Jensen's inequality for convex-concave antisymmetric functions and applications.

Hussain, S.; Pečarić, J.; Perić, I.

Displaying similar documents to “Jensen's inequality for convex-concave antisymmetric functions and applications.”

Improvement and reversion of Slater's inequality and related results.

Adil Khan, M., Pečarić, J.E. (2010)

Journal of Inequalities and Applications [electronic only]

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On logarithmic convexity for Ky-Fan inequality.

Anwar, Matloob, Pečarić, J. (2008)

Journal of Inequalities and Applications [electronic only]

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Cauchy's means of Levinson type.

Anwar, Matloob, Pecaric, Josip E. (2008)

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A generalization of Ky Fan's inequality.

Gao, Peng (2001)

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Generalizations of the Jensen-Steffensen and related inequalities

Milica Bakula, Marko Matić, Josip Pečarić (2009)

Open Mathematics

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We present a couple of general inequalities related to the Jensen-Steffensen inequality in its discrete and integral form. The Jensen-Steffensen inequality, Slater’s inequality and a generalization of the counterpart to the Jensen-Steffensen inequality are deduced as special cases from these general inequalities.

On coefficient inequalities in the Carathéodory class of functions

Adam Lecko (2000)

Annales Polonici Mathematici

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Some inequalities are proved for coefficients of functions in the class P(α), where α ∈ [0,1), of functions with real part greater than α. In particular, new inequalities for coefficients in the Carathéodory class P(0) are given.