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 (α,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.

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Main Authors:	Shan E. Farooq, Khurram Shabir, Shahid Qaisar, Farooq Ahmad, O. A. Almatroud
Other Authors:	School of Mechanical and Aerospace Engineering
Format:	Article
Language:	English
Published:	2022
Subjects:	Science::Mathematics Simpson’s Inequalities
Online Access:	https://hdl.handle.net/10356/155772
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Institution:	Nanyang Technological University
Language:	English

id	sg-ntu-dr.10356-155772
record_format	dspace
spelling	sg-ntu-dr.10356-1557722022-03-23T01:06:15Z New inequalities of Simpson’s type for differentiable functions via generalized convex function Shan E. Farooq Khurram Shabir Shahid Qaisar Farooq Ahmad O. A. Almatroud School of Mechanical and Aerospace Engineering Science::Mathematics Simpson’s Inequalities This article presents some new inequalities of Simpson’s type for differentiable functions by using (α,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. Published version This work was supported by the Higher Education Commission (Islamabad) thorough the National Research Program for Universities, Grant No. 7359/Punjab/NRPU/R&D/HEC/2017. 2022-03-23T01:06:15Z 2022-03-23T01:06:15Z 2021 Journal Article Shan E. Farooq, Khurram Shabir, Shahid Qaisar, Farooq Ahmad & O. A. Almatroud (2021). New inequalities of Simpson’s type for differentiable functions via generalized convex function. Comptes Rendus Mathématique, 359(2), 137-147. https://dx.doi.org/10.5802/crmath.152 1631-073X https://hdl.handle.net/10356/155772 10.5802/crmath.152 2 359 137 147 en Comptes Rendus Mathématique © 2021 Académie des sciences, Paris and the authors. Some rights reserved. This article is licensed under the Creative Commons Attribution 4.0 International License. http://creativecommons.org/licenses/by/4.0/. application/pdf
institution	Nanyang Technological University
building	NTU Library
continent	Asia
country	Singapore Singapore
content_provider	NTU Library
collection	DR-NTU
language	English
topic	Science::Mathematics Simpson’s Inequalities
spellingShingle	Science::Mathematics Simpson’s Inequalities Shan E. Farooq Khurram Shabir Shahid Qaisar Farooq Ahmad O. A. Almatroud New inequalities of Simpson’s type for differentiable functions via generalized convex function
description	This article presents some new inequalities of Simpson’s type for differentiable functions by using (α,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.
author2	School of Mechanical and Aerospace Engineering
author_facet	School of Mechanical and Aerospace Engineering Shan E. Farooq Khurram Shabir Shahid Qaisar Farooq Ahmad O. A. Almatroud
format	Article
author	Shan E. Farooq Khurram Shabir Shahid Qaisar Farooq Ahmad O. A. Almatroud
author_sort	Shan E. Farooq
title	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_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_sort	new inequalities of simpson’s type for differentiable functions via generalized convex function
publishDate	2022
url	https://hdl.handle.net/10356/155772
_version_	1728433407963168768

New inequalities of Simpson’s type for differentiable functions via generalized convex function

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