Some Improvements of Hölder's Inequality on Time Scales

Cristian Dinu; Mihai Stancu; Daniela Dănciulescu

doi:10.1515/auom-2017-0037

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Some Improvements of Hölder's Inequality on Time Scales

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 25 (2017): Issue 3 (December 2017)

By: Cristian Dinu, Mihai Stancu and Daniela Dănciulescu

Open Access

|Mar 2018

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.

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Articles in this issue

DOI: https://doi.org/10.1515/auom-2017-0037 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 83 - 96

Submitted on: Nov 25, 2016

Accepted on: Dec 21, 2016

Published on: Mar 31, 2018

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

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© 2018 Cristian Dinu, Mihai Stancu, Daniela Dănciulescu, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 25 (2017): Issue 3 (December 2017)