Hermite-Hadamard type and Fejér type inequalities for general weights (I)-Reference-Cited by-同舟云学术

Hermite-Hadamard type and Fejér type inequalities for general weights (I)

Published:2013-04-15 Issue:1 Volume:2013 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Hwang Shiow-Ru,Tseng Kuei-Lin,Hsu Kai-Chen

Abstract

Abstract In this paper, we establish some weighted versions of the Hermite-Hadamard type and Fejér type inequalities and from which generalize Hermite-Hadamard inequality, Fejér inequality and several results in (Dragomir in J. Math. Anal. Appl. 167:49-56, 1992; Yang and Hong in Tamkang. J. Math. 28(1):33-37, 1997; Yang and Tseng in J. Math. Anal. Appl. 239:180-187, 1999; Yang and Tseng in Taiwan. J. Math. 7(3):433-440, 2003). MSC:26D15, 26A51.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/1029-242X-2013-170.pdf

Reference16 articles.

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3. Dragomir SS: A refinement of Hadamard’s inequality for isotonic linear functionals. Tamkang. J. Math. 1993, 24: 101–106.

4. Dragomir SS: On the Hadamard’s inequality for convex on the co-ordinates in a rectangle from the plane. Taiwan. J. Math. 2001, 5(4):775–788.

5. Dragomir SS: Further properties of some mapping associated with Hermite-Hadamard inequalities. Tamkang. J. Math. 2003, 34(1):45–57.

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