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Divided executives and democratisation [PDF]
This article examines the effect of a divided executive on democratisation in mixed systems where presidents are directly elected and prime ministers are responsible to the legislature.
McMenamin, Iain, Elgie, Robert
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Generalized Iterative Method of Order Four with Divided Differences
Numerous applications from diverse disciplines are formulated as an equation or system of equations in abstract spaces such as Euclidean multidimensional, Hilbert, or Banach, to mention a few.
Samundra Regmi +2 more
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We study an iterative differential-difference method for solving nonlinear least squares problems, which uses, instead of the Jacobian, the sum of derivative of differentiable parts of operator and divided difference of nondifferentiable parts. Moreover,
Ioannis Argyros +2 more
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A divided difference expansion of a divided difference
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Local convergence for composite Chebyshev-type methods
We replace Chebyshev's method for solving equations requiring the second derivative by a Chebyshev-type second derivative free method. The local convergence analysis of the new method is provided using hypotheses only on the first derivative in contrast ...
Santhosh George, İoannis K Argyros
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Starting with a novel definition of divided differences, this essay derives and discusses the basic properties of, and facts about, (univariate) divided differences.
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Improving Convergence Analysis of the Newton–Kurchatov Method under Weak Conditions
The technique of using the restricted convergence region is applied to study a semilocal convergence of the Newton−Kurchatov method. The analysis is provided under weak conditions for the derivatives and the first order divided differences ...
Ioannis K. Argyros +2 more
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The tests of the belonging of functions to the classes Fn(D) and Qn(D)
In the work with the aid of the divided and finite differences are introduced classes Fn(D) and Qn(D) of functions holomorphic in region D. Different properties of functions from these classes are studied, the tests of the belonging of functions to the ...
Jevgenijus Kirjatskis +1 more
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Let \(f\) be \(C^{2n}\) on the positive half line with nonzero \(2n\)th derivative and let \(L_ n\) be the limit of the \((2n- 1)\)st divided difference when \(n\) variables tend to \(a\) and \(n\) to \(b\). This paper examines which mean values of \(a\) and \(b\), substituted into \((1/(2n- 1)!) f^{(2n- 1)}\), give \(L_ n\). In much of the paper \(f(x)
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Further Properties of Quantum Spline Spaces
We construct q-B-splines using a new form of truncated power functions. We give basic properties to show that q-B-splines form a basis for quantum spline spaces.
Gülter Budakçı, Halil Oruç
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