Markoff type inequalities for curved majorants in the weighted L2 norm.
Markov and Bernstein type inequalities for polynomials.
Markov's Inequality and C Functions on Sets with Polynomial Cusps.
Mesure de Mahler et calcul de constantes universelles pour les polynomes de N variables.
Minkowski’s inequality and sums of squares
Positive polynomials arising from Muirhead’s inequality, from classical power mean and elementary symmetric mean inequalities and from Minkowski’s inequality can be rewritten as sums of squares.
Minorations pour les mesures de Mahler de certains polynômes particuliers
Dans cet article nous donnons des minorations de la mesure de Mahler des polynômes totalement positifs et totalement réels. Ces résultats sont supérieurs à ceux obtenus par A. Schinzel, M. J. Bertin et V. Flammang.
Modular inequalities for the Hardy averaging operator
If is the Hardy averaging operator - or some of its generalizations, then weighted modular inequalities of the form u (Pf) Cv (f) are established for a general class of functions . Modular inequalities for the two- and higher dimensional Hardy averaging operator are also given.
New inequalities between elementary symmetric polynomials.
New inequalities of Shafer-Fink type for arc hyperbolic sine.
Newton's inequalities for families of complex numbers.
Note on Bernstein's inequality for the third derivative of a polynomial.
On Shafer and Carlson inequalities.
On Shafer-Fink-type inequality.
On some polynomial-like inequalities of Brenner and Alzer.
On the cyclic homogeneous polynomial inequalities of degree four.
On the Erdös-Debrunner inequality.
On the inequality of P. Turán for Legendre polynomials.
On the maximum modulus of a polynomial and its derivatives.
On the proof of Erdős' inequality
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.