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In this paper, we consider an operator $N : \mathcal{P}_n\rightarrow \mathcal{P}_n$ on the space of polynomials $\mathcal{P}_n$ of degree at most $n$ and establish some compact generalizations of Bernstein-type polynomial inequalities, which include several well known polynomial inequalities as special cases.
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참고문헌 (15)
참고문헌 신청
N. C. Ankeny / 1995 / On a theorem of S. Bernstein / Pacific J. Math 5:849~852
A. Aziz / 2004 / Some compact generalizations of Bernstien-type inequalities for polynomials / Math. Inequal. Appl 7(3):393~403
S. N. Bernstein / 1912 / Sur. lordre de la meilleure appromation des functions continues par des Poly-nomes de degree donne / Mem. Acad. Roy. Belgique 12(4):1~103
S. N. Bernstein / 1952 / On the best approximation of continuous functions by polynomials of given degree (O nailuchshem problizhenii nepreryvnykh funktsii posredstrvom mnogochlenov dannoi stepeni) / Sobraniye sochinenii 1:11~104
J. P. Kahane / 1985 / Some Random Series of Functions / Cambridge University Press
A. Aziz / 2004 / Some compact generalizations of Bernstien-type inequalities for polynomials / Math. Inequal. Appl 7(3):393~403
S. N. Bernstein / 1912 / Sur. lordre de la meilleure appromation des functions continues par des Poly-nomes de degree donne / Mem. Acad. Roy. Belgique 12(4):1~103
S. N. Bernstein / 1952 / On the best approximation of continuous functions by polynomials of given degree (O nailuchshem problizhenii nepreryvnykh funktsii posredstrvom mnogochlenov dannoi stepeni) / Sobraniye sochinenii 1:11~104
J. P. Kahane / 1985 / Some Random Series of Functions / Cambridge University Press
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