Zobrazeno 1 - 10
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pro vyhledávání: '"GAL, Sorin"'
Autor:
Gal, Sorin G.
In this paper we obtain several extension properties for monotone and sublinear operators. The results obtained generalize those known for positive and linear operators.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/2305.03121
In this paper we extend Korovkin's theorem to the context of sequences of weakly nonlinear and monotone operators defined on certain Banach function spaces. Several examples illustrating the theory are included.
Comment: 17 pages
Comment: 17 pages
Externí odkaz:
http://arxiv.org/abs/2302.04786
Publikováno v:
Boll. delle Unione Mat. Ital., 2023
This paper is aimed to prove a quantitative estimate (in terms of the modulus of continuity) for the convergence in the nonlinear version of Korovkin's theorem for sequences of weakly nonlinear and monotone operators defined on spaces of continuous r
Externí odkaz:
http://arxiv.org/abs/2302.04779
By extending the classical quantitative approximation results for positive and linear operators in $L^{p}([0, 1]), 1\le p \le +\infty$ of Berens and DeVore in 1978 and of Swetits and Wood in 1983 to the more general case of sublinear, monotone and st
Externí odkaz:
http://arxiv.org/abs/2212.01262
In this paper we prove analogues of Korovkin's theorem in the context of weakly nonlinear and monotone operators acting on Banach lattices of functions of several variables. Our results concern the convergence almost everywhere, the convergence in me
Externí odkaz:
http://arxiv.org/abs/2206.14102