Research Article

Generalization of Hermite-Hadamard type inequalities for n-times differentiable functions which are s-preinvex in the second sense with applications

Volume: 44 Number: 4 August 1, 2015
EN

Generalization of Hermite-Hadamard type inequalities for n-times differentiable functions which are s-preinvex in the second sense with applications

Abstract

In this paper, Hermite-Hadamard inequality for differentiable preinvex functions is generalized and refined for n-times differentiable functions which are s-preinvex in the second sense. Some recent results are also improved and applications to special means of positive numbers are given. 

Keywords

References

  1. .

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

August 1, 2015

Submission Date

April 16, 2013

Acceptance Date

April 18, 2014

Published in Issue

Year 2015 Volume: 44 Number: 4

APA
Latif, M. A., & Dragomir, S. S. (2015). Generalization of Hermite-Hadamard type inequalities for n-times differentiable functions which are s-preinvex in the second sense with applications. Hacettepe Journal of Mathematics and Statistics, 44(4), 839-853. https://izlik.org/JA66SK64HS
AMA
1.Latif MA, Dragomir SS. Generalization of Hermite-Hadamard type inequalities for n-times differentiable functions which are s-preinvex in the second sense with applications. Hacettepe Journal of Mathematics and Statistics. 2015;44(4):839-853. https://izlik.org/JA66SK64HS
Chicago
Latif, Muhammad Amer, and Svere S. Dragomir. 2015. “Generalization of Hermite-Hadamard Type Inequalities for N-Times Differentiable Functions Which Are S-Preinvex in the Second Sense With Applications”. Hacettepe Journal of Mathematics and Statistics 44 (4): 839-53. https://izlik.org/JA66SK64HS.
EndNote
Latif MA, Dragomir SS (August 1, 2015) Generalization of Hermite-Hadamard type inequalities for n-times differentiable functions which are s-preinvex in the second sense with applications. Hacettepe Journal of Mathematics and Statistics 44 4 839–853.
IEEE
[1]M. A. Latif and S. S. Dragomir, “Generalization of Hermite-Hadamard type inequalities for n-times differentiable functions which are s-preinvex in the second sense with applications”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 4, pp. 839–853, Aug. 2015, [Online]. Available: https://izlik.org/JA66SK64HS
ISNAD
Latif, Muhammad Amer - Dragomir, Svere S. “Generalization of Hermite-Hadamard Type Inequalities for N-Times Differentiable Functions Which Are S-Preinvex in the Second Sense With Applications”. Hacettepe Journal of Mathematics and Statistics 44/4 (August 1, 2015): 839-853. https://izlik.org/JA66SK64HS.
JAMA
1.Latif MA, Dragomir SS. Generalization of Hermite-Hadamard type inequalities for n-times differentiable functions which are s-preinvex in the second sense with applications. Hacettepe Journal of Mathematics and Statistics. 2015;44:839–853.
MLA
Latif, Muhammad Amer, and Svere S. Dragomir. “Generalization of Hermite-Hadamard Type Inequalities for N-Times Differentiable Functions Which Are S-Preinvex in the Second Sense With Applications”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 4, Aug. 2015, pp. 839-53, https://izlik.org/JA66SK64HS.
Vancouver
1.Muhammad Amer Latif, Svere S. Dragomir. Generalization of Hermite-Hadamard type inequalities for n-times differentiable functions which are s-preinvex in the second sense with applications. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Aug. 1;44(4):839-53. Available from: https://izlik.org/JA66SK64HS