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On an Operator Preserving Inequalities between Polynomials
Post-Graduate Department of Mathematics, Kashmir University, Hazratbal, Srinagar, India
Post-Graduate Department of Mathematics, Kashmir University, Hazratbal, Srinagar, India
Post-Graduate Department of Mathematics, Kashmir University, Hazratbal, Srinagar, India
- 1 Post-Graduate Department of Mathematics, Kashmir University, Hazratbal, Srinagar, India
- 2 Post-Graduate Department of Mathematics, Kashmir University, Hazratbal, Srinagar, India
- 3 Post-Graduate Department of Mathematics, Kashmir University, Hazratbal, Srinagar, India
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Abstract
Let be the class of polynomials of degree n and a family of operators that map into itself. For , we investigate the dependence of on the maximum modulus of on for arbitrary real or complex numbers , with , and , and present certain sharp operator preserving inequalities between polynomials.
KeywordsComponent PolynomialsB-OperatorComplex Domain
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