한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제28권4호
  • /
  • Pages.343-353
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  • 2021
  • /
  • 1226-0657(pISSN)
  • /
  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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GENERALIZATION OF SOME INEQUALITIES TO THE CLASS OF GENERALIZED DERIVATIVE

  • 투고 : 2021.05.22
  • 심사 : 2021.07.02
  • 발행 : 2021.11.30
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초록

In this paper, we obtain some inequalities concerning the class of generalized derivative and generalized polar derivative which are analogous respectively to the ordinary derivative and polar derivative of polynomials.

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과제정보

The referees have reviewed the paper very carefully. The authors express their deep thanks for the comments.

참고문헌

  1. A. Aziz: Inequalities for the derivative of a polynomial. Proc. Amer. Math. Soc. 89 (1983), no. 2, 259-266. https://doi.org/10.1090/S0002-9939-1983-0712634-5
  2. A. Aziz & N.A. Rather: A refinement of a theorem of paul Turan concerning polynomials. Math. Ineq. Appl. 1 (1998), 231-238. https://doi.org/10.7153/mia-2020-23-18
  3. A. Aziz & N.A. Rather: Inequalities for the derivative of a polynomial with restricted zeros. Math. Balk. 17 (2003), 15-28.
  4. V.N. Dubinin: Application of the Schwarz lemma to inequalities for entire functions with constraints on zeros. J. Math. Sci. 143 (2007), 3069-3076. https://doi.org/10.1007/s10958-007-0192-4
  5. M.A. Malik: On the derivative of a polynomial. J. Lond. Math. Soc. 1 (1969), 57-60. https://doi.org/10.1112/jlms/s2-1.1.57
  6. R. Osserman: A sharp Schwarz inequality on the boundary. Proc. Amer. Math. Soc. 128 (2000), no. 12, 3513-3517. https://doi.org/10.1090/S0002-9939-00-05463-0
  7. N.A. Rather et al.: Some inequalities for polynomials with restricted zeros. Annali Dell' Univerita' Diferrara, (2020)
  8. N.A.Rather, A. Iqbal & Ishfaq Dar: On the zeros of a class of generalized derivatives. Rendiconti del Circolo Mathematico di Palermo Series 2 (2020).
  9. P. Turan: Uber die Ableitung von Polynomen. Compos. Math. 7 (1939), 89-95.