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

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

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Mathematics
Authors	Muhammad Amer Latif Svere S. Dragomir
Publication Date	August 1, 2015
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.
AMA	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. August 2015;44(4):839-853.
Chicago	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 44, no. 4 (August 2015): 839-53.
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	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, 2015.
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 2015), 839-853.
JAMA	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, 2015, pp. 839-53.
Vancouver	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):839-53.