AbstractThe well-known fact that limsup (liminf) of the sequence of Bernstein polynomials of a bounded function is bounded above (below) by the average value of the two upper (lower) limits of the function is supplemented with the following derived version: limsup (liminf) of the sequence of derived Bernstein polynomials is bounded above (below) by the average value of the two upper (lower) Dini derivatives
Let D be the unit disc in the complex plane C and ‖ p ‖: = max z∈∂D | p(z) |, where p(z):= ∑n k=0 a...
summary:Let ${\mathbb T}_n$ be the space of all trigonometric polynomials of degree not greater than...
AbstractBernstein's classical theorem states that for a polynomialPof degree at mostn, max|z|=1|P′(z...
Chlodovsky showed that if x0 is a point of discontinuity of the first kind of the function f, then t...
International audienceBernstein's classical inequality asserts that given a trigonometric polynomial...
Abstract. In the present note we give a full quantitative version of a theorem of Floater dealing wi...
AbstractIn this note we improve two results on derivatives of Bernstein polynomials and smoothness o...
AbstractIt is known that the Bernstein polynomials of a function f defined on [0, 1 ] preserve its c...
The classical Bernstein inequality estimates the derivative of a polynomial at a fixed point with th...
Abstract. Bernstein’s inequality for Jacobi polynomials P (α,β)n, established in 1987 by P. Baratell...
Abstract. Bernstein polynomials on a simplex V are considered. The expan-sion of a given polynomial ...
Let f: [0, 1]p → Rq be a bounded function. In this paper, we used technique from [11] to give a boun...
AbstractWe give an interesting generalization of the Bernstein polynomials. We find sufficient and n...
AbstractWassily Hoeffding (J. Approximation Theory 4 (1971), 347–356) obtained a convergence rate fo...
AbstractThe well-known fact that limsup (liminf) of the sequence of Bernstein polynomials of a bound...
Let D be the unit disc in the complex plane C and ‖ p ‖: = max z∈∂D | p(z) |, where p(z):= ∑n k=0 a...
summary:Let ${\mathbb T}_n$ be the space of all trigonometric polynomials of degree not greater than...
AbstractBernstein's classical theorem states that for a polynomialPof degree at mostn, max|z|=1|P′(z...
Chlodovsky showed that if x0 is a point of discontinuity of the first kind of the function f, then t...
International audienceBernstein's classical inequality asserts that given a trigonometric polynomial...
Abstract. In the present note we give a full quantitative version of a theorem of Floater dealing wi...
AbstractIn this note we improve two results on derivatives of Bernstein polynomials and smoothness o...
AbstractIt is known that the Bernstein polynomials of a function f defined on [0, 1 ] preserve its c...
The classical Bernstein inequality estimates the derivative of a polynomial at a fixed point with th...
Abstract. Bernstein’s inequality for Jacobi polynomials P (α,β)n, established in 1987 by P. Baratell...
Abstract. Bernstein polynomials on a simplex V are considered. The expan-sion of a given polynomial ...
Let f: [0, 1]p → Rq be a bounded function. In this paper, we used technique from [11] to give a boun...
AbstractWe give an interesting generalization of the Bernstein polynomials. We find sufficient and n...
AbstractWassily Hoeffding (J. Approximation Theory 4 (1971), 347–356) obtained a convergence rate fo...
AbstractThe well-known fact that limsup (liminf) of the sequence of Bernstein polynomials of a bound...
Let D be the unit disc in the complex plane C and ‖ p ‖: = max z∈∂D | p(z) |, where p(z):= ∑n k=0 a...
summary:Let ${\mathbb T}_n$ be the space of all trigonometric polynomials of degree not greater than...
AbstractBernstein's classical theorem states that for a polynomialPof degree at mostn, max|z|=1|P′(z...
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