Geodesic
Some inequalities of Hermite-Hadamard type for n--times differentiable ($\rho, m$)--geometrically convex functions
Zafar, Fiza1 ; Kalsoom, Humaira1 ; Hussain, Nawab2
1 Centre for Advanced Studies in Pure and Applied Mathematics (CASPAM), Bahauddin Zakariya University, Multan 60800, Pakistan
2 Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 3, p. 201-217.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, some generalized Hermite-Hadamard type inequalities for n-times differentiable ($\rho, m$)- geometrically convex function are established. The new inequalities recapture and give new estimates of the previous inequalities for first differentiable functions as special cases. The estimates for trapezoid, midpoint, averaged mid-point trapezoid and Simpson's inequalities can also be obtained for higher differentiable generalized geometrically convex functions.
DOI : 10.22436/jnsa.008.03.04
Classification : 26D15, 26A15
Keywords: Hermite-Hadamard inequality, (\(\rho، m\))-geometrically convex functions, n-times differentiable function.

Zafar, Fiza 1 ; Kalsoom, Humaira 1 ; Hussain, Nawab 2

1 Centre for Advanced Studies in Pure and Applied Mathematics (CASPAM), Bahauddin Zakariya University, Multan 60800, Pakistan
2 Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia 
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Zafar, Fiza; Kalsoom, Humaira; Hussain, Nawab. Some inequalities of Hermite-Hadamard type for n--times differentiable (\(\rho, m\))--geometrically convex functions. Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 3, p. 201-217. doi : 10.22436/jnsa.008.03.04. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.008.03.04/

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