Abstract | ||
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This paper provides novel generalizations by considering the generalized conformable fractional integrals for reverse Copson's type inequalities on time scales. The main results will be proved using a general algebraic inequality, chain rule, Holder's inequality, and integration by parts on fractional time scales. Our investigations unify and extend some continuous inequalities and their corresponding discrete analogues. In addition, when alpha = 1, we obtain some well-known time scale inequalities due to Hardy, Copson, Bennett, and Leindler inequalities. |
Year | DOI | Venue |
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2021 | 10.3390/sym13040542 | SYMMETRY-BASEL |
Keywords | DocType | Volume |
Copson’, s inequality, Hö, lder’, s inequality, time scales, conformable fractional calculus | Journal | 13 |
Issue | Citations | PageRank |
4 | 0 | 0.34 |
References | Authors | |
0 | 6 |
Name | Order | Citations | PageRank |
---|---|---|---|
Mohammed Zakarya | 1 | 0 | 2.37 |
Mohamed Altanji | 2 | 0 | 0.34 |
Ghada AlNemer | 3 | 0 | 1.69 |
Hoda A. Abd El-Hamid | 4 | 0 | 0.68 |
Clemente Cesarano | 5 | 0 | 1.35 |
Haytham M. Rezk | 6 | 0 | 2.37 |