본문 바로가기
KERD
논문KCI 등재

Inequalities for a Polynomial and its Derivative

Mohammad Syed Pukhta
경북대학교 자연과학대학 수학과|2015.09|Kyungpook Mathematical Journal|제55권 제3호|pp. 689-694

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

inequalityDerivativepolynomialZeros
주제분류수학

초록

In this paper we consider the class of polynomials of the type p(z)=z s (a0 +∑ n−s j=μ aj zj ) , 1≤μ≤n−s , 0≤s≤n−1 having some zeros at origin and rest of zeros on or outside the boundary of a prescribed disk, and obtain the generalization of well known results.

Abstract

In this paper we consider the class of polynomials of the type p(z)=z s (a0 +∑ n−s j=μ aj zj ) , 1≤μ≤n−s , 0≤s≤n−1 having some zeros at origin and rest of zeros on or outside the boundary of a prescribed disk, and obtain the generalization of well known results.

참고문헌 (10)

  1. M. S. Pukhta., "Note on a theorem of S. Bernstein", J. Comp. & Math. Sci, 1(14), pp.419~423 (2010)
  2. T. N. Chan., "On Erdos-Lax Theorem", Proc. Indian Acad. Math. Sci, 92(3), pp.191~193 (1983)
  3. K. K. Dewan., "On extremal properties for the derivative of polynomials", Mathematica balkanica, 23(Fasc. 1-2), pp.27~35 (2009)
  4. S. Bernestein, "Lecons sur less propries extremales et la meilleure dune functions rella", ~ (1926)
  5. N. K. Govil, "On a theorem of S. Bernstein", J. Math. and Phy. Sci, 14, pp.183~187 (1980)
  6. P. D. Lax, "Proof of a conjecture of P. Erdos on the derivative of a polynomial", Amer. Math. Soc. Bull, 50, pp.509~513 (1944)
  7. M. A. Malik, "On the derivative of a polynomial", J. London Math. Soc, 2(1) (1969)
  8. M. S. Pukhta, "Extremal Problems for Polynomials and on location of zeros of poly- nomials", 박사, pp.1995
  9. M. A. Qazi, "On the maximum modulus of polynomials", Proc. Amer. Math. Soc, 115, pp.337~343 (1992)
  10. N. K. Govil, "Some inequalities for derivative of polynomials", J. Approx. Theory, 66(1), pp.29~35 (1991)

관련 논문AI추천

Some Inequalities for Derivatives of PolynomialsGulshan Singh, Wali Mohammad Shah경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2017 · 제57권 제4호Inequalities concerning polynomial and its derivativeB. A. Zargar, M. H. Gulzar, Tawheeda Akhter강원경기수학회 · 한국수학논문집2021 · 제29권 제3호Inequalities for a polynomial whose zeros are within or outside a given diskLubna Wali Shah, Mohd Yousf Mir, Wali Mohammad Shah강원경기수학회 · 한국수학논문집2022 · 제30권 제2호Inequalities for the derivative of polynomials with restricted zerosA. Iqbal, Ishfaq Dar, N. A. Rather강원경기수학회 · 한국수학논문집2020 · 제28권 제4호LP−TYPE INEQUALITIES FOR DERIVATIVE OF A POLYNOMIALIrfan Ahmad Wani, Ishfaq Nazir, Mohammad Ibrahim Mir강원경기수학회 · 한국수학논문집2021 · 제29권 제4호Generalization of Some Inequalities to the Class of Generalized DerivativeIrfan Ahmad Wani, Ishfaq Nazir, Mohammad Ibrahim Mir한국수학교육학회 · 이론수학과 교직수학2021 · 제28권 제4호

이 간행물의 다른 논문 (19건)

A Note on S-Noetherian Domains임정욱pp. 507-514Characterization of Additive (m,n)-SemihyperringsBijan Davvaz, Saeed Mirvakilipp. 515-530Weyl Type Theorems for Unbounded Hyponormal OperatorsKaruna Mamtani, Anuradha Guptapp. 531-540Quasi-Normal Relations - a New Class of RelationsDaniel Abraham Romanopp. 541-548Pointless Form of Rough SetsAbolghasem Karimi Feizabadi, Ali Akbar Estaji, Mostafa Abedipp. 549-562
원문 보기