On a Global Descent Method for Polynomials.
Stephan Ruscheweyh (1984)
Numerische Mathematik
Xinzhong Huang (2014)
Annales Polonici Mathematici
We give a Hölder type estimate for normalized ρ-quasisymmetric functions, improving some results of J. Zając.
H.S. Al-Amiri, Maxwell O. Reade (1975)
Monatshefte für Mathematik
Hiroshi Haruki (1972)
Colloquium Mathematicae
K. S. Padmanabhan, R. Parvatham, S. Radha (1988)
Annales Polonici Mathematici
Dariusz Partyka (2011)
Annales UMCS, Mathematica
Given a quasisymmetric automorphism γ of the unit circle T we define and study a modification Pγ of the classical Poisson integral operator in the case of the unit disk D. The modification is done by means of the generalized Fourier coefficients of γ. For a Lebesgue's integrable complex-valued function f on T, Pγ[f] is a complex-valued harmonic function in D and it coincides with the classical Poisson integral of f provided γ is the identity mapping on T. Our considerations are motivated by the...
Waggas Galib Atshan, Abbas Kareem Wanas (2013)
Matematički Vesnik
Shigeyoshi Owa (1984)
Publications de l'Institut Mathématique
Owa, Shigeyoshi (1984)
Publications de l'Institut Mathématique. Nouvelle Série
Cz. Bucka, K. Ciozda (1973)
Annales Polonici Mathematici
Brakalova, Melkana A., Jenkins, James A. (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
Alexander Vasilev (2004)
Publications de l'Institut Mathématique
Oros, Georgia Irina (2002)
General Mathematics
Dryanov, D., Rahman, Q.I. (1999)
Journal of Inequalities and Applications [electronic only]
James A. Jenkins (1973/1974)
Mathematische Zeitschrift
Kuznetsov, Alexander (2004)
Lobachevskii Journal of Mathematics
M. A. Qazi (2014)
Bulletin of the Polish Academy of Sciences. Mathematics
In this paper, a generalization of a result on the uniform best approximation of α cos nx + β sin nx by trigonometric polynomials of degree less than n is considered and its relationship with a well-known polynomial inequality of C. Visser is indicated.
Kazantsev, Andrei V. (2001)
Lobachevskii Journal of Mathematics
Richard Fournier (1995)
Banach Center Publications
The problem of estimating the radius of starlikeness of various classes of close-to-convex functions has attracted a certain number of mathematicians involved in geometric function theory ([7], volume 2, chapter 13). Lewandowski [11] has shown that normalized close-to-convex functions are starlike in the disc . Krzyż [10] gave an example of a function , non-starlike in the unit disc , and belonging to the class H = f | f’() lies in the right half-plane. More generally let H* = f | f’() lies in...
Khuskivadze, G., Paatashvili, V. (2001)
Georgian Mathematical Journal