$L^{\gamma}$ INEQUALITIES CONCERNING POLYNOMIALS

Krishnadas, Kshetrimayum; Chanam, Barchand

doi:10.12732/ijam.v34i5.7

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2023

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“…Remark 2.9. From the fact that D ≤ t r,1 , Corollary 2.3 is an improvement of inequality (17) proved by Aziz and Rather [4,Corollary 4].…”

Section: Following Similar Argument As Above and Noting The Fact Of I...mentioning

confidence: 94%

Lγ Inequalities for the Polar Derivative of Polynomials

Singh,

Reingachan,

Devi

et al. 2023

MJMS

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In this paper, firstly, we obtain an inequality in Lγ analogue concerning the polar derivative for a polynomial p(ξ) = Xm ν=0 cνξν of degree m having no zero in |ξ| < r, r ≥ 1 proved by Govil et al. [15]. Secondly, we also prove Lγ version for the polar derivative of an ordinary inequality for a polynomial having all its zeros in |ξ| ≤ r, r ≤ 1 proved in that same paper. Our results generalize and improve some known inequalities.

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“…Remark 2.9. From the fact that D ≤ t r,1 , Corollary 2.3 is an improvement of inequality (17) proved by Aziz and Rather [4,Corollary 4].…”

Section: Following Similar Argument As Above and Noting The Fact Of I...mentioning

confidence: 94%