Integral inequalities for the growth and higher derivative of polynomials
Author:
Affiliation:
1. Department of Mathematics, University of Kashmir, Srinagar, India
Publisher
National Academy of Sciences of the Republic of Armenia
Reference16 articles.
1. N. C. Ankeny and T. J. Rivlin, “On a theorem of S. Bernstein”, Pacific J. Math., 5, 849 – 852 (1995).
2. V. V. Arestov, “On integral inequalities for trigonometric polynomials and their derivatives”, Izv. Akad. Nauk SSSR Ser. Mat., 45, 3 – 22 (1981) [in Russian], English translatioin; Math. USSR-Izv., 18, 1 – 17 (1982).
3. A. Aziz and N. A. Rather, “Some new generalizations of Zygmund-type inequalities for polynomials”, Math. Ineq. Appl., 15, 469 – 486 (2012).
4. S. Bernstein, “Sur l’ordre de la meilleure approximation des functions continues par des polynˆomes de degr`e donn`e”, Mem. Acad. R. Belg., 4, 1 – 103 (1912).
5. R. P. Boas jr., Q. I. Rahman, “Lp inequalities for polynomials and entire functions”, Arch. Ration. Mech. Anal., 11, 34 – 39 (1962).
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