Lower bounds on products of correlation coefficients.
Lupaş-Durrmeyer operators.
Lyapunov inequalities for time scales.
Lyapunov type integral inequalities for certain differential equations.
Łojasiewicz inequalities for sets definable in the structure
We consider some variants of Łojasiewicz inequalities for the class of subsets of Euclidean spaces definable from addition, multiplication and exponentiation : Łojasiewicz-type inequalities, global Łojasiewicz inequalities with or without parameters. The rationality of Łojasiewicz’s exponents for this class is also proved.
Mapping properties of integral averaging operators
Characterizations are obtained for those pairs of weight functions u and v for which the operators with a and b certain non-negative functions are bounded from to , 0 < p,q < ∞, p≥ 1. Sufficient conditions are given for T to be bounded on the cones of monotone functions. The results are applied to give a weighted inequality comparing differences and derivatives as well as a weight characterization for the Steklov operator.
Markoff type inequalities for curved majorants in the weighted L2 norm.
Markov and Bernstein type inequalities for polynomials.
Markov inequalities for polynomials with restricted coefficients.
Markov's Inequality and C Functions on Sets with Polynomial Cusps.
Matchings and the variance of Lipschitz functions
We are interested in the rate function of the moderate deviation principle for the two-sample matching problem. This is related to the determination of 1-Lipschitz functions with maximal variance. We give an exact solution for random variables which have normal law, or are uniformly distributed on the Euclidean ball.
Matrix versions of the Cauchy and Kantorovich inequalities.
Mean value theorem for convex functionals
Mean values of convexly arranged numbers and monotone rearrangements in reverse integral inequalities
We analyse mean values of functions with values in the boundary of a convex two-dimensional set. As an application, reverse integral inequalities imply exactly the same inequalities for the monotone rearrangement. Sharp versions of the classical Gehring lemma, the Gurov-Resetnyak theorem and the Muckenhoupt theorem are obtained.
Measure concentration for compound Poisson distributions.
Mesure de Mahler et calcul de constantes universelles pour les polynomes de N variables.
Minimal rearrangements of Sobolev functions.
Minimal rearrangements of Sobolev functions
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.