منابع مشابه
Best Constants for Certain Multilinear Integral Operators
Hilbert’s proof, apart from the determination of the best possible constant π csc(π/p), was published by Weyl [7]. The calculation of the constant, and the integral analogue of Hilbert’s double series theorem (for p = 2) are due to Schur [6]. The generalizations to other p′s of both the discrete and integral versions of this result were discovered later on by Hardy and Riesz and published by Ha...
متن کاملOn some constants in approximation by Bernstein operators
We estimate the constants sup x∈(0,1) sup f∈C[0,1]\Π1 |Bn(f,x)−f(x)| ω2 f, x(1−x) n and inf x∈(0,1) sup f∈C[0,1]\Π1 |Bn(f,x)−f(x)| ω2 f, x(1−x) n , where Bn is the Bernstein operator of degree n and ω2 is the second order modulus of continuity. 2000 Mathematical Subject Classification: 41A36, 41A10, 41A25,
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 کاملOn simultaneous approximation for some modified Bernstein-type operators
for n ≥ α, where α, β are integers satisfying α ≥ β ≥ 0 and In ⊆ {0,1,2, . . . ,n} is a certain index set. For α = β = 0, In = {0}, this definition reduces to the BernsteinDurrmeyer operators, which were first studied by Derriennic [3]. Also if α = β = 1, In = {0}, we obtain the recently introduced sequence of Gupta and Maheshwari [4], that is, Mn,1,1(f ,x)≡ Pn(f ,x) which is defined as Pn(f ,x...
متن کاملOn certain q-Durrmeyer type operators
Deo [5] introduced n-th Durrmeyer operators defined for functions integrable in some interval I. There are gaps and mistakes in some of his lemmas and theorems. Further, in his paper [4] he did not give results on simultaneous approximation as the title reveals. The purpose of this paper is to correct those mistakes. AMS subject classifications: 41A25, 41A30
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: Journal of Approximation Theory
سال: 2001
ISSN: 0021-9045
DOI: 10.1006/jath.2001.3612