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A New Characterization of Weighted Peetre K-Functionals

Constructive Approximation, 2004
B. R. Draganov and K. G. Ivanov present several results related with the problem of finding moduli of smoothness equivalent to certain weighted Peetre K-functionals for functions of a real variable. The main idea is to characterize the original K-functional by another one obtained with the help of an appropriated operator.
Draganov, Borislav R., Ivanov, Kamen G.
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Directional K- Functionals Claudia Cottin

Results in Mathematics, 1993
When considering approximation of continuous periodic functions f: Rd → R by blending-type approximants which depend on directions ξ1,…,ξν ∈ Rd directional moduli of smoothness (1) are appropriate measures of smoothness of /. In this paper, we introduce equivalent directional K- functionals.
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ω-Connected Continua and Jones' K Function

Proceedings of the American Mathematical Society, 1984
A continuum X is \(\omega\)-connected if for every pair of points x, y of X, there exists an irreducible subcontinuum of X from x to y that is decomposable. If \(A\subset X\) then K(A) is the intersection of all subcontinua of X that contain A in their interiors. The main theorem shows that if X is an \(\omega\)-connected continuum and H is a connected
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Certain fractional kinetic equations involving generalized K-functions

Analysis, 2019
Abstract The main aim of this paper is to investigate the solution of generalized fractional kinetic equations involving the {{}_{m}{R}_{n}} function by using the Laplace transform.
Garima Agarwal, Kottakkaran Sooppy Nisar
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Estimation of a K-Functional of Higher Order in Terms of a K-Functional of Lower Order

Ukrainian Mathematical Journal, 2003
Let Uj be a finite system of functionals of the form \(U_j (g):= \int _0^1 g^(k_j) ( \tau ) d \sigma _j ( \tau )+ \sum_{l < k_j} c_{j,l} g^(l) (0)\), and let \(W_{p,U}^r\) be the subspace of the Sobolev space \(W_p^r [0;1]\), 1 ≤ p ≤ +∞, that consists only of functions g such that Uj(g) = 0 for kj < r.
E. I. Radzievskaya, G. V. Radzievskii
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The network K‐function in context: examining the effects of network structure on the network K‐function

Transactions in GIS, 2015
AbstractThe flaws of using traditional planar point‐pattern analysis techniques with network constrained points have been thoroughly explored in the literature. Because of this, new network‐based measures have been introduced for their planar analogues, including the network based K‐function.
Lamb, David   +2 more
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The K-Functional for H 1 and BMO

Proceedings of the American Mathematical Society, 1984
The author characterizes explicitly Peetre's K-functional for the pair \(H^ 1\), BMO. This functional is used to obtain the intermediate spaces between \(H^ 1\) and BMO by real interpolation methods.
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Learning r-of-k Functions by Boosting

2004
We investigate further improvement of boosting in the case that the target concept belongs to the class of r-of-k threshold Boolean functions, which answer “+1” if at least r of k relevant variables are positive, and answer “–1” otherwise. Given m examples of a r-of-k function and literals as base hypotheses, popular boosting algorithms (e.g., AdaBoost)
Kohei Hatano, Osamu Watanabe
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Realizations of Mixed Generalized K-Functionals

Mathematical Notes, 2020
Omel'chenko, N. V., Runovskii, K. V.
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