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Diamond-alpha inequalities with two parameters on time scales
(Transilvania University of Brasov 1, 2023) Benaissa, B.; Sarıkaya, Mehmet Zeki
In this article, we give a new version of n-tuple diamond-alpha Hölder inequality on time scales, this result generalizes some results known in the literature. Second, we present n-tuple diamond-alpha inequality with two parameters on time scales. It is a tool to generalize integral inequalities on time scales, its goal is to create an inequality restarted from the left side with a parameter to a right side with two parameters. Moreover, new Minkowski integral inequality with two parameters is given, and some interesting integral inequalities are found. © 2023, Transilvania University of Brasov 1. All rights reserved.
Generalization of some hardy-type integral inequality with negative parameter
(Transilvania University of Brasov 1, 2020) Benaissa, B.; Sarıkaya, Mehmet Zeki
In 2007, Bicheng Yang [3] presented a new Hardy-type integral inequality with a best constant factor. The aim of this work is to give a direct generalization of these inequalities obtained with negative parameter p < 0. © 2020, Transilvania University of Brasov 1. All rights reserved.