R. Szwarc

most citedBounds on Tur{á}n determinants

1 citations · 1 across the 7 of their papers we have counts for

collaborators

7 papers

math.CA2007★ 1 cited

Bounds on Tur{á}n determinants

Christian Berg, Ryszard Szwarc

Let μdenote a symmetric probability measure on [-1,1] and let (p_n) be the corresponding orthogonal polynomials normalized such that p_n(1)=1. We prove that the normalized Tur{á}n…

math.FA2007

The ratio and generating function of cogrowth coefficients of finitely generated groups

Ryszard Szwarc

Let G be a group generated by $r$ elements $g_{1}, g_{2}, ..., g_{r} .$ Among the reduced words in $g_{1}, g_{2}, ..., g_{r}$ of length $n$ some, say $γ_{n},$ represent the identity element of the gr…

math.CA2007

Positivity of Turán determinants for orthogonal polynomials

Ryszard Szwarc

The orthogonal polynomials $p_{n}$ satisfy Turán's inequality if $p_{n}^{2} (x) - p_{n - 1} (x) p_{n + 1} (x) \geq 0$ for $n \geq 1$ and for all $x$ in the interval of orthogonality. We give general c…

math.MG2007

Convergence of weighted averages of relaxed projections

Ryszard Szwarc

The convergence of the algorithm for solving convex feasibility problem is studied by the method of sequential averaged and relaxed projections. Some results of H. H. Bauschke and…

math.FA2007

Weak type radial convolution operators on free group

T. Pytlik, R. Szwarc

Radial convolution operators on free groups with nonnegative kernel of weak type $(2, 2)$ and of restricted weak type $(2, 2)$ are characterized. Estimates of weak type $(p, p)$ are o…

math.FA2005

Orthogonal polynomials of discrete variable and boundedness of Dirichlet kernel

Josef Obermaier, Ryszard Szwarc

For orthogonal polynomials defined by compact Jacobi matrix with exponential decay of the coefficients, precise properties of orthogonality measure is determined. This allows showi…