Moment preserving spline approximation finite intervals and Chakalov-Popoviciu quadratures.
Moments inequalities of a random variable defined over a finite interval.
Monosplines and inequalities for the remainder term of quadrature formulas.
Monotonic refinements of a Ky Fan inequality.
Monotonicity and convexity of four sequences originating from Nanson's inequality.
Monotonicity in Banach function spaces
This paper is an informal presentation of material from [28]–[34]. The monotone envelopes of a function, including the level function, are introduced and their properties are studied. Applications to norm inequalities are given. The down space of a Banach function space is defined and connections are made between monotone envelopes and the norms of the down space and its dual. The connection is shown to be particularly close in the case of universally rearrangement invariant spaces. Next, two equivalent...
Monotonicity of certain functionals under rearrangement
We show here that a wide class of integral inequalities concerning functions on can be obtained by purely combinatorial methods. More precisely, we obtain modulus of continuity or other high order norm estimates for functions satisfying conditions of the type where and are monotone increasing functions of .Several applications are also derived. In particular these methods are shown to yield a new condition for path continuity of general stochastic processes
Monotonicity of generalized weighted mean values
The author gives a new simple proof of monotonicity of the generalized extended mean values introduced by F. Qi.
Monotonicity properties of the relative error of a Padé approximation for Mills' ratio.
More about Hermite-Hadamard inequalities, Cauchy's means, and superquadracity.
More on inequalities of Simpson type.
Moser-Trudinger and logarithmic HLS inequalities for systems
We prove several optimal Moser–Trudinger and logarithmic Hardy–Littlewood–Sobolev inequalities for systems in two dimensions. These include inequalities on the sphere , on a bounded domain and on all of . In some cases we also address the question of existence of minimizers.
Multidimensional Hilbert-type inequalities with a homogeneous kernel.
Multidimensional integral inequalities with homogeneous weights.
Multiplication of subharmonic functions.
Multiplicative concavity of the integral of multiplicatively concave functions.
Multipliers of the Fourier-Haar series.
Multivariate version of a Jensen-type inequality.
Necessary and sufficient conditions for joint lower and upper estimates.
Necessary and sufficient conditions for weighted Orlicz class inequalities for maximal functions and singular integrals. I.