Rate of convergence for a general sequence of Durrmeyer type operators.
Rate of convergence of beta operators of second kind for functions with derivatives of bounded variation.
Rate of convergence of Chlodowsky operators for functions with derivatives of bounded variation.
Rate of convergence of Chlodowsky type Durrmeyer operators.
Rate of convergence of some neural network operators to the unit-univariate case, revisited
Rate of convergence of summation-integral type operators with derivatives of bounded variation.
Rate of convergence of the discrete Pólya algorithm from convex sets. A particular case.
Rate of convergence on Baskakov-Beta-Bézier operators for bounded variation functions.
Rates of Convergence for the Approximation of Dual Shift-Invariant Systems in ... (...).
Rates of convergence of Chlodovsky-Kantorovich polynomials in classes of locally integrable functions
In this paper we establish an estimation for the rate of pointwise convergence of the Chlodovsky-Kantorovich polynomials for functions f locally integrable on the interval [0,∞). In particular, corresponding estimation for functions f measurable and locally bounded on [0,∞) is presented, too.
Reflections on Value Regions, Limit Regions and Truncation Errors for Continued Fractions.
Remarks on an article of J.P. King
The present note discusses an interesting positive linear operator which was recently introduced by J.P. King. New estimates in terms of the first and second modulus of continuity are given, and iterates of the operators are considered as well. For general King operators the second moments are minimized.
Remarks on Voronovskaya's theorem.
Replicant compression coding in Besov spaces
We present here a new proof of the theorem of Birman and Solomyak on the metric entropy of the unit ball of a Besov space on a regular domain of The result is: if s - d(1/π - 1/p)+> 0, then the Kolmogorov metric entropy satisfies H(ε) ~ ε-d/s. This proof takes advantage of the representation of such spaces on wavelet type bases and extends the result to more general spaces. The lower bound is a consequence of very simple probabilistic exponential inequalities. To prove the upper bound,...
Replicant compression coding in Besov spaces
We present here a new proof of the theorem of Birman and Solomyak on the metric entropy of the unit ball of a Besov space on a regular domain of The result is: if then the Kolmogorov metric entropy satisfies . This...