On bounds of the range of ordered variates II.
Paul R. Beesack (1976)
Aequationes mathematicae
Alzer, Horst (1993)
Portugaliae mathematica
Pachpatte, Baburao G. (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Pachpatte, Baburao G. (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Sandor, Jozsef (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Stewart, Seán M. (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Wang, Liangcheng, Luo, Jiagui (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Neuman, Edward, Sándor, József (2003)
International Journal of Mathematics and Mathematical Sciences
Cheung, Wing-Sum, Ma, Qing-Hua (2005)
Journal of Inequalities and Applications [electronic only]
Dragomir, S.S., Kim, Young-Ho (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Gavrea, Ioan (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
T. Zgraja (2005)
Acta Universitatis Carolinae. Mathematica et Physica
Gy. Muszely (1973)
Metrika
Wang, Mingjin, Zhao, Xilai (2009)
Journal of Inequalities and Applications [electronic only]
M. Emin Özdemir, Ahmet Ocak Akdemir, Çetin Yıldız (2012)
Czechoslovak Mathematical Journal
A function , where is an interval, is said to be a convex function on if holds for all and . There are several papers in the literature which discuss properties of convexity and contain integral inequalities. Furthermore, new classes of convex functions have been introduced in order to generalize the results and to obtain new estimations. We define some new classes of convex functions that we name quasi-convex, Jensen-convex, Wright-convex, Jensen-quasi-convex and Wright-quasi-convex functions...
Leindler, Laszlo (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Leindler, Laszlo (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Marco Biroli, Patrick Maheux (2014)
Colloquium Mathematicae
We prove the equivalence of Nash type and super log Sobolev inequalities for Dirichlet forms. We also show that both inequalities are equivalent to Orlicz-Sobolev type inequalities. No ultracontractivity of the semigroup is assumed. It is known that there is no equivalence between super log Sobolev or Nash type inequalities and ultracontractivity. We discuss Davies-Simon's counterexample as the borderline case of this equivalence and related open problems.
Wasowicz, Szymon (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Dobiesław Brydak (1979)