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

Muhammad Amer Latif; Svere S. Dragomir

Research Article

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

Year 2015, Volume: 44 Issue: 4, 839 - 853, 01.08.2015

Muhammad Amer Latif , Svere S. Dragomir

https://izlik.org/JA66SK64HS

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

Hermite-Hadamard’s inequality , invex set , preinvex function , Hölder’s inequality , s-preinvex function

References

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Year 2015, Volume: 44 Issue: 4, 839 - 853, 01.08.2015

Muhammad Amer Latif , Svere S. Dragomir

https://izlik.org/JA66SK64HS

Abstract

References

.

There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Research Article
Authors	Muhammad Amer Latif Svere S. Dragomir
Publication Date	August 1, 2015
IZ	https://izlik.org/JA66SK64HS
Published in Issue	Year 2015 Volume: 44 Issue: 4

Cite

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