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On Jensen’s inequality and Hölder’s inequality for g-expectation
Archiv der Mathematik, 2010The author proves that, for \(n>1\), the \(n\)-dimensional Jensen's inequality holds for the \(g\)-expectation if and only if the generator \(g \equiv g(\cdot, t, y, z)\) defined on \(\Omega \times [0, T]\times \mathbb{R} \times \mathbb{R}^d\) is independent of \(y\) and linear in \(z\). Applications are made to Minkowski's and Hölder's inequalities.
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Reverses of the Jensen inequality in terms of first derivative and applications
, 2013S. Dragomir
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Jensen‐Grüss inequality and its applications for the Zipf‐Mandelbrot law
Mathematical Methods in the Applied Sciences, 2021Saad Ihsan Butt +2 more
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Jensen inequality approach to stability analysis of discrete-time systems with time-varying delay
American Control Conference, 2008Xun-lin Zhu, Guanghong Yang
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Generalization of the Jensen inequality for pseudo-integral
Information Sciences, 2010Endre Pap, Mirjana Štrboja
exaly
An extension of Jensen’s operator inequality and its application to Young inequality
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2018Shigeru Furuichi +2 more
exaly