Concentration inequalities for s-concave measures of dilations of Borel sets and applications.
Eine Abschätzung der Werte der Kreisteilungsprolynome für reelles Argument.
Extension of Oppenheim's problem to Bessel functions.
Extensions and sharpenings of Jordan's and Kober's inequalities.
Extensions of an elementary geometric inequality.
Generalizations of some remarkable inequalities
Generalized Lazarevic's inequality and its applications. II.
Generalized Newton-like inequalities.
Generalized -Newton inequalities revisited.
Improved bounds for and the factorical polynomial.
Inequalities and identities for ... .
Inequalities for logarithmic and exponential functions.
Inequalities for the polar derivative of a polynomial.
Inequalities for two sine polynomials
We prove: (I) For all integers n ≥ 2 and real numbers x ∈ (0,π) we have , with the best possible constant bounds α = (15-√2073)/10240 √(1998-10√2073) = -0.1171..., β = 1/3. (II) The inequality holds for all even integers n ≥ 2 and x ∈ (0,π), and also for all odd integers n ≥ 3 and x ∈ (0,π - π/n].
Inequalities for Walsh polynomials with semi-monotone and semi-convex coefficients.
Inequalities for Weierstrass products
Inequalities related to rearrangements of powers and symmetric polynomials.
Iterated Laguerre and Turán inequalities.
Jordan-type inequalities for generalized Bessel functions.
Józef Marcinkiewicz (1910-1940) - on the centenary of his birth
Józef Marcinkiewicz’s (1910-1940) name is not known by many people, except maybe a small group of mathematicians, although his influence on the analysis and probability theory of the twentieth century was enormous. This survey of his life and work is in honour of the anniversary of his birth and anniversary of his death. The discussion is divided into two periods of Marcinkiewicz’s life. First, 1910-1933, that is, from his birth to his graduation from the University of Stefan Batory in Vilnius,...