Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2016, Cilt: 4 Sayı: 2, 110 - 120, 30.10.2016
https://doi.org/10.36753/mathenot.421464

Öz

Kaynakça

  • [1] A. Mir and B. Dar., Some inequalities concerning the polar derivative of a polynomial-II, Anal. Theory Appl., 29 (2013), 384-389.
  • [2] A. Aziz and Q. M. Dawood., Inequalities for a polynomial and its derivative, J. Approx. Theory, 54 (1988), 306-313.
  • [3] A. Aziz and N. A. Rather., Some Zygmund type Lq−inequalities for polynomials, J. Math. Anal. Appl., 289 (2004), 14-29.
  • [4] A.Aziz and N.A.Rather., Inequalities for the polar derivative of a polynomial with restricted zeros, Math. Balk., 17 (2003), 15-28.
  • [5] A. Aziz and N. A. Rather., A refinement of a theorem of Paul Turan concerning polynomials, Math. Ineq. Appl., 1(1998), 231-238.
  • [6] A. Aziz and W. M. Shah., An integral mean estimate for polynomials, Indian J. Pure Appl. Math., 28 (1997), 1413-1419.
  • [7] S. Bernstein., Lecons Sur Les Proprietes extremals et la meilleure approximation des fonctions analytiques d’une fonctions reelle, Gauthier-villars (Paris 1926).
  • [8] K. K. Dewan, N. Singh and R. Lal., Inequalities for the polar derivative of a polynomial, Int. J. Pure. Appl. Math., 33 (2006), 109-117.
  • [9] K. K. Dewan, N. Singh and A. Mir., Extensions of some polynomial inequalities to the polar derivative, J. Math. Anal. Appl., 352 (2009), 807-815.
  • [10] K. K. Dewan, A. Mir and R. S. Yadav., Integral mean estimates for polynomials whose zeros are with in a circle, IJMMS, 4 (2001), 231-235.
  • [11] K. K. Dewan, N. Singh, A. Mir and A. Bhat., Some inequalities for the polar derivative of a polynomial, Southeast Asain Bull. Math., 34 (2010), 69-77.
  • [12] N. K. Govil., Some inequalities for derivative of polynomials, J.Approx. Theory, 66 (1991), 29-35.
  • [13] N. K. Govil, Q. I. Rahman and G. Schemeisser., On the derivative of a polynomial, Illinois J. Math., 23 (1979), 319-330.
  • [14] E. Hille, Ananlytic function theory, Vol II, Ginn and Company, New York, Toranto, 1962.
  • [15] M. A. Malik., On the derivative of a polynomial, J. London Math. Soc., 1 (1969), 57-60.
  • [16] M. Riesz., Eine trigonometrische interpolationsformel und einige Ungleichungen für Polynome, Jahresbericht der Deutschen Mathematiker-Vereinigung, 23 (1914), 354-368.
  • [17] P. Turán., Über die ableitung von polynomen, Compositio Math., 7 (1939), 89-95.

On Polynomials and Their Polar Derivative

Yıl 2016, Cilt: 4 Sayı: 2, 110 - 120, 30.10.2016
https://doi.org/10.36753/mathenot.421464

Öz


Kaynakça

  • [1] A. Mir and B. Dar., Some inequalities concerning the polar derivative of a polynomial-II, Anal. Theory Appl., 29 (2013), 384-389.
  • [2] A. Aziz and Q. M. Dawood., Inequalities for a polynomial and its derivative, J. Approx. Theory, 54 (1988), 306-313.
  • [3] A. Aziz and N. A. Rather., Some Zygmund type Lq−inequalities for polynomials, J. Math. Anal. Appl., 289 (2004), 14-29.
  • [4] A.Aziz and N.A.Rather., Inequalities for the polar derivative of a polynomial with restricted zeros, Math. Balk., 17 (2003), 15-28.
  • [5] A. Aziz and N. A. Rather., A refinement of a theorem of Paul Turan concerning polynomials, Math. Ineq. Appl., 1(1998), 231-238.
  • [6] A. Aziz and W. M. Shah., An integral mean estimate for polynomials, Indian J. Pure Appl. Math., 28 (1997), 1413-1419.
  • [7] S. Bernstein., Lecons Sur Les Proprietes extremals et la meilleure approximation des fonctions analytiques d’une fonctions reelle, Gauthier-villars (Paris 1926).
  • [8] K. K. Dewan, N. Singh and R. Lal., Inequalities for the polar derivative of a polynomial, Int. J. Pure. Appl. Math., 33 (2006), 109-117.
  • [9] K. K. Dewan, N. Singh and A. Mir., Extensions of some polynomial inequalities to the polar derivative, J. Math. Anal. Appl., 352 (2009), 807-815.
  • [10] K. K. Dewan, A. Mir and R. S. Yadav., Integral mean estimates for polynomials whose zeros are with in a circle, IJMMS, 4 (2001), 231-235.
  • [11] K. K. Dewan, N. Singh, A. Mir and A. Bhat., Some inequalities for the polar derivative of a polynomial, Southeast Asain Bull. Math., 34 (2010), 69-77.
  • [12] N. K. Govil., Some inequalities for derivative of polynomials, J.Approx. Theory, 66 (1991), 29-35.
  • [13] N. K. Govil, Q. I. Rahman and G. Schemeisser., On the derivative of a polynomial, Illinois J. Math., 23 (1979), 319-330.
  • [14] E. Hille, Ananlytic function theory, Vol II, Ginn and Company, New York, Toranto, 1962.
  • [15] M. A. Malik., On the derivative of a polynomial, J. London Math. Soc., 1 (1969), 57-60.
  • [16] M. Riesz., Eine trigonometrische interpolationsformel und einige Ungleichungen für Polynome, Jahresbericht der Deutschen Mathematiker-Vereinigung, 23 (1914), 354-368.
  • [17] P. Turán., Über die ableitung von polynomen, Compositio Math., 7 (1939), 89-95.
Toplam 17 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Abdullah Mir Bu kişi benim

Yayımlanma Tarihi 30 Ekim 2016
Gönderilme Tarihi 4 Eylül 2015
Yayımlandığı Sayı Yıl 2016 Cilt: 4 Sayı: 2

Kaynak Göster

APA Mir, A. (2016). On Polynomials and Their Polar Derivative. Mathematical Sciences and Applications E-Notes, 4(2), 110-120. https://doi.org/10.36753/mathenot.421464
AMA Mir A. On Polynomials and Their Polar Derivative. Math. Sci. Appl. E-Notes. Ekim 2016;4(2):110-120. doi:10.36753/mathenot.421464
Chicago Mir, Abdullah. “On Polynomials and Their Polar Derivative”. Mathematical Sciences and Applications E-Notes 4, sy. 2 (Ekim 2016): 110-20. https://doi.org/10.36753/mathenot.421464.
EndNote Mir A (01 Ekim 2016) On Polynomials and Their Polar Derivative. Mathematical Sciences and Applications E-Notes 4 2 110–120.
IEEE A. Mir, “On Polynomials and Their Polar Derivative”, Math. Sci. Appl. E-Notes, c. 4, sy. 2, ss. 110–120, 2016, doi: 10.36753/mathenot.421464.
ISNAD Mir, Abdullah. “On Polynomials and Their Polar Derivative”. Mathematical Sciences and Applications E-Notes 4/2 (Ekim 2016), 110-120. https://doi.org/10.36753/mathenot.421464.
JAMA Mir A. On Polynomials and Their Polar Derivative. Math. Sci. Appl. E-Notes. 2016;4:110–120.
MLA Mir, Abdullah. “On Polynomials and Their Polar Derivative”. Mathematical Sciences and Applications E-Notes, c. 4, sy. 2, 2016, ss. 110-2, doi:10.36753/mathenot.421464.
Vancouver Mir A. On Polynomials and Their Polar Derivative. Math. Sci. Appl. E-Notes. 2016;4(2):110-2.

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