On some Simpson's and Newton's type of inequalities in multiplicative calculus with applications
In this paper, we establish an integral equality involving a multiplicative differentiable function for the multiplicative integral. Then, we use the newly established equality to prove some new Simpson's and Newton's inequalities for multiplicative differentiable functions. Finally, we gi...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023193?viewType=HTML |
| _version_ | 1797950797094322176 |
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| author | Saowaluck Chasreechai Muhammad Aamir Ali Surapol Naowarat Thanin Sitthiwirattham Kamsing Nonlaopon |
| author_facet | Saowaluck Chasreechai Muhammad Aamir Ali Surapol Naowarat Thanin Sitthiwirattham Kamsing Nonlaopon |
| author_sort | Saowaluck Chasreechai |
| collection | DOAJ |
| description | In this paper, we establish an integral equality involving a multiplicative differentiable function for the multiplicative integral. Then, we use the newly established equality to prove some new Simpson's and Newton's inequalities for multiplicative differentiable functions. Finally, we give some mathematical examples to show the validation of newly established inequalities. |
| first_indexed | 2024-04-10T22:20:53Z |
| format | Article |
| id | doaj.art-643c456fd55148ab8a1710b42577435a |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-10T22:20:53Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-643c456fd55148ab8a1710b42577435a2023-01-18T01:07:55ZengAIMS PressAIMS Mathematics2473-69882023-01-01823885389610.3934/math.2023193On some Simpson's and Newton's type of inequalities in multiplicative calculus with applicationsSaowaluck Chasreechai 0Muhammad Aamir Ali1Surapol Naowarat2Thanin Sitthiwirattham3Kamsing Nonlaopon41. Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand2. Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China3. Department of Mathematics, Faculty of Science and Technology, Suratthani Rajabhat University, Surat Thani 84100, Thailand4. Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, Thailand5. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandIn this paper, we establish an integral equality involving a multiplicative differentiable function for the multiplicative integral. Then, we use the newly established equality to prove some new Simpson's and Newton's inequalities for multiplicative differentiable functions. Finally, we give some mathematical examples to show the validation of newly established inequalities.https://www.aimspress.com/article/doi/10.3934/math.2023193?viewType=HTMLsimpson's inequalitiesnewton's inequalitiesconvex functionsmultiplicative calculus |
| spellingShingle | Saowaluck Chasreechai Muhammad Aamir Ali Surapol Naowarat Thanin Sitthiwirattham Kamsing Nonlaopon On some Simpson's and Newton's type of inequalities in multiplicative calculus with applications AIMS Mathematics simpson's inequalities newton's inequalities convex functions multiplicative calculus |
| title | On some Simpson's and Newton's type of inequalities in multiplicative calculus with applications |
| title_full | On some Simpson's and Newton's type of inequalities in multiplicative calculus with applications |
| title_fullStr | On some Simpson's and Newton's type of inequalities in multiplicative calculus with applications |
| title_full_unstemmed | On some Simpson's and Newton's type of inequalities in multiplicative calculus with applications |
| title_short | On some Simpson's and Newton's type of inequalities in multiplicative calculus with applications |
| title_sort | on some simpson s and newton s type of inequalities in multiplicative calculus with applications |
| topic | simpson's inequalities newton's inequalities convex functions multiplicative calculus |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023193?viewType=HTML |
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