Received:

Revised:

Accepted:

Published online:

DOI:
10.5802/crmath.152

Revised:

Accepted:

Published online:

Classification:
26A15,
26A51,
26D10

Author's affiliations:

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

License: CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

@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 TI - New Inequalities of Simpson’s type for differentiable functions via generalized convex function JO - Comptes Rendus. Mathématique PY - 2021 DA - 2021/// SP - 137 EP - 147 VL - 359 IS - 2 PB - Académie des sciences, Paris UR - https://doi.org/10.5802/crmath.152 DO - 10.5802/crmath.152 LA - en ID - CRMATH_2021__359_2_137_0 ER -

%0 Journal Article %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 https://doi.org/10.5802/crmath.152 %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/

[1] New inequalities of Simpson’s type for $s$-convex functions with applications (2009) (published in RGMIA Research report collection, https://rgmia.org/papers/v12n4/Simpson.pdf)

[2] On Simpson’s inequality and applications, J. Inequal. Appl., Volume 5 (2000) no. 6, pp. 533-579 | MR | Zbl

[3] The Hadamard inequalities for $s$-convex functions in the second sense, Demonstr. Math., Volume 32 (1999) no. 4, pp. 687-696 | MR | Zbl

[4] Certain integral inequalities considering generalized $m$-convexity on fractal sets and their applications, Fractals-Complex Geometry, Patterns,and Scaling, Fractals, Volume 27 (2019) no. 7, 1950117, 17 pages | Zbl

[5] Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula, Appl. Math. Comput., Volume 147 (2004) no. 1, pp. 137-146 | MR | Zbl

[6] An inequality of Simpson’s type, Proc. A, R. Soc. Lond., Volume 461 (2005) no. 2059, pp. 2155-2158 | MR | Zbl

[7] A generalization of the convexity, 1993 (Seminar on functional equations, approximation and convexity, Cluj-Napoca)

[8] A generalizations of Simpson’s type inequality for differentiable functions using $\left(\alpha ,m\right)$ -convex functions and applications, J. Inequal. Appl., Volume 2013 (2013), 158, 13 pages | MR | Zbl

[9] On new inequalities of Simpson’s type for convex functions RGMIA Res. (2010) (published in RGMIA Research report collection, https://rgmia.org/papers/v13n1/sso3.pdf) | Zbl

[10] On new inequalities of Simpson’s type for $s$-convex functions,Computers and Mathematics with Applications, Comput. Math. Appl., Volume 60 (2010) no. 8, pp. 2191-2199 | DOI | Zbl

[11] Simpson’s type integral inequalities for convex functions via Riemann–Liouville integrals, Filomat, Volume 31 (2017) no. 14, pp. 4415-4420 | MR

*Cited by Sources: *