Tomasz Beberok

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20162020

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math.CA2020

On $L^{p}$ Markov type inequality for some cuspidal domains in $R^{2}$

Tomasz Beberok

The purpose of this paper is to study a Markov type inequality for algebraic polynomials in $L^{p}$ norm on two-dimensional cuspidal domains.

math.CA2019

Markov's inequality on Koornwinder's domain in $L^{p}$ norms

Tomasz Beberok

Let $Ω = {(x, y) \in R^{2} : ∣ x ∣ < y + 1, x^{2} > 4 y}$ . We prove that the optimal exponent in Markov's inequality on $Ω$ in $L^{p}$ norms is 4.

math.CA2018

Markov's inequality and $C^{\infty}$ functions on algebraic sets

Tomasz Beberok

It is known that for $C^{\infty}$ determining sets Markov's property is equivalent to Bernstein's property. The purpose of this paper is to prove an analogous result in the case of…

On Lp Markov type inequality for some cuspidal domains in R2

Markov's inequality on Koornwinder's domain in Lp norms

Markov's inequality and C∞ functions on algebraic sets

On $L^{p}$ Markov type inequality for some cuspidal domains in $R^{2}$

Markov's inequality on Koornwinder's domain in $L^{p}$ norms

Markov's inequality and $C^{\infty}$ functions on algebraic sets