Remarks on some recent results about polynomials with restricted zeros

M. A. Qazi

Annales UMCS, Mathematica (2013)

  • Volume: 67, Issue: 2, page 59-64
  • ISSN: 2083-7402

Abstract

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We point out certain flaws in two papers published in Ann. Univ. Mariae Curie-Skłodowska Sect. A, one in 2009 and the other in 2011. We discuss in detail the validity of the results in the two papers in question

How to cite

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M. A. Qazi. "Remarks on some recent results about polynomials with restricted zeros." Annales UMCS, Mathematica 67.2 (2013): 59-64. <http://eudml.org/doc/267620>.

@article{M2013,
abstract = {We point out certain flaws in two papers published in Ann. Univ. Mariae Curie-Skłodowska Sect. A, one in 2009 and the other in 2011. We discuss in detail the validity of the results in the two papers in question},
author = {M. A. Qazi},
journal = {Annales UMCS, Mathematica},
keywords = {Polynomials; extremal properties; Bernstein’s inequality; polynomials; Bernstein inequality},
language = {eng},
number = {2},
pages = {59-64},
title = {Remarks on some recent results about polynomials with restricted zeros},
url = {http://eudml.org/doc/267620},
volume = {67},
year = {2013},
}

TY - JOUR
AU - M. A. Qazi
TI - Remarks on some recent results about polynomials with restricted zeros
JO - Annales UMCS, Mathematica
PY - 2013
VL - 67
IS - 2
SP - 59
EP - 64
AB - We point out certain flaws in two papers published in Ann. Univ. Mariae Curie-Skłodowska Sect. A, one in 2009 and the other in 2011. We discuss in detail the validity of the results in the two papers in question
LA - eng
KW - Polynomials; extremal properties; Bernstein’s inequality; polynomials; Bernstein inequality
UR - http://eudml.org/doc/267620
ER -

References

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  1. [1] Ahuja, A., Dewan, K. K., Hans, S., Inequalities concerning polar derivative of polynomials, Ann. Univ. Mariae Curie-Skłodowska Sect. A 65 (2011), 1-9. 
  2. [2] Dewan, K. K., Hans, S., On maximum modulus for the derivative of a polynomial, Ann. Univ. Mariae Curie-Skłodowska Sect. A 63 (2009), 55-62. 
  3. [3] Govil, N. K., On the derivative of a polynomial, Proc. Amer. Math. Soc. 41 (1973), 543-546.[Crossref] Zbl0279.30004
  4. [4] Govil, N. K., On a theorem of S. Bernstein, J. Math. Phys. Sci. 14 (1980), 183-187. Zbl0444.30007
  5. [5] Rahman, Q. I., Schmeisser, G., Analytic Theory of Polynomials, Clarendon Press, Oxford, 2002. Zbl1072.30006

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