In this paper, we study the estimation for algebraic polynomials in the bounded and unbounded regions with piecewise smooth boundary having exterior zero angles at the boundary.

We find necessary and sufficient conditions for an arbitrary metric space X to have a unique pretangent space at a marked point a âˆˆ X. Applying this general result we show that each logarithmicâ€¦ (More)

The effective yield set of ionic polycrystals is characterized by means of variational principles in Lâˆž associated to supremal functionals acting on matrixvalued divergence-free fields.

Eigenvalue problems Luxemburg norm p(x)-Laplacian Variable exponent Lebesgue and Sobolev spaces Viscosity solutions a b s t r a c t We study the asymptotic behavior, as p â†’ âˆž, of the firstâ€¦ (More)

We compare the best approximations of holomorphic functions in the Hardy space H1 by algebraic polynomials and trigonometric polynomials. Particulary, we establish a class of functions f âˆˆ H1 forâ€¦ (More)

in the class of all polynomials satisfying Pn(z0) = 0 and P â€² n(z0) = 1. There exists a polynomial Î n,p(z) furnishing to the (1) and Î n,p(z) is determined uniquely when p > 1. This kind ofâ€¦ (More)