Abstract
We prove some new inequalities of Mitrinović–Pečarić inequalities for convex functions on an arbitrary time scale using delta integrals. These inequalities extend and improve some known dynamic inequalities in the literature. The main results will be proved by using Hölder and Jensen inequalities and a simple consequence of Keller's and Poetzsche's chain rules on time scales.
Recommended Citation
A. A. El-Deeb et al., "Generalization of Mitrinović–Pečarić Inequalities on Time Scales," Rocky Mountain Journal of Mathematics, vol. 51, no. 6, pp. 1909 - 1918, Project Euclid, Dec 2021.
The definitive version is available at https://doi.org/10.1216/rmj.2021.51.1909
Department(s)
Mathematics and Statistics
Keywords and Phrases
convexity; dynamic inequality; Mitrinović–Pecarić inequality; time scale
International Standard Serial Number (ISSN)
1945-3795; 0035-7596
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Project Euclid, All rights reserved.
Publication Date
01 Dec 2021
