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New Inequalities of Simpson’s type for differentiable functions via generalized convex function
Farooq, Shan E.1  ; Shabir, Khurram2 ; Qaisar, Shahid3 ; Ahmad, Farooq4, 5  ; Almatroud, O. A.5
1 Department of Mathematics, Government College University, Lahore, Punjab, Pakistan
2 Department of Mathematics, Government College University, Lahore, Punjab, Pakistan.
3 Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Pakistan.
4 Department of Mathematics, College of Sciences, University of Ha’il, Ha’il, KSA.
5 School of Mechanical and Aerospace Engineering, NANYANG Technological University, Singapore.
Comptes Rendus. Mathématique, Tome 359 (2021) no. 2, pp. 137-147

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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DOI : 10.5802/crmath.152
Classification : 26A15, 26A51, 26D10

Farooq, Shan E. 1 ; Shabir, Khurram 2 ; Qaisar, Shahid 3 ; Ahmad, Farooq 4, 5 ; Almatroud, O. A. 5

1 Department of Mathematics, Government College University, Lahore, Punjab, Pakistan
2 Department of Mathematics, Government College University, Lahore, Punjab, Pakistan.
3 Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Pakistan.
4 Department of Mathematics, College of Sciences, University of Ha’il, Ha’il, KSA.
5 School of Mechanical and Aerospace Engineering, NANYANG Technological University, Singapore.
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     author = {Farooq, Shan E. and Shabir, Khurram and Qaisar, Shahid and Ahmad, Farooq and Almatroud, O. A.},
     title = {New {Inequalities} of {Simpson{\textquoteright}s} type for differentiable functions via generalized convex function},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {137--147},
     year = {2021},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {359},
     number = {2},
     doi = {10.5802/crmath.152},
     language = {en},
     url = {https://www.numdam.org/articles/10.5802/crmath.152/}
}
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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, Tome 359 (2021) no. 2, pp. 137-147. doi: 10.5802/crmath.152

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