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.

Revised:

Accepted:

Published online:

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

@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}, }

TY - JOUR AU - Shan E. Farooq AU - Khurram Shabir AU - Shahid Qaisar AU - Farooq Ahmad AU - O. A. Almatroud TI - New Inequalities of Simpson’s type for differentiable functions via generalized convex function JO - Comptes Rendus. Mathématique PY - 2021 SP - 137 EP - 147 VL - 359 IS - 2 PB - Académie des sciences, Paris DO - 10.5802/crmath.152 LA - en ID - CRMATH_2021__359_2_137_0 ER -

%0 Journal Article %A Shan E. Farooq %A Khurram Shabir %A Shahid Qaisar %A Farooq Ahmad %A O. A. Almatroud %T New Inequalities of Simpson’s type for differentiable functions via generalized convex function %J Comptes Rendus. Mathématique %D 2021 %P 137-147 %V 359 %N 2 %I Académie des sciences, Paris %R 10.5802/crmath.152 %G en %F CRMATH_2021__359_2_137_0

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/

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