequalities.
In this paper, we prove some new dynamic inequalities of Opial type involving higher-order derivatives of two functions, with two different weights on time scales. From these inequalities, we will derive some special cases and give an improvement of some versions of recent results.

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