Published Online: Mar 31, 2018
Page range: 83 - 96
Received: Nov 25, 2016
Accepted: Dec 21, 2016
DOI: https://doi.org/10.1515/auom-2017-0037
Keywords
© 2018
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
The theory and applications of dynamic derivatives on time scales have recently received considerable interest. In this paper, we define a function using the combined diamond- α integral, investigate its monotonicity and give some refinements for Hölder's inequality. We present some applications for ℤ and ℝ.