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Dilworth's Theorem Revisited, an Algorithmic Proof [PDF]
Dilworth's theorem establishes a link between a minimal path cover and a maximal antichain in a digraph.A new proof for Dilworth's theorem is given. Moreover an algorithm to find both the path cover and the antichain, as considered in the theorem, is ...
Potharst, R., Pijls, W.H.L.M.
core
The Surprise Examination Paradox and the Second Incompleteness Theorem [PDF]
We give a new proof for Godel's second incompleteness theorem, based on Kolmogorov complexity, Chaitin's incompleteness theorem, and an argument that resembles the surprise examination paradox.
Raz, Ran, Kritchman, Shira
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Korovkin's theorem for locally compact Abelian groups
In 1953 P.P. Korovkin proved that {1,cos,sin} is a test set for each sequence (Tn) of positive linear operators on the space C of continuous real 2 π-periodic functions, in the sense that lim Tnf = f uniformly for f = 1 , cos and sin implies that lim n->∞
Sussich, Joseph F.
core
Statistical (C; 1) (E; 1) Summability and Korovkin's Theorem
T. Acar, S. A. Mohiuddine
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Degree of convergence in operator versions of nonlinear Korovkin’s theorems [PDF]
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 real ...
Sorin G. Gal, Constantin P. Niculescu
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Approximation by Stancu–Chlodowsky type λ-Bernstein operators
, 2020In this paper, we give some approximation properties by Stancu–Chlodowsky type λ-Bernstein operators in the polynomial weighted space and obtain the convergence properties of these operators by using Korovkin’s theorem.
M. Mursaleen, A. Al-Abied, M. A. Salman
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Applied Mathematics and Computation, 2019
In the present paper, two different modifications are proposed for (p, q)-Szasz-Mirakjan-Kantorovich operators which preserve some test functions. Some approximation results with the help of better-known Korovkin’s theorem and weighted Korovkin’s theorem
M. Mursaleen, A. Naaz, Asif Khan
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In the present paper, two different modifications are proposed for (p, q)-Szasz-Mirakjan-Kantorovich operators which preserve some test functions. Some approximation results with the help of better-known Korovkin’s theorem and weighted Korovkin’s theorem
M. Mursaleen, A. Naaz, Asif Khan
semanticscholar +1 more source
Korovkin’s Theorem for Functionals and Limits for Box Integrals
The American mathematical monthly, 2019We prove a version of Korovkin’s theorem for functionals that is well suited to obtain limits for integrals of mean values and has applications to limits of certain box integrals.
G. Herzog, P. Kunstmann
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