A Markov-type inequality for seminormed fuzzy integrals

2013 ◽  
Vol 219 (22) ◽  
pp. 10746-10752 ◽  
Author(s):  
J. Caballero ◽  
K. Sadarangani
Keyword(s):  
Type Inequality ◽  
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

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

On Vladimir Markov type inequality in Lp norms on the interval [-1; 1]

2019 ◽  
Vol 7 (4) ◽  
pp. 9-12
Author(s):  
Mirosław Baran ◽  
Paweł Ozorka
Keyword(s):  
Linear Operator ◽  
Type Inequality ◽  
Normed Spaces ◽  
Markov Type ◽  
Lp Norms ◽  
Wiener Type

We prove inequality ||P(k)||Lp(-1;1)≤Bp||Tn(k)||Lp(-1;1)n^(2/p) ||P||Lp(-1;1); where Bp are constants independent of n = deg P with 1 ≤ p ≤ 2, which is sharp in the case k ≥ 3. A method presented in this note is based on a factorization of linear operator of k-th derivative throughout normed spaces of polynomial equipped with a Wiener type norm.

Sign in / Sign up

Export Citation Format

Share Document