Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Pelegrí Viader"'
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 30, Iss 9, Pp 559-567 (2002)
The approximants to regular continued fractions constitute best approximations to the numbers they converge to in two ways known as the first and the second kind. This property of continued fractions provides a solution to Gosper's problem of the bat
Externí odkaz:
https://doaj.org/article/25eeaabba39d46b5accb9174dbcf6cbf
Publikováno v:
Journal of Mathematical Analysis and Applications. 434:713-728
This article closes a trilogy on the existence of singular functions with non-zero finite derivatives. In two previous papers, the authors had exhibited a continuous strictly increasing singular function from [ 0 , 1 ] into [ 0 , 1 ] with a derivativ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c3557bdd867fb673e90d1dc15f6f94d5
https://doi.org/10.1016/j.jmaa.2015.09.036
https://doi.org/10.1016/j.jmaa.2015.09.036
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 95:703-713
The authors had exhibited in a previous paper a continuous strictly increasing singular function from [ 0 , 1 ] into [ 0 , 1 ] with a derivative that takes non-zero finite values at the points of an uncountable set. In this article, the construction
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::318cd0cf134cd6c8ec9b057b26a06843
https://doi.org/10.1016/j.na.2013.10.001
https://doi.org/10.1016/j.na.2013.10.001
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 75:5010-5014
This paper exhibits, for the first time in the literature, a continuous strictly increasing singular function with a derivative that takes non-zero finite values at some points. For all the known “classic” singular functions—Cantor’s, Helling
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e2563377ac3f8af2b9b13acb98179745
https://doi.org/10.1016/j.na.2012.04.015
https://doi.org/10.1016/j.na.2012.04.015
Publikováno v:
Keio economic studies. 48:69-96
It is widely accepted in the literature about the classical Cournot oligopoly model that the loss of quasi-competitiveness islinked, in the long run as new firms enter the market, to instability of the equilibrium. In this paper, though, we present a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::0a38b16a3f304e27df6741305bdf9709
https://koara.lib.keio.ac.jp/xoonips/modules/xoonips/detail.php?koara_id=AA00260492-20120000-0069
https://koara.lib.keio.ac.jp/xoonips/modules/xoonips/detail.php?koara_id=AA00260492-20120000-0069
Publikováno v:
Journal of Mathematical Analysis and Applications. 362:401-414
What do the three names in the title have in common? The purpose of this paper is to relate them in a new and, hopefully, interesting way. Starting with the Fibonacci numeration system — also known as Zeckendorff's system — we will pose ourselves
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff079370f7a8f520c1ed4e91a3b85b2a
https://doi.org/10.1016/j.jmaa.2009.08.004
https://doi.org/10.1016/j.jmaa.2009.08.004
Publikováno v:
Journal of Mathematical Analysis and Applications. 329(1):592-602
In 1952 F. Riesz and Sz.-Nagy published an example of a monotonic continuous function whose derivative is zero almost everywhere, that is to say, a singular function. Besides, the function was strictly increasing. Their example was built as the limit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eee3a57214e8868ff39d42cf8ae302f8
Publikováno v:
Scopus-Elsevier
Theorem 1 of Euler's paper of 1737 'Variae Observationes Circa Series Infinitas', states the astonishing result that the series of all unit fractions whose denominators are perfect powers of integers minus unity has sum one. Euler attributes the Theo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d7858ee804b748a416c58221ab8904e
https://doi.org/10.1080/00029890.2006.11920299
https://doi.org/10.1080/00029890.2006.11920299
Publikováno v:
Journal of Mathematical Analysis and Applications. 253:107-125
Minkowski's ?( x ) function can be seen as the confrontation of two number systems: regular continued fractions and the alternated dyadic system. This way of looking at it enables us to prove that its derivative, when it exists in a wide sense, can o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::43d3ee1be592abdb7205cdd1f20f5448
https://doi.org/10.1006/jmaa.2000.7064
https://doi.org/10.1006/jmaa.2000.7064
Publikováno v:
The American Mathematical Monthly. 106:241-251
2. STARTING POINT: THE THREE-DOOR PROBLEM. Mathematics has always been enriched by a- diversity of games and intellectual curiosities. These have provided an endless supply of problems that have acquired a life of their own, far removed from the recr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::88ec7a301e943e40dd1f1281edc56a9f
https://doi.org/10.1080/00029890.1999.12005034
https://doi.org/10.1080/00029890.1999.12005034