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Some Inequalities for Derivatives of Polynomials

Wali Mohammad Shah|Gulshan Singh
경북대학교 자연과학대학 수학과|2017.12|Kyungpook Mathematical Journal|제57권 제4호|pp. 537-543

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참고문헌

키워드

PolynomialZerosExterior of circleLacunary.
주제분류수학

초록

In this paper, we generalize some earlier well known results by consideringpolynomials of lacunary type having some zeros at origin and rest of the zeros on or outsidethe boundary of a prescribed disk.

Abstract

In this paper, we generalize some earlier well known results by consideringpolynomials of lacunary type having some zeros at origin and rest of the zeros on or outsidethe boundary of a prescribed disk.

참고문헌 (12)

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  4. K. K. Dewan, "On maximum modulus for the derivative of a polynomial", Ann. Univ. Mariae Curie-Sklodowska Sect. A, 63, pp.55~62 (2009)
  5. N. K. Govil, "On a theorem S. Bernstein", J. Math. Phy. Sci., 14(2), pp.183~187 (1980)
  6. N. K. Govil, "Some inequalities for derivatives of polynomials", J. Approx. Theory, 66(1), pp.29~35 (1991)
  7. P. D. Lax, "Proof of a conjecture of P. Erdos on the derivative of a polynomial", Bull. Amer. Math. Soc., 50, pp.509~513 (1944)
  8. M. A. Malik, "On the derivative of a polynomial", J. London Math. Soc., 2(1), pp.57~60 (1969)
  9. M. A. Mir, "On extremal properties and location of zeros of polynomials", Ph.D, pp.2002
  10. M. S. Pukhta, "Extremal problems for polynomials and on location of zeros of polyno-mials", Ph.D, pp.1995
  11. M. A. Qazi, "On the maximum modulus of polynomials", Proc. Amer. Math. Soc., 115, pp.337~343 (1992)
  12. P. Turan, "Uber die Ableitung von polynomen", Compositio Math., 7, pp.89~95 (1939)

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