# Remarks on an article of J.P. King

Commentationes Mathematicae Universitatis Carolinae (2005)

- Volume: 46, Issue: 4, page 645-652
- ISSN: 0010-2628

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topGonska, Heiner, and Piţul, Paula. "Remarks on an article of J.P. King." Commentationes Mathematicae Universitatis Carolinae 46.4 (2005): 645-652. <http://eudml.org/doc/249520>.

@article{Gonska2005,

abstract = {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.},

author = {Gonska, Heiner, Piţul, Paula},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {positive linear operators; degree of approximation; contraction principle; second order modulus; second moments; positive linear operators; degree of approximation},

language = {eng},

number = {4},

pages = {645-652},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {Remarks on an article of J.P. King},

url = {http://eudml.org/doc/249520},

volume = {46},

year = {2005},

}

TY - JOUR

AU - Gonska, Heiner

AU - Piţul, Paula

TI - Remarks on an article of J.P. King

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 2005

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 46

IS - 4

SP - 645

EP - 652

AB - 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.

LA - eng

KW - positive linear operators; degree of approximation; contraction principle; second order modulus; second moments; positive linear operators; degree of approximation

UR - http://eudml.org/doc/249520

ER -

## References

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- Păltănea R., Approximation by linear positive operators: Estimates with second order moduli, Ed. Univ. Transilvania, Braşov, 2003.
- Rus I.A., Iterates of Bernstein operators, via contraction principle, J. Math. Anal. Appl. 292 (2004), 259-261. (2004) Zbl1056.41004MR2050229
- Shisha O., Mond B., The degree of convergence of linear positive operators, Proc. Nat. Acad. Sci. U.S.A. 60 (1968), 1196-1200. (1968) MR0230016

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