دورية أكاديمية
Ostrowski and Čebyšev type inequalities for interval-valued functions and applications.
| العنوان: | Ostrowski and Čebyšev type inequalities for interval-valued functions and applications. |
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| المؤلفون: | Jing Guo, Xianjun Zhu, Wenfeng Li, Hui Li |
| المصدر: | PLoS ONE, Vol 18, Iss 9, p e0291349 (2023) |
| بيانات النشر: | Public Library of Science (PLoS), 2023. |
| سنة النشر: | 2023 |
| المجموعة: | LCC:Medicine LCC:Science |
| مصطلحات موضوعية: | Medicine, Science |
| الوصف: | As an essential part of classical analysis, Ostrowski and Čebyšev type inequalities have recently attracted considerable attention. Due to its universality, the non-additive integral inequality takes several forms, including Sugeno integrals, Choquet integrals, and pseudo-integrals. Set-valued analysis, a well-known generalization of classical analysis, is frequently employed in studying mathematical economics, control theory, etc. Inspired by pioneering work on interval-valued inequalities, this paper establishes specific Ostrowski and Čebyšev type inequalities for interval-valued functions. Moreover, the error estimation to quadrature rules is presented as some applications for illustrating our results. In addition, illustrative examples are offered to demonstrate the applicability of the mathematical methods presented. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1932-6203 |
| العلاقة: | https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0291349&type=printableTest; https://doaj.org/toc/1932-6203Test |
| DOI: | 10.1371/journal.pone.0291349&type=printable |
| DOI: | 10.1371/journal.pone.0291349 |
| الوصول الحر: | https://doaj.org/article/4d8ebf7590104067997b84fed6d4c7a3Test |
| رقم الانضمام: | edsdoj.4d8ebf7590104067997b84fed6d4c7a3 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 19326203 |
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| DOI: | 10.1371/journal.pone.0291349&type=printable |