AbstractLet I=[a,b]⊂R, let 1<p⩽q<∞, let u and v be positive functions with u∈Lp′(I), v∈Lq(I) and let T:Lp(I)→Lq(I) be the Hardy-type operator given by(Tf)(x)=v(x)∫axf(t)u(t)dt,x∈I. We show that the Bernstein numbers bn of T satisfylimn→∞nbn=cpq(∫I(uv)rdt)1/r,1/r=1/p′+1/q, where cpq is an explicit constant depending only on p and q
AbstractIn this paper we present the sequence of linear Bernstein-type operators defined for f∈C[0,1...
In this work we discuss generalizations of the classical Bernstein and Markov type inequalities for ...
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...
AbstractLet I=[a,b]⊂R, let 1<p⩽q<∞, let u and v be positive functions with u∈Lp′(I), v∈Lq(I) and let...
AbstractWe provide a survey of the contributors of Des Evans dealing with operators T of the form TF...
AbstractConsider the Hardy-type operator T: Lp(a,b)→Lp(a,b),-∞⩽a<b⩽∞, which is defined by(Tf)(x)=v(x...
Let I = [a, b] ⊂ R, let p: I → (1,∞) be either a step function or strong log-Hölder continuous on ...
We consider the classes of periodic functions with formal self-adjoint linear differential operators...
We consider the classes of periodic functions with formal self-adjoint linear differential operators...
AbstractUsing a variational principle for s-numbers, we obtain estimates for the linear, Gel′fand. a...
AbstractGelfand and Bernstein numbers are certain functionals associated with operators between Bana...
AbstractUsing a variational principle for s-numbers, we obtain estimates for the linear, Gel′fand. a...
This book provides comprehensive information on the main aspects of Bernstein operators, based on th...
AbstractLet h(t) = Σn ≥ 1hntn, h1 > 0, and exp(xh(t)) = Σn ≥ 0Pn(x) tn/n!. For f ∈ C[0,1], the assoc...
AbstractLet h(t) = Σn ≥ 1hntn, h1 > 0, and exp(xh(t)) = Σn ≥ 0Pn(x) tn/n!. For f ∈ C[0,1], the assoc...
AbstractIn this paper we present the sequence of linear Bernstein-type operators defined for f∈C[0,1...
In this work we discuss generalizations of the classical Bernstein and Markov type inequalities for ...
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...
AbstractLet I=[a,b]⊂R, let 1<p⩽q<∞, let u and v be positive functions with u∈Lp′(I), v∈Lq(I) and let...
AbstractWe provide a survey of the contributors of Des Evans dealing with operators T of the form TF...
AbstractConsider the Hardy-type operator T: Lp(a,b)→Lp(a,b),-∞⩽a<b⩽∞, which is defined by(Tf)(x)=v(x...
Let I = [a, b] ⊂ R, let p: I → (1,∞) be either a step function or strong log-Hölder continuous on ...
We consider the classes of periodic functions with formal self-adjoint linear differential operators...
We consider the classes of periodic functions with formal self-adjoint linear differential operators...
AbstractUsing a variational principle for s-numbers, we obtain estimates for the linear, Gel′fand. a...
AbstractGelfand and Bernstein numbers are certain functionals associated with operators between Bana...
AbstractUsing a variational principle for s-numbers, we obtain estimates for the linear, Gel′fand. a...
This book provides comprehensive information on the main aspects of Bernstein operators, based on th...
AbstractLet h(t) = Σn ≥ 1hntn, h1 > 0, and exp(xh(t)) = Σn ≥ 0Pn(x) tn/n!. For f ∈ C[0,1], the assoc...
AbstractLet h(t) = Σn ≥ 1hntn, h1 > 0, and exp(xh(t)) = Σn ≥ 0Pn(x) tn/n!. For f ∈ C[0,1], the assoc...
AbstractIn this paper we present the sequence of linear Bernstein-type operators defined for f∈C[0,1...
In this work we discuss generalizations of the classical Bernstein and Markov type inequalities for ...
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...
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