| Authors: | Mirković, Tatjana Z. Tričković, Slobodan B. Stanković, Miomir S. |
Title: | Opial inequality in q-calculus | Journal: | Journal of Inequalities and Applications | Volume: | 2018 | Issue Date: | 1-Jan-2018 | ISSN: | 10255834 | DOI: | 10.1186/s13660-018-1928-z | URL: | https://api.elsevier.com/content/abstract/scopus_id/85058973212 | Abstract: | © 2018, The Author(s). In this article we give q-analogs of the Opial inequality for q-decreasing functions. Using a closed form of the restricted q-integral (see Gauchman in Comput. Math. Appl. 47:281–300, 2004), we establish a new integral inequality of the q-Opial type. |
Keywords: | Opial’s inequality | q-derivative | q-integral |
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