Results 21 to 30 of about 499 (64)
Infinite matrices, wavelet coefficients and frames
We study the action of A on f ∈ L2(ℝ) and on its wavelet coefficients, where A=(almjk) lmjk is a double infinite matrix. We find the frame condition for A‐transform of f ∈ L2(ℝ) whose wavelet series expansion is known.
N. A. Sheikh, M. Mursaleen
wiley +1 more source
Rate of convergence on Baskakov‐Beta‐Bezier operators for bounded variation functions
We introduce a new sequence of linear positive operators Bn,α(f, x), which is the Bezier variant of the well‐known Baskakov Beta operators and estimate the rate of convergence of Bn,α(f, x) for functions of bounded variation. We also propose an open problem for the readers.
Vijay Gupta
wiley +1 more source
Nonlinear conditions for the existence of best proximity points
In this paper, we first introduce the new notion of MT-cyclic contraction and establish some new existence and convergence theorems of iterates of best proximity points for MT-cyclic contractions.
Wei-Shih Du, H. Lakzian
semanticscholar +1 more source
Stečkin inequalities for summability methods
Stečkin proved an inequality on Fejér means of Fourier series He said, “Proving similar inequality for other summability method is an interesting problem.” We generalize Stečkin′s inequality and give various applications to summability methods.
Jia-Ding Cao
wiley +1 more source
A pointwise approximation theorem for linear combinations of Bernstein polynomials
Recently, Z. Ditzian gave an interesting direct estimate for Bernstein polynomials. In this paper we give direct and inverse results of this type for linear combinations of Bernstein polynomials.
Shunsheng Guo +4 more
wiley +1 more source
Weighted approximation by Baskakov operators
The weighted approximation errors of Baskakov operator is characterized for weights of the form w(x) = xγ0 (1+ x)γ∞ , where γ0 ∈ [−1,0] , γ∞ ∈ R . Direct inequalities and strong converse inequalities of type A are proved in terms of the weighted K ...
I. Gadjev
semanticscholar +1 more source
Properties of the modulus of continuity for monotonous convex functions and applications
For a monotone convex function f ∈ C[a, b] we prove that the modulus of continuity w(f; h) is concave on [a, b] as function of h. Applications to approximation theory are obtained.
Sorin Gheorghe Gal
wiley +1 more source
Finite‐infinite range inequalities in the complex plane
Let E⫅C be closed, ω be a suitable weight function on E, σ be a positive Borel measure on E. We discuss the conditions on ω and σ which ensure the existence of a fixed compact subset K of E with the following property. For any p, 0 < P ≤ ∞, there exist positive constants c1, c2 depending only on E, ω, σ and p such that for every integer n ≥ 1 and every
H. N. Mhaskar
wiley +1 more source
Bernstein-Jackson-type inequalities and Besov spaces associated with unbounded operators
Besov-type interpolation spaces and appropriate Bernstein-Jackson inequalities, generated by unbounded linear operators in a Banach space, are considered.
M. Dmytryshyn, O. Lopushansky
semanticscholar +1 more source
An analogue of the Bernstein-Walsh lemma in Jordan regions of the complex plane
In this paper we continue to study two-dimensional analogues of Bernstein-Walsh estimates for arbitrary Jordan domains.MSC:Primary 30A10; 30C10; secondary 41A17.
F. Abdullayev, N. P. Özkartepe
semanticscholar +1 more source

