Maximums of strong Świątkowski functions
Maxis smoothing operators and some Orlicz classes
Max-min representation of piecewise linear functions.
McShane equi-integrability and Vitali’s convergence theorem
The McShane integral of functions defined on an -dimensional interval is considered in the paper. This integral is known to be equivalent to the Lebesgue integral for which the Vitali convergence theorem holds. For McShane integrable sequences of functions a convergence theorem based on the concept of equi-integrability is proved and it is shown that this theorem is equivalent to the Vitali convergence theorem.
Mean number of real zeros of a random hyperbolic polynomial.
Mean value theorem for convex functionals
Mean value theorems for divided differences and approximate Peano derivatives
Several mean value theorems for higher order divided differences and approximate Peano derivatives are proved.
Mean value theorems for some linear integral operators.
Mean Value Theorems in q-calculus
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.
Means and generalized means.
Mean-value theorem for vector-valued functions
For a differentiable function where is a real interval and , a counterpart of the Lagrange mean-value theorem is presented. Necessary and sufficient conditions for the existence of a mean such that are given. Similar considerations for a theorem accompanying the Lagrange mean-value theorem are presented.
Measurability of multifunctions of two variables [Book]
Measurability of real functions defined on the product of metric spaces
Measure concentration for compound Poisson distributions.
Measure theoretic zero sets in infinite dimensional spaces and differentiability of Lipschitz mappings
Measure-preserving quality within mappings.
In [6], Guy David introduced some methods for finding controlled behavior in Lipschitz mappings with substantial images (in terms of measure). Under suitable conditions, David produces subsets on which the given mapping is bilipschitz, with uniform bounds for the bilipschitz constant and the size of the subset. This has applications for boundedness of singular integral operators and uniform rectifiability of sets, as in [6], [7], [11], [13]. Some special cases of David's results, concerning projections...
Measuring asymptotic convexity
Meda inequality for rearrangements of the convolution on the Heisenberg group and some applications.
Mémoire sur les fonctions discontinues