A NOTE ON INTEGRAL INEQUALITIES OF HADAMARD TYPE FOR LOG-CONVEX AND LOG-CONCAVE FUNCTIONS

Gou-Sheng Yang; Kuei-Lin Tseng; Hung-Ta Wang

doi:10.11650/twjm/1500406596

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Home > Journals > Taiwanese J. Math. > Volume 16 > Issue 2 > Article

2012 A NOTE ON INTEGRAL INEQUALITIES OF HADAMARD TYPE FOR LOG-CONVEX AND LOG-CONCAVE FUNCTIONS

Gou-Sheng Yang, Kuei-Lin Tseng, Hung-Ta Wang

Taiwanese J. Math. 16(2): 479-496 (2012). DOI: 10.11650/twjm/1500406596

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Abstract

In this note, we establish new inequalities of Hadamard type involving several log-convex functions and log-concave functions.

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Gou-Sheng Yang. Kuei-Lin Tseng. Hung-Ta Wang. "A NOTE ON INTEGRAL INEQUALITIES OF HADAMARD TYPE FOR LOG-CONVEX AND LOG-CONCAVE FUNCTIONS." Taiwanese J. Math. 16 (2) 479 - 496, 2012. https://doi.org/10.11650/twjm/1500406596

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Published: 2012

First available in Project Euclid: 18 July 2017

zbMATH: 1242.26038

MathSciNet: MR2892893

Digital Object Identifier: 10.11650/twjm/1500406596

Subjects:

Primary: 26D15 , 26D99

Keywords: extended logarithmic mean , geometric mean , Hadamard type inequalities , log-concave functions , log-convex functions

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Taiwanese J. Math.

Vol.16 • No. 2 • 2012

Mathematical Society of the Republic of China

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Gou-Sheng Yang, Kuei-Lin Tseng, Hung-Ta Wang "A NOTE ON INTEGRAL INEQUALITIES OF HADAMARD TYPE FOR LOG-CONVEX AND LOG-CONCAVE FUNCTIONS," Taiwanese Journal of Mathematics, Taiwanese J. Math. 16(2), 479-496, (2012)

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