Zobrazeno 1 - 10
of 94
pro vyhledávání: '"Constantin P. Niculescu"'
Publikováno v:
Abstract and Applied Analysis, Vol 2011 (2011)
Young's inequality is extended to the context of absolutely continuous measures. Several applications are included.
Externí odkaz:
https://doaj.org/article/0b3bac2653a84a0ea4dbd999d2727691
Autor:
Constantin P. Niculescu, Ionel Rovenţa
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2010 (2010)
We consider a new class of nonlinearities for which a nonlocal parabolic equation with Neumann boundary conditions has finite time blow-up solutions. Our approach is inspired by previous work done by Jazar and Kiwan (2008) and El Soufi et al. (2007).
Externí odkaz:
https://doaj.org/article/1dd55b603b9547d4ad26d7991e3f03eb
Autor:
Ionel Rovenţa, Constantin P. Niculescu
Publikováno v:
Fixed Point Theory and Applications, Vol 2009 (2009)
The Schauder fixed point theorem is extended to the context of metric spaces with global nonpositive curvature. Some applications are included.
Externí odkaz:
https://doaj.org/article/453547604dc54b8ebdfd12dd394a0746
Autor:
Sorin G. Gal, Constantin P. Niculescu
Publikováno v:
Mediterranean Journal of Mathematics. 20
Autor:
Constantin P. Niculescu, Sorin G. Gal
Publikováno v:
Carpathian Journal of Mathematics. 37:185-194
Given a submodular capacity space, we firstly obtain a quantitative estimate for the uniform convergence in the Choquet p-mean, 1\le p
Autor:
Sorin G. Gal, Constantin P. Niculescu
Publikováno v:
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 116
Autor:
Constantin P. Niculescu, Sorin G. Gal
Publikováno v:
Journal of Mathematical Analysis and Applications. 479:903-925
One proves that most results known for the usual convex functions (including Jensen's inequality, Jensen's characterization of convexity, the duality between monotone and convex functions, the existence of affine supports etc.), have analogs for Popo
Autor:
Constantin P. Niculescu, Ionel Rovenţa
Publikováno v:
Positivity. 24:129-139
The aim of this paper is to prove that the cosine Fourier coefficients $$a_{mn}$$ (with $$m,n\ge 1)$$ of a Popoviciu convex function of two variables are nonnegative.
Autor:
Constantin P. Niculescu, Sorin G. Gal
Publikováno v:
Mediterranean Journal of Mathematics. 17
In this paper, we extend the classical Korovkin theorems to the framework of comonotone additive, sublinear, and monotone operators. Based on the theory of Choquet capacities, several concrete examples illustrating our results are also discussed.
Autor:
Constantin P. Niculescu, Sorin G. Gal
In this note the Choquet type operators are introduced, in connection to Choquet's theory of integrability with respect to a not necessarily additive set function. Based on their properties, a quantitative estimate for the nonlinear Korovkin type app
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::285e574dfef13d98892c662d3ff48694
http://arxiv.org/abs/2004.07073
http://arxiv.org/abs/2004.07073