On the Kolmogorov-Stein inequality.
On the Limits of Simple Means.
On the maximum modulus of a polynomial and its derivatives.
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 Opial-Olech-Beesack inequalities.
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 precise asymptotics of the constant in Friedrich's inequality for functions vanishing on the part of the boundary with microinhomogeneous structure.
On the proof of Erdős' inequality
Using undergraduate calculus, we give a direct elementary proof of a sharp Markov-type inequality for a constrained polynomial of degree at most , initially claimed by P. Erdős, which is different from the one in the paper of T. Erdélyi (2015). Whereafter, we give the situations on which the equality holds. On the basis of this inequality, we study the monotone polynomial which has only real zeros all but one outside of the interval and establish a new asymptotically sharp inequality.
On the -analogue of gamma functions and related inequalities.
On the refined Heisenberg-Weyl type inequality.
On the Schwab-Borchardt mean.
On the Schwab-Borchardt mean. II.
On the self crossing six sided figure problem.
On the sharpened Heisenberg-Weyl inequality.
On the strengthened Jordan's inequality.
On the structure of Hardy–Sobolev–Maz'ya inequalities
On the trapezoid quadrature formula and applications