AbstractIn this paper we prove three conjectures of Revers on Lagrange interpolation for fλ(t)=|t|λ,λ>0, at equidistant nodes. In particular, we describe the rate of divergence of the Lagrange interpolants LN(fλ,t) for 0<|t|<1, and discuss their convergence at t=0. We also establish an asymptotic relation for max|t|⩽1||t|λ−LN(fλ,t)|. The proofs are based on strong asymptotics for |t|λ−LN(fλ,t),0⩽|t|<1
In this dissertation we investigate Lagrange interpolation. Our first result will deal with a hierar...
In this dissertation we investigate Lagrange interpolation. Our first result will deal with a hierar...
AbstractLagrange interpolation to any continuous function on [-1,1] at the zeros of orthogonal polyn...
This paper is concerned with the optimal rate of divergence of Lagrange interpolation of f(x) = \x\ ...
This paper is concerned with the optimal rate of divergence of Lagrange interpolation of f(x) = \x\ ...
This paper is concerned with the optimal rate of divergence of Lagrange interpolation of f(x) = |x| ...
This paper is concerned with the optimal rate of divergence of Lagrange interpolation of f(x) = |x| ...
AbstractThis paper gives powerful necessary conditions for convergence of Lagrange interpolation on ...
AbstractUnder the assumption that the function ƒ is bounded on [−1, 1] and analytic at x = 0 we prov...
AbstractIt is a classical result of Bernstein that the sequence of Lagrange interpolation polynomial...
AbstractUnder the assumption that the function ƒ is bounded on [−1, 1] and analytic at x = 0 we prov...
Under the assumption that the function f is bounded on [-1, 1] and analytic at x = 0 we prove the lo...
Under the assumption that the function f is bounded on [-1, 1] and analytic at x = 0 we prove the lo...
Under the assumption that the function f is bounded on [- 1, 1] and analytic at x = 0 we prove the l...
AbstractIn 1918 S. N. Bernstein published the surprising result that the sequence of Lagrange interp...
In this dissertation we investigate Lagrange interpolation. Our first result will deal with a hierar...
In this dissertation we investigate Lagrange interpolation. Our first result will deal with a hierar...
AbstractLagrange interpolation to any continuous function on [-1,1] at the zeros of orthogonal polyn...
This paper is concerned with the optimal rate of divergence of Lagrange interpolation of f(x) = \x\ ...
This paper is concerned with the optimal rate of divergence of Lagrange interpolation of f(x) = \x\ ...
This paper is concerned with the optimal rate of divergence of Lagrange interpolation of f(x) = |x| ...
This paper is concerned with the optimal rate of divergence of Lagrange interpolation of f(x) = |x| ...
AbstractThis paper gives powerful necessary conditions for convergence of Lagrange interpolation on ...
AbstractUnder the assumption that the function ƒ is bounded on [−1, 1] and analytic at x = 0 we prov...
AbstractIt is a classical result of Bernstein that the sequence of Lagrange interpolation polynomial...
AbstractUnder the assumption that the function ƒ is bounded on [−1, 1] and analytic at x = 0 we prov...
Under the assumption that the function f is bounded on [-1, 1] and analytic at x = 0 we prove the lo...
Under the assumption that the function f is bounded on [-1, 1] and analytic at x = 0 we prove the lo...
Under the assumption that the function f is bounded on [- 1, 1] and analytic at x = 0 we prove the l...
AbstractIn 1918 S. N. Bernstein published the surprising result that the sequence of Lagrange interp...
In this dissertation we investigate Lagrange interpolation. Our first result will deal with a hierar...
In this dissertation we investigate Lagrange interpolation. Our first result will deal with a hierar...
AbstractLagrange interpolation to any continuous function on [-1,1] at the zeros of orthogonal polyn...
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