On the homogeneous functions with two parameters and its monotonicity.
On the identric and logarithmic means.
On the inequality of Mathieu.
On the inequality of Mathieu.
On the inequality of the difference of two integral means and applications for pdfs.
On the Inequality ...pi f(pi) > piif(qi).
On the infimum convolution inequality
We study the infimum convolution inequalities. Such an inequality was first introduced by B. Maurey to give the optimal concentration of measure behaviour for the product exponential measure. We show how IC inequalities are tied to concentration and study the optimal cost functions for an arbitrary probability measure μ. In particular, we prove an optimal IC inequality for product log-concave measures and for uniform measures on the balls. Such an optimal inequality implies, for a given measure,...
On the Limits of Simple Means.
On the midpoint quadrature formula for lipschitzian mappings and applications
On the midpoint quadrature formula for mappings with bounded variations and applications
On the monotonicity and log-convexity of a four-parameter homogeneous mean.
On the order of magnitude of Walsh-Fourier transform
For a Lebesgue integrable complex-valued function defined on let be its Walsh-Fourier transform. The Riemann-Lebesgue lemma says that as . But in general, there is no definite rate at which the Walsh-Fourier transform tends to zero. In fact, the Walsh-Fourier transform of an integrable function can tend to zero as slowly as we wish. Therefore, it is interesting to know for functions of which subclasses of there is a definite rate at which the Walsh-Fourier transform tends to zero. We...
On the Ostrowski type integral inequality.
On the refined Heisenberg-Weyl type inequality.
On the Schwab-Borchardt mean.
On the Schwab-Borchardt mean. II.
On the sharpened Heisenberg-Weyl inequality.
On the structure of Hardy–Sobolev–Maz'ya inequalities
On the trapezoid quadrature formula and applications
On the triangle inequality in quasi-Banach spaces.