On the Maximum Modulus of Polynomials

DOI10.2307/2159250zbMath0772.30006OpenAlexW4232667359MaRDI QIDQ3993766

Mohammed A. Qazi

Publication date: 13 August 1992

Full work available at URL: https://doi.org/10.2307/2159250

zbMATH Keywords

entire functions of exponential typemaximum modulus

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Polynomials and rational functions of one complex variable (30C10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (37)

Integral inequalities for polar derivative of a polynomial ⋮ New integral norm estimates of Bernstein-type inequalities for a certain class of polynomials ⋮ Characterization of local optima of polynomial modulus over a disc ⋮ Upper bound estimates for the polar derivative of a polynomial with restricted zeros ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Sharpening of Bernstein and Turán-type inequalities for polynomials ⋮ Generalizations of Bernstein-type inequalities for polynomials involving the polar derivative ⋮ Inequalities concerning the polar derivative of a polynomial ⋮ Bernstein Type Inequalities Concerning Growth of Polynomials ⋮ Unnamed Item ⋮ Unnamed Item ⋮ REFINEMENT OF SOME GENERALIZED POLYNOMIAL INEQUALITIES ⋮ Improvement and generalization of polynomial inequality of T. J. Rivlin ⋮ Sharpening of Turán type inequalities for polar derivative of a polynomial ⋮ Growth of polynomials having no zero inside a circle ⋮ Some Zygmund type \(L^q\) inequalities for polynomials. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On sharpening of a Theorem of T. J. Rivlin ⋮ Refinements of some inequalities concerning the polar derivative of a polynomial ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some \(L^p\) inequalities for polynomials ⋮ Generalizations of Bernstein and Turán-type inequalities for the polar derivative of a complex polynomial ⋮ Extensions of some polynomial inequalities to the polar derivative ⋮ A Bernstein type \(L^p\) inequality for a certain class of polynomials ⋮ Inequalities concerning the \(L^p\)-norm of a polynomial ⋮ Some results concerning growth of polynomials ⋮ Generalizations of Zygmund-type integral inequalities for the polar derivative of a complex polynomial ⋮ Bernstein-type integral inequalities for a certain class of polynomials ⋮ \(L^p\) inequalities for polynomials ⋮ Growth of polynomials not vanishing inside a circle ⋮ Retracted: Growth of polynomials with prescribed zeros. II ⋮ Integral norm estimates for the polar derivative of Lacunary-type complex polynomials

Cites Work

• Unnamed Item
• Extension of a theorem of Laguerre to entire functions of exponential type
• The location of the zeros of the derivative of a rational function revisited
• On the Maximum Modulus of Polynomials
• A Theorem of Grace on the Zeros of Polynomials, Revisited
• Functions of Exponential Type Not Vanishing in a Half-Plane and Related Polynomials
• Some properties of functions of exponential type
• On the maximum modulus of polynomials
• Differential inequalities and local valency
• On the derivative of a polynomial

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