Approximációelméleti kérdések. Klasszikus és súlyozott eset. = Problems in approximation theory. Classical and weighted cases.

Az Erdős Pál és Freud Géza által kezdeményezett súlyozott approximáció vizsgálata véges és végtelen intervallumon. Konvergens eljárások (interpolációs - és Fourier soros ) konstruálása különbözo súlyok esetén, véges és végtelen intervallumon, elsösorban Jacobi -illetve Laguerre típusú súlyok esetén, melyek esetleg belső szingularitással is birnak. Szász -Mirakjan féle operátorok vizsgálata a számegyenesen.Alkalmazások. Bernstein- Jackson tipusú problémák vizsgálata több változós esetben,különféle tartományokon. | The main areas are as follows: Weighted approximation on the real line and on finite interval based on some problems initiated by Pál Erdős and Géza Freud. Construction of convergent processes (interpolatory and Fourier series-type) using different weights,on finite and infinite intervals, based on Jacobi- and Laguerre type weights. We investigated the so called Szász-Mirakjan operators on the real line. We obtained convergence results improving some previously obtained conditions. Some applications were proved,too. We investigated some Bernstein and Jackson type problems for the multidimensional cases on different domains

Magyar Tanítóképző 20 (1905) 05

Magyar Tanítóképző A Tanítóképző-intézeti Tanárok Országos Egyesületének közlönye 20. évfolyam, 05. füzet Budapest, 1905. május h

Measurements of elliptic and triangular flow in high-multiplicity 3He+Au collisions at √sNN=200 GeV

The angular distributions and the differential branching fraction of the decay B0 to K*0(892) mu mu are studied using data corresponding to an integrated luminosity of 20.5 inverse femtobarns collected with the CMS detector at the LHC in pp collisions at sqrt(s) = 8 TeV. From 1430 signal decays, the forward-backward asymmetry of the muons, the K*0(892) longitudinal polarization fraction, and the differential branching fraction are determined as a function of the dimuon invariant mass squared. The measurements are among the most precise to date and are in good agreement with standard model predictions

Heavy-quark production and elliptic flow in Au + Au collisions at √sNN=62.4 GeV

We present measurements of electrons and positrons from the semileptonic decays of heavy- flavor hadrons at midrapidity (|y| < 0.35) in Au+Au collisions at √sN N = 62.4 GeV. The data were collected in 2010 by the PHENIX experiment that included the new hadron-blind detector. The invariant yield of electrons from heavy-flavor decays is measured as a function of transverse momentum in the range 1 < pe T < 5 GeV/c. The invariant yield per binary collision is slightly enhanced above the p+p reference in Au+Au 0%–20%, 20%–40% and 40%–60% centralities at a comparable level. At this low beam energy this may be a result of the interplay between initial-state Cronin effects, final-state flow, and energy loss in medium. The v2 of electrons from heavy-flavor decays is nonzero when averaged between 1.3 < pe T < 2.5 GeV/c for 0%–40% centrality collisions at √sN N = 62.4 GeV. For 20%–40% centrality collisions, the v2 at √sN N = 62.4 GeV is smaller than that for heavy flavor decays at √sN N = 200 GeV. The v2 of the electrons from heavy-flavor decay at the lower beam energy is also smaller than v2 for pions. Both results indicate that the heavy-quarks interact with the medium formed in these collisions, but they may not be at the same level of thermalization with the medium as observed at √sN N = 200 GeV