Some Hermite-Hadamard type inequalities for n-time differentiable "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" -convex functions-Reference-Cited by-同舟云学术

Some Hermite-Hadamard type inequalities for n-time differentiable "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" -convex functions

Published:2012-11-22 Issue:1 Volume:2012 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Bai Shu-Ping,Wang Shu-Hong,Qi Feng

Abstract

Abstract In the paper, the famous Hermite-Hadamard integral inequality for convex functions is generalized to and refined as inequalities for n-time differentiable functions which are ( α , m ) -convex. MSC: 26D15, 26A51, 41A55.

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-2012-267.pdf

Reference18 articles.

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3. Dragomir SS, Agarwal RP: Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula. Appl. Math. Lett. 1998, 11(5):91–95. Available online at http://dx.doi.org/10.1016/S0893–9659(98)00086-X

4. Dragomir SS, Toader G: Some inequalities for m -convex functions. Stud. Univ. Babeş-Bolyai, Math. 1993, 38(1):21–28.

5. Dragomir SS, Pearce CEM RGMIA Monographs. In Selected Topics on Hermite-Hadamard Type Inequalities and Applications. Victoria University, Melbourne; 2000. Available online at http://rgmia.org/monographs/hermite_hadamard.html

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