Bound-Preserving Operators and Bernstein Type Inequalities
نویسندگان
چکیده
منابع مشابه
Upper Estimates in Direct Inequalities for Bernstein-Type Operators
We obtain explicit upper estimates in direct inequalities with respect to the usual sup-norm distance for Bernstein-type operators. Our approach combines analytical and probabilistic techniques based on representations of the operators in terms of stochastic processes. We illustrate our results by considering some classical families of operators, such as Weierstrass, Sza sz, and Bernstein opera...
متن کاملOn Bernstein Type Inequalities for Complex Polynomial
In this paper, we establish some Bernstein type inequalities for the complex polynomial. Our results constitute generalizations and refinements of some well-known polynomial inequalities.
متن کاملBernstein Type Inequalities for Quasipolynomials
We prove a Bernstein type inequality for multivariate quasipolynomials and apply it to carry out the following results. (1) The evaluation of the uniform norm for a quasipolynomial on a convex body V/R by that on a measurable subset of V. (2) The estimate of the BMO-norm for a quasipolynomial in terms of its degree and exponential type. (3) The reverse Ho lder inequality with a dimensionless co...
متن کاملMarkov and Bernstein Type Inequalities on Subsets
We extend Markov’s, Bernsteins’s, and Videnskii’s inequalities to arbitrary subsets of [−1, 1] and [−π,π], respectively. The primary purpose of this note is to extend Markov’s and Bernsteins’s inequalities to arbitrary subsets of [−1, 1] and [−π, π], respectively. We denote by Pn the set of all real algebraic polynomials of degree at most n and let m(·) denote the Lebesque measure of a subset o...
متن کاملq−BERNSTEIN-SCHURER-KANTOROVICH TYPE OPERATORS
The aim of this paper is to present a Stancu type Kantorovich modification of q−BernsteinSchurer operators introduced by Muraru [22] and modified by Ren and Zeng [29]. Here, we obtain a convergence theorem by using the well known Bohman-Korovkin criterion and find the estimate of the rate of convergence by means of modulus of continuity and Lipschitz function for these operators. Also, we estab...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computational Methods and Function Theory
سال: 2004
ISSN: 1617-9447,2195-3724
DOI: 10.1007/bf03321857