WEIGHTED DYNAMIC ESTIMATES FOR CONVEX AND SUBHARMONIC FUNCTIONS ON TIME SCALES
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.
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
Mathematics and Statistics
Keywords and Phrases
convex function; Poincaré-type inequality; subharmonic function; Time scale integrals
International Standard Serial Number (ISSN)
Article - Journal
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01 Apr 2023