Bernstein-type operators that reproduce exponential functions

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Bernstein type operators with a better approximation for some functions

In this paper we construct new operators of Bernstein type with a better approximation than the classical Bernstein operator for some classes of functions on the whole interval [0,1]. Convergence of these operators and their shape preserving properties are discussed. We determine the subintervals in [0,1] in which the approximation order of constructed operators is better than that of the Berns...

متن کامل

q−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 کامل

Blending Type Approximation by Bernstein-durrmeyer Type Operators

In this note, we introduce the Durrmeyer variant of Stancu operators that preserve the constant functions depending on non-negative parameters. We give a global approximation theorem in terms of the Ditzian-Totik modulus of smoothness, a Voronovskaja type theorem and a local approximation theorem by means of second order modulus of continuity. Also, we obtain the rate of approximation for absol...

متن کامل

A Sharp Bernstein-type Inequality for Exponential Sums

A subtle Bernstein-type extremal problem is solved by establishing the equality sup 06=f∈e E2n |f ′(0)| ‖f‖[−1,1] = 2n − 1 , where e E2n := ( f : f(t) = a0 + n X j=1 aje λjt + bje −λjt , aj , bj , λj ∈ R ) . This settles a conjecture of Lorentz and others and it is surprising to be able to provide a sharp solution. It follows fairly simply from the above that 1 e − 1 n − 1 min{y − a, b − y} ≤ s...

متن کامل

ذخیره 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: Journal of Mathematical Inequalities

سال: 2018

ISSN: 1846-579X

DOI: 10.7153/jmi-2018-12-64