Generalization of Mitrinovic-Pecaric Inequalities on Time Scales
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Date
2021
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Publisher
Rocky Mt Math Consortium
Open Access Color
Green Open Access
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Abstract
We prove some new inequalities of Mitrinovic-Pecaric 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 Holder and Jensen inequalities and a simple consequence of Keller's and Poetzsche's chain rules on time scales.
Description
Eldeeb, Ahmed/0000-0003-2822-4092
ORCID
Keywords
Mitrinovic-Pecaric Inequality, Dynamic Inequality, Convexity, Time Scale, Mitrinović-Pečarić inequality, convexity, Real analysis on time scales or measure chains, Differential inequalities involving functions of a single real variable, time scale, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, dynamic inequality
Turkish CoHE Thesis Center URL
Fields of Science
0101 mathematics, 01 natural sciences
Citation
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.
WoS Q
Q2
Scopus Q
Q3
OpenCitations Citation Count
6
Source
Rocky Mountain Journal of Mathematics
Volume
51
Issue
6
Start Page
1909
End Page
1918
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Citations
Scopus : 7
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2.10934075
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