Zobrazeno 1 - 10
of 25
pro vyhledávání: '"David Benko"'
Publikováno v:
Carpathian Journal of Mathematics. 37:35-43
We present several variations, generalizations and extensions of Cauchy's Convergence Criterion for real sequences, including some unusual 2-dimensional versions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a8a63bb69064772d6689e5b647d794a3
https://doi.org/10.37193/cjm.2021.01.04
https://doi.org/10.37193/cjm.2021.01.04
Publikováno v:
Spectrochimica acta. Part A, Molecular and biomolecular spectroscopy. 281
Using attenuated total reflection (ATR) Fourier transform infrared (FTIR) spectroscopy for direct quantitative analysis is highly desirable for many sample systems due to advantages such as rapid spectra collection and being completely non-destructiv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::998861dd001614623c2d44023c31d8f0
https://pubmed.ncbi.nlm.nih.gov/35850044
https://pubmed.ncbi.nlm.nih.gov/35850044
Autor:
Dan Coroian, David Benko
Publikováno v:
The College Mathematics Journal. 49:195-199
SummaryAround 1640, Torricelli found a geometrical solution to a problem allegedly formulated in the early 1600s by Fermat: Given three points in a plane, find a fourth point such that the sum of its distances to the three given points is as small as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6f51f59220dd138072af1e7d4795d351
https://doi.org/10.1080/07468342.2018.1440865
https://doi.org/10.1080/07468342.2018.1440865
The purpose of this work is twofold. First, we aim to extend for 0 s 1 the results of one of the authors about equilibrium measures in the real axis in external fields created by point-mass charges for the case of logarithmic potentials ( s = 0 ). Ou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::41dc17f3ab180c780640e50e41f86c20
Autor:
David Benko, John Molokach
Publikováno v:
The College Mathematics Journal. 44:171-176
We give an elementary solution to the famous Basel Problem, originally solved by Euler in 1735. We square the well-known series for arctan(1) due to Leibniz, and use a surprising relation among the...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0fc7f2cbcd13033a6c7d713ca4342222
https://doi.org/10.4169/college.math.j.44.3.171
https://doi.org/10.4169/college.math.j.44.3.171
Autor:
David Benko
Publikováno v:
The Mathematical Gazette. 96:226-235
You see a Martian walking on the street. What do you do?(i) seek shelter(ii) take some pictures(iii) introduce yourself and offer him/her/it a ride(iv) go online to buy lots of stocks.In this article we analyse the long term behaviour of stock invest
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::930c6e0b0a1c5fa906fce29012bf28f9
https://doi.org/10.1017/s0025557200004460
https://doi.org/10.1017/s0025557200004460
Autor:
David Benko
Publikováno v:
The College Mathematics Journal. 43:244-250
The celebrated Basel Problem, that of finding the infinite sum 1 + 1/4 + 1/9 + 1/16 + …, was open for 91 years. In 1735 Euler showed that the sum is π2/6. Dozens of other solutions have been found....
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::37cffb447a41a69fa06e575f9a186a5e
https://doi.org/10.4169/college.math.j.43.3.244
https://doi.org/10.4169/college.math.j.43.3.244
Autor:
David Benko
Publikováno v:
Journal of Mathematical Analysis and Applications. 385:447-457
Let w ( x ) ≢ 0 be a non-negative continuous weight function which decays faster than 1 / x near infinity and let q ( x ) = − l o g w ( x ) . Totik proved that if q ( x ) is convex, then a continuous function f ( x ) can be approximated by weight
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2007d92acb0ba1aed44b45473282ebac
https://doi.org/10.1016/j.jmaa.2011.06.060
https://doi.org/10.1016/j.jmaa.2011.06.060
Publikováno v:
Revista Matemática Iberoamericana. 28:947-960
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f241897c6f589908434d4778a832fea
https://doi.org/10.4171/rmi/698
https://doi.org/10.4171/rmi/698
Autor:
Peter D Dragnev, David Benko
Publikováno v:
Constructive Approximation. 36:191-214
In this paper we establish that the density of the equilibrium measure of finitely many intervals for both logarithmic and Riesz potentials is convex. The main tool is a balayage ping-pong technique. A similar result is obtained for finitely many arc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b3637ab1be5dd91b4ec4d10df1bcc79c
https://doi.org/10.1007/s00365-011-9143-x
https://doi.org/10.1007/s00365-011-9143-x