On Shafer and Carlson inequalities.
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Chen, Chao-Ping, Cheung, Wing-Sum, Wang, Wusheng (2011)
Journal of Inequalities and Applications [electronic only]
Zhu, Ling (2007)
Journal of Inequalities and Applications [electronic only]
Pearce, C.E.M., Pečarić, J. (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Cirtoaje, Vasile (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Mascioni, Vania (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Constantinescu, Eugen (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Dewan, K.K., Mir, Abdullah (2005)
International Journal of Mathematics and Mathematical Sciences
Lai-Yi Zhu, Da-Peng Zhou (2017)
Czechoslovak Mathematical Journal
Using undergraduate calculus, we give a direct elementary proof of a sharp Markov-type inequality for a constrained polynomial of degree at most , initially claimed by P. Erdős, which is different from the one in the paper of T. Erdélyi (2015). Whereafter, we give the situations on which the equality holds. On the basis of this inequality, we study the monotone polynomial which has only real zeros all but one outside of the interval and establish a new asymptotically sharp inequality.
Li, Jian-Lin, Li, Yan-Ling (2007)
Journal of Inequalities and Applications [electronic only]
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