scholarly journals Asymptotics of the Best Constant in a Certain Markov-Type Inequality

2002 ◽  
Vol 114 (1) ◽  
pp. 84-97 ◽  
Author(s):  
P. Dörfler
Keyword(s):  
Type Inequality ◽  
Best Constant ◽  
Markov Type

scholarly journals Lupaş-type inequality and applications to Markov-type inequalities in weighted Sobolev spaces

2020 ◽  
pp. 1950022
Author(s):  
Francisco Marcellán ◽  
José M. Rodríguez
Keyword(s):  
Sobolev Spaces ◽  
Jacobi Polynomials ◽  
Weighted Sobolev Spaces ◽  
Type Inequality ◽  
The Other ◽  
Main Role ◽  
Markov Type ◽  
Sobolev Orthogonal Polynomials ◽  
Approximation Problems ◽  
Connection Formulas

Weighted Sobolev spaces play a main role in the study of Sobolev orthogonal polynomials. In particular, analytic properties of such polynomials have been extensively studied, mainly focused on their asymptotic behavior and the location of their zeros. On the other hand, the behavior of the Fourier–Sobolev projector allows to deal with very interesting approximation problems. The aim of this paper is twofold. First, we improve a well-known inequality by Lupaş by using connection formulas for Jacobi polynomials with different parameters. In the next step, we deduce Markov-type inequalities in weighted Sobolev spaces associated with generalized Laguerre and generalized Hermite weights.

A V. A. Markov type inequality in Lp

1983 ◽  
Vol 22 (2) ◽  
pp. 1226-1231
Author(s):  
A. N. Podkorytov ◽  
E. M. Dyn'kin
Keyword(s):  
Type Inequality ◽  
Markov Type

A note on the one-dimensional maximal function

1989 ◽  
Vol 111 (3-4) ◽  
pp. 325-328 ◽  
Author(s):  
Antonio Bernal
Keyword(s):  
Maximal Function ◽  
Weak Type ◽  
Type Inequality ◽  
Best Constant ◽  
Weak Type Inequality ◽  
One Dimensional ◽  
Littlewood Maximal Function ◽  
The One

SynopsisIn this note, we consider the Hardy-Littlewood maximal function on R for arbitrary measures, as was done by Peter Sjögren in a previous paper. We determine the best constant for the weak type inequality.

scholarly journals A reverse Hilbert-type inequality with a generalized homogeneous kernel

2011 ◽  
Vol 42 (1) ◽  
pp. 1-7
Author(s):  
Bing He
Keyword(s):  
Weight Function ◽  
Integral Inequality ◽  
Equivalent Form ◽  
Type Inequality ◽  
Constant Factor ◽  
Homogeneous Kernel ◽  
Best Constant ◽  
Type Integral ◽  
Best Constant Factor ◽  
Hilbert Type

Inthispaper,by introducing a generalized homogeneous kernel and estimating the weight function,a new reverse Hilbert-type integral inequality with some parameters and a best constant factor is established.Furthermore, the corresponding equivalent form is considered.

scholarly journals An estimate for the best constant in theLp-Wirtinger inequality with weights

2008 ◽  
Vol 6 (1) ◽  
pp. 1-16
Author(s):  
Raffaella Giova
Keyword(s):  
Type Inequality ◽  
Best Constant ◽  
Wirtinger Inequality

We prove an estimate for the best constantCin the following Wirtinger type inequality∫02πa|w|p≤C∫02πb|w′|p.

Inequalities for Rational Functions With Prescribed Poles

1998 ◽  
Vol 50 (1) ◽  
pp. 152-166 ◽  
Author(s):  
G. Min
Keyword(s):  
Type Inequality ◽  
Rational Functions ◽  
Complex Conjugation ◽  
Bernstein Type ◽  
Rational System ◽  
Markov Type ◽  
Classical Polynomials ◽  
Bernstein Type Inequalities

AbstractThis paper considers the rational system Pn(a1, a2,……,an) := with nonreal elements in paired by complex conjugation. It gives a sharp (to constant) Markov-type inequality for real rational functions in Pn(a1, a2,……an). The corresponding Markov-type inequality for high derivatives is established, as well as Nikolskii-type inequalities. Some sharp Markov- and Bernstein-type inequalities with curved majorants for rational functions in Pn(a1, a2,……an) are obtained, which generalize some results for the classical polynomials. A sharp Schur-type inequality is also proved and plays a key role in the proofs of our main results

Sign in / Sign up

Export Citation Format

Share Document