Generalization Of Mitrinović–Pečarić Inequalities On Time Scales
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Date
2021
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Abstract
We prove some new inequalities of Mitrinović–Pečarić inequalities for convex functions on an arbitrary time scale using delta integrals. These inequalities extend and improve some known dynamic inequalities in the literature. The main results will be proved by using Hölder and Jensen inequalities and a simple consequence of Keller’s and Poetzsche’s chain rules on time scales. c Rocky Mountain Mathematics Consortium
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Convexity, Dynamic Inequality, Mitrinović–Pecarić Inequality, Time Scale
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El-Deeb, Ahmed A.; Akin, Elvan; Kaymakçalan, B. (2021). "Generalization Of Mitrinović–Pečarić Inequalities On Time Scales", Rocky Mountain Journal of Mathematics, Vol.51, No.6, pp.1909-1918.
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Rocky Mountain Journal of Mathematics
Volume
51
Issue
6
Start Page
1909
End Page
1918