Copy For Citation
Kavurmaci H., Avci M., Ozdemir M. E.
JOURNAL OF INEQUALITIES AND APPLICATIONS, vol.2011, 2011 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
2011
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Publication Date:
2011
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Doi Number:
10.1186/1029-242x-2011-86
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Journal Name:
JOURNAL OF INEQUALITIES AND APPLICATIONS
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Keywords:
Convex function, Hermite-Hadamard inequality, Holder inequality, Power-mean inequality, Special means, Trapezoidal formula, DIFFERENTIABLE MAPPINGS
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Bursa Uludag University Affiliated:
Yes
Abstract
In this paper, some new inequalities of the Hermite-Hadamard type for functions whose modulus of the derivatives are convex and applications for special means are given. Finally, some error estimates for the trapezoidal formula are obtained.