Markov and Bernstein type inequalities for polynomials.
Govil, N.K., Mohapatra, R.N. (1999)
Journal of Inequalities and Applications [electronic only]
Similarity:
Displaying similar documents to “Schur-type inequalities for complex polynomials with no zeros in the unit disk.”
Markov and Bernstein type inequalities for polynomials.
A pointwise approximation theorem for linear combinations of Bernstein polynomials.
Guo, Shunsheng, Yue, Shujie, Li, Cuixiang, Yang, Ge, Sun, Yiguo (1996)
Abstract and Applied Analysis
Similarity:
-Bernstein polynomials associated with -Stirling numbers and Carlitz's -Bernoulli numbers.
Kim, T., Choi, J., Kim, Y.H. (2010)
Abstract and Applied Analysis
Similarity:
On the Degre of L1-aproximation by Modified Bernstein Polynomials
Suresh Prasad Singh, O.P. Varshney, Govind Prasad (1983)
Publications de l'Institut Mathématique
Similarity:
A new generating function of (-) Bernstein-type polynomials and their interpolation function.
Simsek, Yilmaz, Açıkgöz, Mehmet (2010)
Abstract and Applied Analysis
Similarity:
Convexity and variation diminishing property for Bernstein polynomials in higher dimensions
Marek Beśka (1989)
Banach Center Publications
Similarity:
A de Casteljau algorithm for -Bernstein-Stancu polynomials.
Nowak, Grzegorz (2011)
Abstract and Applied Analysis
Similarity:
A note on the modified -Bernstein polynomials.
Kim, Taekyun, Jang, Lee-Chae, Yi, Heungsu (2010)
Discrete Dynamics in Nature and Society
Similarity:
Weighted inequalities for classical and semiclassical weights.
Jung, H.S., Kwon, K.H., Lee, D.W. (1997)
Journal of Inequalities and Applications [electronic only]
Similarity:
Jacobi-weighted orthogonal polynomials on triangular domains.
Rababah, A., Alqudah, M. (2005)
Journal of Applied Mathematics
Similarity:
The Lower Estimate for Bernstein Operator
Gal, Sorin G., Tachev, Gancho T. (2013)
Mathematica Balkanica New Series
Similarity:
MSC 2010: 41A10, 41A15, 41A25, 41A36 For functions belonging to the classes C2[0; 1] and C3[0; 1], we establish the lower estimate with an explicit constant in approximation by Bernstein polynomials in terms of the second order Ditzian-Totik modulus of smoothness. Several applications to some concrete examples of functions are presented.
Remarks on some recent results about polynomials with restricted zeros
M. A. Qazi (2013)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
Similarity:
We point out certain flaws in two papers published in Ann. Univ. Mariae Curie-Skłodowska Sect. A, one in 2009 and the other in 2011. We discuss in detail the validity of the results in the two papers in question.
Estimates for polynomials in the unit disk with varying constant terms
Stephan Ruscheweyh, Magdalena Wołoszkiewicz (2011)
Annales UMCS, Mathematica
Similarity:
Let || · || be the uniform norm in the unit disk. We study the quantities Mn (α) := inf (||zP(z) + α|| - α) where the infimum is taken over all polynomials P of degree n - 1 with ||P(z)|| = 1 and α > 0. In a recent paper by Fournier, Letac and Ruscheweyh (Math. Nachrichten 283 (2010), 193-199) it was shown that infα>0Mn (α) = 1/n. We find the exact values of Mn (α) and determine corresponding extremal polynomials. The method applied uses known cases of maximal ranges of polynomials. ...