Markov and Bernstein inequalities in for some weighted algebraic and trigonometric polynomials | Zendy

Theodore Kilgore | Zendy

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Markov and Bernstein inequalities in for some weighted algebraic and trigonometric polynomials

Author(s) -

Theodore Kilgore

Publication year - 2005

Publication title -

journal of inequalities and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.735

H-Index - 50

eISSN - 1029-242X

pISSN - 1025-5834

DOI - 10.1155/jia.2005.413

Subject(s) - mathematics , trigonometry , bernstein inequalities , degree (music) , pure mathematics , bernstein polynomial , trigonometric polynomial , algebraic number , markov chain , difference polynomials , inequality , discrete orthogonal polynomials , algebra over a field , orthogonal polynomials , mathematical analysis , statistics , physics , acoustics

Bernstein inequalities are given for polynomials of degree at most Open image in new window (where Open image in new window ), weighted by Open image in new window , in Open image in new window norms on Open image in new window , and also in related spaces of weighted trigonometric polynomials. Also, Bernstein and Markov inequalities valid on Open image in new window are derived for polynomials of degree Open image in new window weighted by Open image in new window .

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