Geodesic
Extensions of Holder-type inequalities on time scales and their applications
Tian, Jing-Feng1 ; Ha, Ming-Hu2
1 College of Science and Technology, North China Electric Power University, Baoding, Hebei Province, 071051, P. R. China
2 School of Science, Hebei University of Engineering, Handan, Hebei Province, 056038, P. R. China
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 3, p. 937-953.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we present some new extensions of Hölder-type inequalities on time scales via diamond-$\alpha$ integral. Moreover, the obtained results are used to generalize Minkowski’s inequality and Beckenbach-Dresher’s inequality on time scales.
DOI : 10.22436/jnsa.010.03.07
Classification : 26D15, 39A13
Keywords: Hölder-type inequality, diamond-\(\alpha\) integral, time scales, Minkowski’s inequality, Beckenbach-Dresher’s inequality.

Tian, Jing-Feng 1 ; Ha, Ming-Hu 2

1 College of Science and Technology, North China Electric Power University, Baoding, Hebei Province, 071051, P. R. China
2 School of Science, Hebei University of Engineering, Handan, Hebei Province, 056038, P. R. China 
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Tian, Jing-Feng; Ha, Ming-Hu. Extensions of Holder-type inequalities on time scales and their applications. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 3, p. 937-953. doi : 10.22436/jnsa.010.03.07. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.03.07/

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