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.
On the utility of the Telyakovskiĭ's class .
On the weighted Ostrowski inequality.
On three inequalities similar to Hardy-Hilbert's integral inequality.
On Volterra inequalities and their applications.
On weak type inequalities for rare maximal functions
The properties of rare maximal functions (i.e. Hardy-Littlewood maximal functions associated with sparse families of intervals) are investigated. A simple criterion allows one to decide if a given rare maximal function satisfies a converse weak type inequality. The summability properties of rare maximal functions are also considered.
On weighted dyadic Carleson's inequalities.
On weighted Hardy and Poincaré-type inequalities for differences.