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

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...

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Published inJournal of inequalities and applications Vol. 2013; no. 1; pp. 1 - 13
Main Authors Hwang, Shiow-Ru, Tseng, Kuei-Lin, Hsu, Kai-Chen
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 15.04.2013
Springer Nature B.V
BioMed Central Ltd
Subjects
Analysis
Applications of Mathematics
Chromium molybdenum steels
Drag (hindrance)
High strength steels
Inequalities
Mathematics
Mathematics and Statistics
Proceedings of the International Congress in Honour of Professor Hari M. Srivastava
Hermite-Hadamard inequality
Fejér inequality
convex function
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/1029-242X-2013-170