On some constants in approximation by Bernstein operators.

Păltănea, Radu

Displaying similar documents to “On some constants in approximation by Bernstein operators.”

On a class of fourth-order nonlinear difference equations.

Migda, Małgorzata, Musielak, Anna, Schmeidel, Ewa (2004)

Advances in Difference Equations [electronic only]

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Limit theorems for randomly selected adjacent order statistics from a Pareto distribution.

Adler, André (2005)

International Journal of Mathematics and Mathematical Sciences

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On the existence of solutions of some second order nonlinear difference equations

Małgorzata Migda, Ewa Schmeidel, Małgorzata Zbąszyniak (2005)

Archivum Mathematicum

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We consider a second order nonlinear difference equation $Δ^{2} y_{n} = a_{n} y_{n + 1} + f (n, y_{n}, y_{n + 1}), n \in N . (E)$ The necessary conditions under which there exists a solution of equation (E) which can be written in the form $y_{n + 1} = α_{n} u_{n} + β_{n} v_{n}, are given.$ Here $u$ and $v$ are two linearly independent solutions of equation $Δ^{2} y_{n} = a_{n + 1} y_{n + 1}, (lim_{n \to \infty} α_{n} = α < \infty and lim_{n \to \infty} β_{n} = β < \infty) .$ A special case of equation (E) is also considered.

e-isometric approximation problem.

Ma, Yumei (2003)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Oscillatory and asymptotic behaviour of perturbed quasilinear second order difference equations

Ethiraju Thandapani, L. Ramuppillai (1998)

Archivum Mathematicum

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This paper deals with oscillatory and asymptotic behaviour of solutions of second order quasilinear difference equation of the form $Δ (a_{n - 1} | Δ y_{n - 1} |^{α - 1} Δ y_{n - 1}) + F (n, y_{n}) = G (n, y_{n}, Δ y_{n}), n \in N (n_{0}) (E)$ where $α > 0$ . Some sufficient conditions for all solutions of (E) to be oscillatory are obtained. Asymptotic behaviour of nonoscillatory solutions of (E) are also considered.

Representation of solutions of difference equations with continuous time.

Péics, Hajnalka (2000)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Non-oscillation of second order linear self-adjoint nonhomogeneous difference equations

N. Parhi (2011)

Mathematica Bohemica

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In the paper, conditions are obtained, in terms of coefficient functions, which are necessary as well as sufficient for non-oscillation/oscillation of all solutions of self-adjoint linear homogeneous equations of the form $Δ (p_{n - 1} Δ y_{n - 1}) + q y_{n} = 0, n \geq 1,$ where $q$ is a constant. Sufficient conditions, in terms of coefficient functions, are obtained for non-oscillation of all solutions of nonlinear non-homogeneous equations of the type $Δ (p_{n - 1} Δ y_{n - 1}) + q_{n} g (y_{n}) = f_{n - 1}, n \geq 1,$ where, unlike earlier works, $f_{n} \geq 0$ or $\leq 0$ (but $\neg \equiv 0)$ for large $n$ . Further, these results are...