Note on Aczel-type inequality and Bellman-type inequality

Volume 9, Issue 3, pp 1316--1322 http://dx.doi.org/10.22436/jnsa.009.03.54

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Authors

Jing-Feng Tian - College of Science and Technology, North China Electric Power University, Baoding, Hebei Province, 071051, P. R. China. Yi-Jun Zhou - No.1 High School of Baoding, Hebei Province, 071000, P. R. China.

Abstract

In this short note, by using the method of Vasić and Pečarić [P. M. Vasić, J. E. Pečarić, Mathematica Rev. D'Anal. Num. Th. L'Approx., 25 (1982), 95-103], we obtain some properties of Aczél-type inequality and Bellman-type inequality, and then we obtain some new refinements of Aczél-type inequality and Bellmantype inequality.

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Keywords

• Aczél-type inequality
• Bellman-type inequality
• refinement
• property.

MSC

•  26D15
•  26D10

References

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