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:

^{1}; Shabir, Khurram

^{2}; Qaisar, Shahid

^{3}; Ahmad, Farooq

^{4, 5}; Almatroud, O. A.

^{5}

@article{CRMATH_2021__359_2_137_0, 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}, publisher = {Acad\'emie des sciences, Paris}, volume = {359}, number = {2}, year = {2021}, doi = {10.5802/crmath.152}, language = {en}, url = {http://www.numdam.org/articles/10.5802/crmath.152/} }

TY - JOUR AU - Farooq, Shan E. AU - Shabir, Khurram AU - Qaisar, Shahid AU - Ahmad, Farooq AU - Almatroud, O. A. 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 UR - http://www.numdam.org/articles/10.5802/crmath.152/ DO - 10.5802/crmath.152 LA - en ID - CRMATH_2021__359_2_137_0 ER -

%0 Journal Article %A Farooq, Shan E. %A Shabir, Khurram %A Qaisar, Shahid %A Ahmad, Farooq %A Almatroud, O. A. %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 %U http://www.numdam.org/articles/10.5802/crmath.152/ %R 10.5802/crmath.152 %G en %F CRMATH_2021__359_2_137_0

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, Volume 359 (2021) no. 2, pp. 137-147. doi : 10.5802/crmath.152. http://www.numdam.org/articles/10.5802/crmath.152/

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