[PDF] Top 20 On the derivative and maximum modulus of a polynomial
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On the derivative and maximum modulus of a polynomial
... Govil: Department of Mathematics, Auburn University, Auburn, AL 36849-5310, USA E-mail address: [email protected] Abdullah Mir: Department of Mathematics, Jamia Millia Islamia, New[r] ... See full document
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Inequalities for the Polar Derivative of a Polynomial
... Inequalities for the Polar Derivative of a Polynomial Gulshan Singh1, Wali Mohammad Shah2, Yash Paul1 Bharathiar University Coimbatore, Tamil Nadu, India Department of Mathematics, Kashm[r] ... See full document
5
Inequalities for a polynomial and its derivative
... Inequality (.) is a famous result due to Bernstein [], whereas inequality (.) is a simple consequence of the maximum modulus principle (see []). Both the above inequalities are sharp, and an equality ... See full document
12
Polar Derivative Versions of Polynomial Inequalities
... D p z α = np z + α − z p z denote the polar derivative of the polynomial p z ( ) with respect to α . In this paper, first we extend as well as generalize the result proved by Dewan and Mir [Inter. Jour. ... See full document
11
On the maximum modulus of a polynomial and its polar derivative
... On the maximum modulus of a polynomial and its polar derivative Ahmad Zireh Correspondence: [email protected] Department of Mathematics, Shahrood University of Technology, Shahrood[r] ... See full document
9
Maximum modulus of derivatives of a polynomial
... Mir, On the maximum modulus of a polynomial and its derivatives , International Journal of Mathematics and Mathematical Sciences. Weems, Some results concerning rate of growth of polyno-[r] ... See full document
5
MAXIMUM MODULUS OF POLYNOMIALS HAVING SOME ZEROS AT ORIGIN
... a polynomial on the circle , in terms of its degree and the maximum modulus on the unit circle, we have several well known results for the case R 1 and r 1 ...the maximum modulus of ... See full document
9
An inequality for the polar derivative of a polynomial
... Abstract: In this paper, an inequality for the polar derivative of a polynomial with restricted zeros is obtained, which refines and generalizes some well known polynomial inequalities[r] ... See full document
10
On the $s^{th}$ derivative of a polynomial
... This paper presents a result which gives generalizations of some inequalities regarding the s th derivative of a polynomial having zeros outside a circle.. Besides, our result gives inte[r] ... See full document
5
Location of zeros of polar derivative of polynomial with real coefficients
... “Location Location of zeros of polar derivative of polynomial with real coefficients coefficients”, International Journal of Current Research,, 7, 11, 1 23144-23150... INTRODUCTION To es[r] ... See full document
7
Inequalities for the Polar Derivative of a Polynomial
... Mir, “Extensions of some polynomial inequalities to the polar derivative,” Journal of Mathematical Analysis and Applications, vol.. Dawood, “Inequalities for a polynomial and its derivat[r] ... See full document
9
On the Zeros of the Polar Derivative of a Polynomial
... Reddy, On the Zeros of Polar Derivatives, International Journal of Recent Research in Mathematics, Computer Science and Information Technology, Vol.2, Issue 1 April 2015- September 2015,[r] ... See full document
6
Uncertain Volatility Derivative Model Based on the Polynomial Chaos
... generalized polynomial chaos and corresponding end- boundary value problems of a parabolic equation was solved numerically in a Monte Carlo ...surrogate Polynomial Chaos (PC)/MC methods were used to compute ... See full document
9
On the maximum modulus of a polynomial and its derivative
... the polynomial G(z) = p(z) − λ mz n , has all its zeros in |z| < 1 with s-fold zeros at the origin, 0 ≤ s ≤ ...the polynomial G(z) = p(z) − λ mz n is of degree n, for |λ | < ...the polynomial ... See full document
11
A generalized inequality for the polar derivative of a polynomial
... known polynomial inequalities. Theorem Let P(z) be a polynomial of degree n that does not vanish in | z | < k, k ≤ , then for all real or complex numbers α i with | α i | ≥ k, k ≤ , i = , , ... See full document
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On the $s^{th}$ Derivative of a Polynomial-II
... Eslahchi, Sonaz Amani, The Best Uniform Polynomial Approximation of Two Classes of Rational Functions, Iranian Journal of Mathematical Sciences and Informatics , 7 , (2012), 93-102.. Rah[r] ... See full document
9
L$^q$ inequalities for the ${s^{th}}$ derivative of a polynomial
... Bernstein, Leons sur les proprietes extremales et la meilleure approximation des fonctions analytiques dune variable reelle, Gauthier Villars, Paris, 1926.. [5] N.G.[r] ... See full document
8
Reversing derivatives
... The derivative of a function is a new function and is known as the gradient function ...The derivative or gradient function gives the rate of change of the original ...a polynomial function, we can ... See full document
13
Strain Rate Effect on the Compressive Behaviour of Reinforced Cork Agglomerates
... Young’s modulus, the curve was fitted with a seven degree ...second derivative. A one degree polynomial was then calculated between = ...Young’s modulus given in this ... See full document
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Minimising weighted mean distortion : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics at Massey University, Albany, New Zealand
... Thus the critical point is a maximum — and hence once again, for an annulus of bounded modulus the minimum of r2 ηr must occur on the boundary and has nonzero derivative, showing that cr[r] ... See full document
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