Some New Estimates of Hermite–Hadamard, Ostrowski and Jensen-Type Inclusions for h-Convex Stochastic Process via Interval-Valued Functions
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Some New Estimates of Hermite–Hadamard, Ostrowski and Jensen-Type Inclusions for h-Convex Stochastic Process via Interval-Valued Functions
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| Автор |
Afzal, W.
Prosviryakov, E. Y. El-Deeb, S. M. Almalki, Y. |
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| Тематика |
HERMITE–HADAMARD INEQUALITY
INTERVAL-VALUED FUNCTIONS JENSEN INEQUALITY OSTROWSKI INEQUALITY STOCHASTIC PROCESS STOCHASTIC SYSTEMS |
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| Описание |
Mathematical programming and optimization problems related to fluid dynamics are heavily influenced by stochastic processes associated with integral and variational inequalities. Furthermore, symmetry and convexity are intrinsically related. Over the last few years, both have become increasingly interconnected so that we can learn from one and apply it to the other. The objective of this note is to convert ordinary stochastic processes into interval stochastic processes due to the wide range of applications in various disciplines. We have developed Hermite–Hadamard ((Formula presented.)), Ostrowski-, and Jensen-type inequalities using interval h-convex stochastic processes. Our main results can be applied to a variety of new and well-known outcomes as specific situations. The results of this study are expected to stimulate future research on inequalities using fractional and fuzzy integral operators. Furthermore, we validate our main findings by providing some non-trivial examples. To demonstrate their general properties, we illustrate the connections between the examined results and those that have already been published. The results discussed in this article can be seen as improvements and refinements to results that have already been published. This is a fascinating subject that can be investigated in the future to identify equivalent inequalities for various convexity types. © 2023 by the authors.
Deanship of Scientific Research, King Khalid University: RGP2/366/44 The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through large group Research Project under grant number RGP2/366/44. |
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| Дата |
2024-04-05T16:19:11Z
2024-04-05T16:19:11Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/publishedVersion |
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| Идентификатор |
Afzal, W, Prosviryakov, EY, El-Deeb, SM & Almalki, Y 2023, 'Some New Estimates of Hermite–Hadamard, Ostrowski and Jensen-Type Inclusions for h-Convex Stochastic Process via Interval-Valued Functions', Symmetry, Том. 15, № 4, 831. https://doi.org/10.3390/sym15040831
Afzal, W., Prosviryakov, E. Y., El-Deeb, S. M., & Almalki, Y. (2023). Some New Estimates of Hermite–Hadamard, Ostrowski and Jensen-Type Inclusions for h-Convex Stochastic Process via Interval-Valued Functions. Symmetry, 15(4), [831]. https://doi.org/10.3390/sym15040831 2073-8994 Final All Open Access, Gold https://www.scopus.com/inward/record.uri?eid=2-s2.0-85152142988&doi=10.3390%2fsym15040831&partnerID=40&md5=90f63632b9d8168b18bfec11d238d832 https://www.mdpi.com/2073-8994/15/4/831/pdf?version=1680144555 http://elar.urfu.ru/handle/10995/130377 10.3390/sym15040831 85152142988 000981076400001 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
cc-by https://creativecommons.org/licenses/by/4.0/ |
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| Формат |
application/pdf
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| Издатель |
MDPI
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| Источник |
Symmetry
Symmetry |
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