WEIGHTED DYNAMIC ESTIMATES FOR CONVEX AND SUBHARMONIC FUNCTIONS ON TIME SCALES
Abstract
This article introduces a new type of weighted square delta integral inequalities involving the delta derivative of a convex function. As an extension, we also establish weighted square delta integral inequalities for subharmonic functions on time scales. Here, we rely on a new definition of the time scales Laplace operator. The significance of this work in the existing literature is provided at the end of the article.
Recommended Citation
H. A. Baig et al., "WEIGHTED DYNAMIC ESTIMATES FOR CONVEX AND SUBHARMONIC FUNCTIONS ON TIME SCALES," Mathematical Inequalities and Applications, vol. 26, no. 2, pp. 499 - 510, Ele-Math, Apr 2023.
The definitive version is available at https://doi.org/10.7153/mia-2023-26-32
Department(s)
Mathematics and Statistics
Keywords and Phrases
convex function; Poincaré-type inequality; subharmonic function; Time scale integrals
International Standard Serial Number (ISSN)
1331-4343
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 Ele-Math, All rights reserved.
Publication Date
01 Apr 2023
