Abstract. The principal result of this paper is a Remez-type inequality for Müntz polynomials: n∑ p(x): = aix λi, or equivalently for Dirichlet sums: P(t):= i=0 n∑ aie −λit, i=0 where (λi) ∞ i=0 is a sequence of distinct real numbers. The most useful form of this inequality states that for every sequence (λi) ∞ i=0 satisfyin
summary:In this short note we utilize the Borsuk-Ulam Anitpodal Theorem to present a simple proof of...
We extend Markov's, Bernsteins's, and Videnskii's inequalities to arbitrary subsets o...
Let $\psi$ be a continuous decreasing function defined on all large positive real numbers. We say th...
. The principal result of this paper is a Remez-type inequality for Muntz polynomials: p(x) := n ...
Abstract. The principal result of this paper is a Remez-type inequality for Müntz polynomials: n∑ p(...
The principal result of this paper is a Remez-type inequality for Muntz polynomials: or equiva...
AbstractThe Remez inequality gives a sharp uniform bound on [−1, 1] for real algebraic polynomials p...
AbstractLetΛ:=(λk)∞k=0be a sequence of distinct nonnegative real numbers withλ0:=0 and ∑∞k=11/λk<∞. ...
subsets of [−1,1] and [−π,π], respectively. The primary purpose of this noteis to extend Markov’sand...
AbstractThe principal result of this paper is the following Markov-type inequality for Müntz polynom...
Abstract. Remez-type inequalities provide upper bounds for the uniform norms of polynomials on give...
Consider an open, bounded set Ω ⊂ ℂ, a positive integer k and a compact K ⊂ Ω of cardinality strictl...
AbstractWe study Remez-type inequalities for univariate and multivariate polynomials on bounded sets...
AbstractLet Λ≔(λj)∞j=0 be a sequence of distinct real numbers. The span of {xλ0, xλ1, …, xλn} over R...
AbstractLet {γm}m=1∞be a sequence of positive numbers, and letf:Rd→Cbe a function such that for some...
summary:In this short note we utilize the Borsuk-Ulam Anitpodal Theorem to present a simple proof of...
We extend Markov's, Bernsteins's, and Videnskii's inequalities to arbitrary subsets o...
Let $\psi$ be a continuous decreasing function defined on all large positive real numbers. We say th...
. The principal result of this paper is a Remez-type inequality for Muntz polynomials: p(x) := n ...
Abstract. The principal result of this paper is a Remez-type inequality for Müntz polynomials: n∑ p(...
The principal result of this paper is a Remez-type inequality for Muntz polynomials: or equiva...
AbstractThe Remez inequality gives a sharp uniform bound on [−1, 1] for real algebraic polynomials p...
AbstractLetΛ:=(λk)∞k=0be a sequence of distinct nonnegative real numbers withλ0:=0 and ∑∞k=11/λk<∞. ...
subsets of [−1,1] and [−π,π], respectively. The primary purpose of this noteis to extend Markov’sand...
AbstractThe principal result of this paper is the following Markov-type inequality for Müntz polynom...
Abstract. Remez-type inequalities provide upper bounds for the uniform norms of polynomials on give...
Consider an open, bounded set Ω ⊂ ℂ, a positive integer k and a compact K ⊂ Ω of cardinality strictl...
AbstractWe study Remez-type inequalities for univariate and multivariate polynomials on bounded sets...
AbstractLet Λ≔(λj)∞j=0 be a sequence of distinct real numbers. The span of {xλ0, xλ1, …, xλn} over R...
AbstractLet {γm}m=1∞be a sequence of positive numbers, and letf:Rd→Cbe a function such that for some...
summary:In this short note we utilize the Borsuk-Ulam Anitpodal Theorem to present a simple proof of...
We extend Markov's, Bernsteins's, and Videnskii's inequalities to arbitrary subsets o...
Let $\psi$ be a continuous decreasing function defined on all large positive real numbers. We say th...