Inequalities for the Landau constants

Djurdje Cvijović; Jacek Klinowski

Mathematica Slovaca (2000)

  • Volume: 50, Issue: 2, page 159-164
  • ISSN: 0232-0525

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Cvijović, Djurdje, and Klinowski, Jacek. "Inequalities for the Landau constants." Mathematica Slovaca 50.2 (2000): 159-164. <http://eudml.org/doc/31785>.

@article{Cvijović2000,
author = {Cvijović, Djurdje, Klinowski, Jacek},
journal = {Mathematica Slovaca},
keywords = {Landau constant; digamma function},
language = {eng},
number = {2},
pages = {159-164},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Inequalities for the Landau constants},
url = {http://eudml.org/doc/31785},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Cvijović, Djurdje
AU - Klinowski, Jacek
TI - Inequalities for the Landau constants
JO - Mathematica Slovaca
PY - 2000
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 50
IS - 2
SP - 159
EP - 164
LA - eng
KW - Landau constant; digamma function
UR - http://eudml.org/doc/31785
ER -

References

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  1. Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables (M. Abramowitz, I. Stegun, eds.), Dover Publications Inc., New York, 1972. (1972) Zbl0543.33001MR1225604
  2. BRUTMAN L., A sharp estimate of the Landau constants, J. Approx. Theory 34 (1982), 217-220. (1982) Zbl0486.41013MR0654287
  3. FALALEEV L. P., Inequalities for the Landau constants, Siberian Math. J. 32 (1991), 896-897. (1991) Zbl0778.41014MR1155818
  4. GRADSHTEYN I. S.-RYZHIK I. M., Table of Integrals, Series, and Products, Academic Press, New York-London-Toronto, 1980. (1980) Zbl0521.33001MR0582453
  5. GURLAND J., On Wallis's formula, Amer. Math. Monthly 63 (1956), 643-645. (1956) MR0082117
  6. HANSEN E. R., A Table of Series and Products, Prentice-Hall, Englewood Cliffs, N.J., 1975. (1975) Zbl0438.00001
  7. LANDAU E., Abschtzung der Koeffiziententensumme einer Potenzreihe, Arch. Math. Phys. 21 (1913), 42-50. (1913) 
  8. PALAGALLO J. A.-PRICE, Jr. T. E., Near-best approximation by averaging polynomial interpolants, IMA J. Numer. Anal. 7 (1987), 107-122. (1987) Zbl0621.41005MR0967838
  9. WATSON G. N., The constants of the Landau and Lebesgue, Quart. J. Math. Oxford Ser. (2) 1 (1930), 310-318. (1930) 

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