References
- T. Erdelyi, Bernstein and Markov type inequalities for generalized non-negative polynomials, Canad. J. Math. 43(1991), 495-505. https://doi.org/10.4153/CJM-1991-030-3
- T. Erdelyi, Remez-type inequalities on the size of generalized non-negative polynomials, J. Lond. Math. Soc. 45(1992), 255-264. https://doi.org/10.1112/jlms/s2-45.2.255
- T. Erdelyi, A. Mate, and P. Nevai, Inequalities for generalized nonnegative polynomials, Constr. Approx. 8(1992), 241-255. https://doi.org/10.1007/BF01238273
- T. Erdelyi and P. Nevai, Generalized Jacobi weights, Christoffel functions and zeros of orthogonal polynomials, J. Approx. Theory 69(1992), 111-132. https://doi.org/10.1016/0021-9045(92)90136-C
- G. Freud, On Markov-Bernstein type inequalities and their applications, J. Approx. Theory 19(1977), 22-37. https://doi.org/10.1016/0021-9045(77)90026-0
- H. Joung, Estimates of Christoffel functions for generalized polynomils with exponential weights, Commun. Korean Math. Soc. 14(1)(1999), 121-134.
- H. Joung, Infinite finite range inequalities, Korean J. Math. 18(1)(2010), 63-77.
-
A. L. Levin and D. S. Lubinsky, Canonical products and the weights exp
${{\mid}x{\mid}}^\alpha$ ),$\alpha$ > 1, with applications, J. Approx. Theory 49(1987), 149-169. https://doi.org/10.1016/0021-9045(87)90085-2 - H. N. Mhaskar and E. B. Saff, Where does the Sup Norm of a Weighted Polynomial Live?, Constr. Approx. 1(1985), 71-91. https://doi.org/10.1007/BF01890023
-
P. Nevai, Bernstein's inequality in
$L_p$ for 0 < p < 1, J. Approx. Theory. 27(1979), 239-243. https://doi.org/10.1016/0021-9045(79)90105-9 - P. Nevai, Geza Freud. Orthogonal Polynomials and Christoffel Functions. A Case Study, J. Approx. Theory. 48(1986), 3-167. https://doi.org/10.1016/0021-9045(86)90016-X
- P. Nevai, Orthogonal polynomials, Mem. Amer. Math. Soc. 213, 1979.
-
P. Nevai, Polynomials orthonormal on the real line with weight
${{\mid}x{\mid}}^\alpha$ exp(-${{\mid}x{\mid}}^\beta$ ), I, Acta Math. Hungar. 24(1973), 407-416. https://doi.org/10.1007/BF01958054