New Inequalities of Simpson’s type for differentiable functions via generalized convex function
This article presents some new inequalities of Simpson’s type for differentiable functions by using $(\alpha ,m) $-convexity. Some results for concavity are also obtained. These new estimates improve on the previously known ones. Some applications for special means of real numbers are also provided....
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Académie des sciences
2021-03-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.152/ |
| _version_ | 1797651561966469120 |
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| author | Farooq, Shan E. Shabir, Khurram Qaisar, Shahid Ahmad, Farooq Almatroud, O. A. |
| author_facet | Farooq, Shan E. Shabir, Khurram Qaisar, Shahid Ahmad, Farooq Almatroud, O. A. |
| author_sort | Farooq, Shan E. |
| collection | DOAJ |
| description | This article presents some new inequalities of Simpson’s type for differentiable functions by using $(\alpha ,m) $-convexity. Some results for concavity are also obtained. These new estimates improve on the previously known ones. Some applications for special means of real numbers are also provided. |
| first_indexed | 2024-03-11T16:17:36Z |
| format | Article |
| id | doaj.art-ba75b8adde0a42d0bccff752af519270 |
| institution | Directory Open Access Journal |
| issn | 1778-3569 |
| language | English |
| last_indexed | 2024-03-11T16:17:36Z |
| publishDate | 2021-03-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj.art-ba75b8adde0a42d0bccff752af5192702023-10-24T14:18:40ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692021-03-01359213714710.5802/crmath.15210.5802/crmath.152New Inequalities of Simpson’s type for differentiable functions via generalized convex functionFarooq, Shan E.0https://orcid.org/0000-0002-9420-2484Shabir, Khurram1Qaisar, Shahid2Ahmad, Farooq3Almatroud, O. A.4Department of Mathematics, Government College University, Lahore, Punjab, PakistanDepartment of Mathematics, Government College University, Lahore, Punjab, Pakistan.Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Pakistan.Department of Mathematics, College of Sciences, University of Ha’il, Ha’il, KSA.; School of Mechanical and Aerospace Engineering, NANYANG Technological University, Singapore.School of Mechanical and Aerospace Engineering, NANYANG Technological University, Singapore.This article presents some new inequalities of Simpson’s type for differentiable functions by using $(\alpha ,m) $-convexity. Some results for concavity are also obtained. These new estimates improve on the previously known ones. Some applications for special means of real numbers are also provided.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.152/ |
| spellingShingle | Farooq, Shan E. Shabir, Khurram Qaisar, Shahid Ahmad, Farooq Almatroud, O. A. New Inequalities of Simpson’s type for differentiable functions via generalized convex function Comptes Rendus. Mathématique |
| title | New Inequalities of Simpson’s type for differentiable functions via generalized convex function |
| title_full | New Inequalities of Simpson’s type for differentiable functions via generalized convex function |
| title_fullStr | New Inequalities of Simpson’s type for differentiable functions via generalized convex function |
| title_full_unstemmed | New Inequalities of Simpson’s type for differentiable functions via generalized convex function |
| title_short | New Inequalities of Simpson’s type for differentiable functions via generalized convex function |
| title_sort | new inequalities of simpson s type for differentiable functions via generalized convex function |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.152/ |
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