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

doi:10.5802/crmath.152

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

Shan E. Farooq ¹ ; Khurram Shabir ² ; Shahid Qaisar ³ ; Farooq Ahmad ^4,⁵ ; O. A. Almatroud 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, Volume 359 (2021) no. 2, pp. 137-147.

Résumé

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.

Reçu le : 2020-07-19
Révisé le : 2020-08-16
Accepté le : 2020-11-17
Publié le : 2021-03-17

DOI : 10.5802/crmath.152

Classification : 26A15, 26A51, 26D10

Affiliations des auteurs :

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

@article{CRMATH_2021__359_2_137_0,
     author = {Shan E. Farooq and Khurram Shabir and Shahid Qaisar and Farooq Ahmad and O. A. Almatroud},
     title = {New {Inequalities} of {Simpson{\textquoteright}s} type for differentiable functions via generalized convex function},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {137--147},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {359},
     number = {2},
     year = {2021},
     doi = {10.5802/crmath.152},
     language = {en},
}

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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. Comptes Rendus. Mathématique, Volume 359 (2021) no. 2, pp. 137-147. doi : 10.5802/crmath.152. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.152/

Bibliographie
Cité par

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