Abstract | ||
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In this paper, we investigate some new generalizations and refinements for Holder's inequality and it's reverse on time scales through the diamond-alpha dynamic integral, which is defined as a linear combination of the delta and nabla integrals, which are used in various problems involving symmetry. We develop a number of those symmetric inequalities to a general time scale. Our results as special cases extend some integral dynamic inequalities and Qi's inequalities achieved on time scales and also include some integral disparities as particular cases when T=R. |
Year | DOI | Venue |
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2020 | 10.3390/sym12101716 | SYMMETRY-BASEL |
Keywords | DocType | Volume |
Holder's inequality,generalization,refinement,diamond-alpha integral,time scale | Journal | 12 |
Issue | Citations | PageRank |
10 | 0 | 0.34 |
References | Authors | |
0 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Mohammed Zakarya | 1 | 0 | 1.01 |
Hoda A. Abd El-Hamid | 2 | 0 | 0.34 |
Ghada AlNemer | 3 | 0 | 1.69 |
Haytham M. Rezk | 4 | 0 | 2.37 |