Abstract
Integral-type inequalities and dynamic equations have an important place in time scales. In this paper, we present some innovations of n-dimensional Minkowski’s integral-type inequality on time scales via lozenge _{alpha } -integral.
Highlights
1 Introduction For more than a quarter century, the theory of time scales, whose founder was German mathematician Stefan Hilger [1], played an important role in differential calculus, difference calculus, and quantum calculus. This theory was quickly developed by many mathematicians, who added many innovations to the literature by using integral-type inequalities and dynamic equations on time scales [2,3,4,5,6,7,8,9,10,11,12]
Wong et al [6, 7] expressed some integral equations on time scales
4 Conclusion Recently, the concept of inequalities in time scales has gained an important place in the scientific literature
Summary
For more than a quarter century, the theory of time scales, whose founder was German mathematician Stefan Hilger [1], played an important role in differential calculus, difference calculus, and quantum calculus. This theory was quickly developed by many mathematicians, who added many innovations to the literature by using integral-type inequalities and dynamic equations on time scales [2,3,4,5,6,7,8,9,10,11,12]. Wong et al [6, 7] expressed some integral equations on time scales. Ozkan et al [10] demonstrated extensions of some integral inequalities on time scales.
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