<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></abstract>

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.

Some Improvements of Hölder's Inequality on Time Scales

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Some Improvements of Hölder's Inequality on Time Scales"}

The theory and applications of dynamic derivatives on time scales have recently received considerable interest. In this paper, we define a function using the...

Some Improvements of Hölder's Inequality on Time Scales

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
Time scales, convex function, dynamic derivatives, Hölder's inequality

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Some Improvements of Hölder's Inequality on Time Scales

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

KeywordsTime scales, convex function, dynamic derivatives, Hölder's inequality

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Time scales, convex function, dynamic derivatives, Hölder's inequality