Weighted Ostrowski type inequalities via Montgomery identity involving double integrals on time scales
In this paper, the Montgomery identity is generalized for double integrals on time scales by employing a novel analytical approach to develop the generalized Ostrowski type integral inequalities involving double integrals. Some inimitable cases are discussed for different parameters and parametric f...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-07-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022913?viewType=HTML |
| _version_ | 1818048564694089728 |
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| author | Atiqe Ur Rahman Khuram Ali Khan Ammara Nosheen Muhammad Saeed Thongchai Botmart Nehad Ali Shah |
| author_facet | Atiqe Ur Rahman Khuram Ali Khan Ammara Nosheen Muhammad Saeed Thongchai Botmart Nehad Ali Shah |
| author_sort | Atiqe Ur Rahman |
| collection | DOAJ |
| description | In this paper, the Montgomery identity is generalized for double integrals on time scales by employing a novel analytical approach to develop the generalized Ostrowski type integral inequalities involving double integrals. Some inimitable cases are discussed for different parameters and parametric functions. Moreover, applications to some particular time scales are also presented. |
| first_indexed | 2024-12-10T10:23:42Z |
| format | Article |
| id | doaj.art-8f1d535648754eeeb8a62c9196f85565 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-10T10:23:42Z |
| publishDate | 2022-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-8f1d535648754eeeb8a62c9196f855652022-12-22T01:52:47ZengAIMS PressAIMS Mathematics2473-69882022-07-0179166571667210.3934/math.2022913Weighted Ostrowski type inequalities via Montgomery identity involving double integrals on time scalesAtiqe Ur Rahman0Khuram Ali Khan1Ammara Nosheen2Muhammad Saeed3Thongchai Botmart 4Nehad Ali Shah51. Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan2. Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan2. Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan1. Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan3. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand4. Department of Mechanical Engineering, Sejong University, Seoul 05006, South KoreaIn this paper, the Montgomery identity is generalized for double integrals on time scales by employing a novel analytical approach to develop the generalized Ostrowski type integral inequalities involving double integrals. Some inimitable cases are discussed for different parameters and parametric functions. Moreover, applications to some particular time scales are also presented.https://www.aimspress.com/article/doi/10.3934/math.2022913?viewType=HTMLostrowski inequalitiesmontgomery identitytime scalespolynomials |
| spellingShingle | Atiqe Ur Rahman Khuram Ali Khan Ammara Nosheen Muhammad Saeed Thongchai Botmart Nehad Ali Shah Weighted Ostrowski type inequalities via Montgomery identity involving double integrals on time scales AIMS Mathematics ostrowski inequalities montgomery identity time scales polynomials |
| title | Weighted Ostrowski type inequalities via Montgomery identity involving double integrals on time scales |
| title_full | Weighted Ostrowski type inequalities via Montgomery identity involving double integrals on time scales |
| title_fullStr | Weighted Ostrowski type inequalities via Montgomery identity involving double integrals on time scales |
| title_full_unstemmed | Weighted Ostrowski type inequalities via Montgomery identity involving double integrals on time scales |
| title_short | Weighted Ostrowski type inequalities via Montgomery identity involving double integrals on time scales |
| title_sort | weighted ostrowski type inequalities via montgomery identity involving double integrals on time scales |
| topic | ostrowski inequalities montgomery identity time scales polynomials |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022913?viewType=HTML |
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