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Remark on Some Recent Inequalities of a Polynomial and its Derivatives

Barchand Chanam|Khangembam Babina Devi|Thangjam Birkramjit Singh
경북대학교 자연과학대학 수학과|2022.09|Kyungpook Mathematical Journal|제62권 제3호|pp. 455-465|DOI https://doi.org/10.5666/KMJ.2022.62.3.455

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inequalitypolynomialss-fold zerointegral extension
주제분류수학

초록

We point out a flaw in a result proved by Singh and Shah [Kyungpook Math. J., 57(2017), 537-543] which was recently published in Kyungpook Mathematical Journal. Further, we point out an error in another result of the same paper which we correct and obtain integral extension of the corrected form.

Abstract

We point out a flaw in a result proved by Singh and Shah [Kyungpook Math. J., 57(2017), 537-543] which was recently published in Kyungpook Mathematical Journal. Further, we point out an error in another result of the same paper which we correct and obtain integral extension of the corrected form.

참고문헌 (14)

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  3. S. Bernstein, "Lecons sur les propriétés extrémales et la meilleure approximation des-fonctions analytiques d’une variable réelle" (1926), Gauthier Villars
  4. T. N. Chan, "On Erdös-Lax Theorem", Proc. Indian Acad. Sci. Math. Sci, 92(3), pp.191~193 (1983)
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  6. R. B. Gardner, "Rate of growth of polynomials not vanishing inside a circle", J. Inequal. Pure Appl. Math, 6(2), pp.1~9 (2005)
  7. P. D. Lax, "Proof of a conjecture of P. Erdös 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. S. Pukhta, "On extremal properties and location of zeros of polynomials", Ph.D, pp.2002
  10. M. A. Qazi, "On the maximum modulus of polynomials", Proc. Amer. Math. Soc, 115, pp.337~343 (1992)
  11. M. A. Qazi, "Remarks on some recent results about polynomials with restricted zeros", Ann. Univ. Mariae Curie-Sklodowska Sect. A, 67, pp.59~64 (2013)
  12. W. Rudin, "Real and Complex Analysis" (1977), Tata Mcgraw-Hill Publishing Company
  13. Gulshan Singh, "Some Inequalities for Derivatives of Polynomials", Kyungpook Mathematical Journal, 57(4), pp.537~543 (2017), 경북대학교 자연과학대학 수학과
  14. A. E. Taylor, "Introduction to Functional Analysis" (1958), John Wiley and Sons, Inc

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 제2호LP−TYPE INEQUALITIES FOR DERIVATIVE OF A POLYNOMIALIrfan Ahmad Wani, Ishfaq Nazir, Mohammad Ibrahim Mir강원경기수학회 · 한국수학논문집2021 · 제29권 제4호Inequalities for a Polynomial and its DerivativeMohammad Syed Pukhta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제3호Inequalities for the derivative of polynomials with restricted zerosA. Iqbal, Ishfaq Dar, N. A. Rather강원경기수학회 · 한국수학논문집2020 · 제28권 제4호

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