In this paper we give a solution of the problem of the best approximation in the uniform norm of the differentiation operator of order k by bounded linear operators in the class of functions with the property that the Fourier transforms of their derivatives of order n (0 < k <n) are finite measures. We also determine the exact value of the best constant in the corresponding inequality for derivatives
2000 Mathematics Subject Classification: 46B70, 41A10, 41A25, 41A27, 41A35, 41A36, 42A10.The paper p...
In this paper, we obtain an approximation theorem by max-product operators with the use of power ser...
AbstractFor f∈Lp(Rn), with 1⩽p<∞, ε>0 and x∈Rn we denote by Tε(f)(x) the set of every best constant ...
In this paper we give a solution of the problem of the best approximation in the uniform norm of the...
In this paper we give a solution of the problem of the best approximation in the uniform norm of the...
AbstractGiven a smooth function ƒ and a bound on its derivatives we construct an optimal linear esti...
In the class of functions analytic in the annulus \(C_r:=\left\{z\in\mathbb{C}\, :\, r<|z|<1\right\}...
In the class of functions analytic in the annulus Cr:={z∈C:r<|z|<1} with bounded Lp-norms on the uni...
We consider a variant \(E_{n,k}(N;r,r;p,p)\) of the four-parameter Stechkin problem \(E_{n,k}(N;r,s...
For each $f\in L^p({\mathbb R)}$ ($1\leq p<\infty$) it is shown that the Fourier transform is the di...
AbstractFor any n-times differentiable function f with uniform bounds on f and f(n), we study the pa...
AbstractIn this paper, we estimate the order of approximation by derivatives of shape-preserving and...
AbstractIn this paper, we present some quantitative results concerning the approximation of the kth ...
AbstractConvergence properties of sequences of continuous functions, with kth order divided differen...
AbstractFor a certain class of sequences (Ln) of linear positive operators that are related to sums ...
2000 Mathematics Subject Classification: 46B70, 41A10, 41A25, 41A27, 41A35, 41A36, 42A10.The paper p...
In this paper, we obtain an approximation theorem by max-product operators with the use of power ser...
AbstractFor f∈Lp(Rn), with 1⩽p<∞, ε>0 and x∈Rn we denote by Tε(f)(x) the set of every best constant ...
In this paper we give a solution of the problem of the best approximation in the uniform norm of the...
In this paper we give a solution of the problem of the best approximation in the uniform norm of the...
AbstractGiven a smooth function ƒ and a bound on its derivatives we construct an optimal linear esti...
In the class of functions analytic in the annulus \(C_r:=\left\{z\in\mathbb{C}\, :\, r<|z|<1\right\}...
In the class of functions analytic in the annulus Cr:={z∈C:r<|z|<1} with bounded Lp-norms on the uni...
We consider a variant \(E_{n,k}(N;r,r;p,p)\) of the four-parameter Stechkin problem \(E_{n,k}(N;r,s...
For each $f\in L^p({\mathbb R)}$ ($1\leq p<\infty$) it is shown that the Fourier transform is the di...
AbstractFor any n-times differentiable function f with uniform bounds on f and f(n), we study the pa...
AbstractIn this paper, we estimate the order of approximation by derivatives of shape-preserving and...
AbstractIn this paper, we present some quantitative results concerning the approximation of the kth ...
AbstractConvergence properties of sequences of continuous functions, with kth order divided differen...
AbstractFor a certain class of sequences (Ln) of linear positive operators that are related to sums ...
2000 Mathematics Subject Classification: 46B70, 41A10, 41A25, 41A27, 41A35, 41A36, 42A10.The paper p...
In this paper, we obtain an approximation theorem by max-product operators with the use of power ser...
AbstractFor f∈Lp(Rn), with 1⩽p<∞, ε>0 and x∈Rn we denote by Tε(f)(x) the set of every best constant ...
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