Rate of convergence for a general sequence of Durrmeyer type operators.
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Kumar, Niraj (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Gupta, Vijay, Abel, Ulrich, Ivan, Mircea (2005)
International Journal of Mathematics and Mathematical Sciences
Karsli, Harun (2008)
Applied Mathematics E-Notes [electronic only]
Ibikli, Ertan, Karsli, Harun (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
George A. Anastassiou (2013)
Matematički Vesnik
Gupta, Vijay, Vasishtha, Vipin, Gupta, M.K. (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Marano, M., Navas, J., Quesada, J.M. (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Gupta, Vijay (2002)
International Journal of Mathematics and Mathematical Sciences
Thomas Strohmer (1999)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Paulina Pych-Taberska (2009)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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.
Egil Rye, Haakon Waadeland (1985)
Numerische Mathematik
Heiner Gonska, Paula Piţul (2005)
Commentationes Mathematicae Universitatis Carolinae
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.
Gonska, Heiner, Raşa, Ioan (2008)
General Mathematics
Gérard Kerkyacharian, Dominique Picard (2010)
ESAIM: Probability and Statistics
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,...
Gérard Kerkyacharian, Dominique Picard (2003)
ESAIM: Probability and Statistics
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...
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