On an Operator Preserving Inequalities between Polynomials | Zendy

N. A. Rather | Zendy; Mushtaq Ahmad Shah | Zendy; Mohd. Ibrahim Mir | Zendy

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On an Operator Preserving Inequalities between Polynomials

Author(s) -

N. A. Rather,

Mushtaq Ahmad Shah,

Mohd. Ibrahim Mir

Publication year - 2012

Publication title -

applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2152-7393

pISSN - 2152-7385

DOI - 10.4236/am.2012.36085

Subject(s) - mathematics , operator (biology) , degree (music) , class (philosophy) , difference polynomials , classical orthogonal polynomials , pure mathematics , hahn polynomials , delta operator , orthogonal polynomials , algebra over a field , discrete mathematics , shift operator , gegenbauer polynomials , compact operator , computer science , extension (predicate logic) , physics , artificial intelligence , biochemistry , chemistry , repressor , transcription factor , acoustics , gene , programming language

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

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