Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means

By Bo-Yan Xi, Feng Qi (祁锋). 2012

159 citations recorded by the source corpus.

The authors establish some new inequalities for differentiable convex functions, which are similar to the celebrated Hermite-Hadamard's integral inequality for convex functions, and apply these inequalities to construct inequalities for special means of two positive numbers.

Subfields: Applied Mathematics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/e12a6e43287731d2748fd41ddadd643703e7fb5e

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In Applied Mathematics

1. Bo-Yan Xi
2. Feng Qi (祁锋)
3. Bai-Ni Guo (郭白妮)
4. Chao Chen
5. Y. Chu
6. Hari M. Srivastava
7. Dongkyu Lim
8. Christoph Studer

In Statistics and Probability

1. Feng Qi (祁锋)
2. Bo-Yan Xi

Citations in the corpus

• Inequalities of Hermite-Hadamard type for extended $s$-convex functions and applications to means (2014, background): “Some inequalities of Hermite-Hadamard type were also obtained in [1, 2, 3, 10, 11, 13, 14, 15, 16, 17, 18] and related references therein.”
• ON tgs-CONVEX FUNCTION AND THEIR INEQUALITIES (2015, unknown): “For more details see [7]-[10], [14]-[20], [24]-[26].”
• Some Hermite-Hadamard Type Inequalities for DifferentiableConvex Functions and Applications (2013, background): “For more information on this topic, please refer to [1, 8, 9, 10, 11, 12] and plenty of references cited therein.”