inequalities for the polar derivative of a polynomial.
Landau-type inequalities and -bounded solutions of neutral delay systems.
L'Hospital type results for monotonicity, with applications.
L'Hospital type rules for oscillation, with applications.
Liapunov-type integral inequalities for certain higher-order differential equations.
Limiting Sobolev inequalities for vector fields and canceling linear differential operators
The estimate is shown to hold if and only if is elliptic and canceling. Here is a homogeneous linear differential operator of order on from a vector space to a vector space . The operator is defined to be canceling if . This result implies in particular the classical Gagliardo–Nirenberg–Sobolev inequality, the Korn–Sobolev inequality and Hodge–Sobolev estimates for differential forms due to J. Bourgain and H. Brezis. In the proof, the class of cocanceling homogeneous linear differential...
Linear integral inequalities
Lorentz-Karamata spaces, Bessel and Riesz potentials and embeddings [Book]
Lower bounds for the infimum of the spectrum of the Schrödinger operator in and the Sobolev inequalities.
Lyapunov type integral inequalities for certain differential equations.
Markoff type inequalities for curved majorants in the weighted L2 norm.
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.
Mean value theorem for convex functionals
Minimal rearrangements of Sobolev functions.
Mixed means for centered and uncentered averaging operators over spheres and related results.
Modified log-Sobolev inequalities for convex functions on the real line. Sufficient conditions
We provide a mild sufficient condition for a probability measure on the real line to satisfy a modified log-Sobolev inequality for convex functions, interpolating between the classical log-Sobolev inequality and a Bobkov-Ledoux type inequality. As a consequence we obtain dimension-free two-level concentration results for convex functions of independent random variables with sufficiently regular tail decay. We also provide a link between modified log-Sobolev inequalities...
Moduli of smoothness of functions and their derivatives
Relations between moduli of smoothness of the derivatives of a function and those of the function itself are investigated. The results are for and for 0 < p < ∞ using the moduli of smoothness and respectively.
Monotone trajectories of dynamical systems and Clarke's generalized Jacobian.
Monotonicity of ratios involving incomplete gamma functions with actuarial applications.