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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.

On Conjugate pi-variation and the Coefficients of Power Series

J.L. Geluk (1989)

Publications de l'Institut Mathématique

On Cramér's theorem for general Euler products with functional equation.

Serge Lang, Jay Jorgenson (1993)

Mathematische Annalen

On Discrete and Continous Norms in Paley-Wiener Spaces and Consequences for Exponential Frames.

Jürgen J. Voss (1999)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

On entire Dirichlet series of order (R) infinity

P. K. Jain (1971)

Matematički Vesnik

On entire functions which transform straight lines into parabolas

Hiroshi Haruki (1975)

Colloquium Mathematicae

On generators in ideals of entire functions of finite order and type on the plane.

Krivosheev, A.S., Gantsev, S.N. (2002)

Sibirskij Matematicheskij Zhurnal

On H. Weyl and H. Minkowski polynomials.

Katsnelson, Victor (2007)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

On influence of the arguments of coefficients of a power series expansion of an entire function on the growth of the maximum of its modulus.

Filevich, P.V. (2003)

Sibirskij Matematicheskij Zhurnal

On meromorphic solutions of a certain class of functional-differential equations

Fred Gross, Chung-Chun Yang (1973)

Annales Polonici Mathematici

On recurrent mod p sequences.

A. Perelli, U. Zannier (1984)

Journal für die reine und angewandte Mathematik

On Regularly Varying Functions With Applications To Functions Theory.

O.P. Juneja, G.S. Srivastava (1981)

Revista colombiana de matematicas

On Some Spaces Of Analytic Functions And Their Duality Relations.

Jairo A. Charris, Ruth S. Huerfano (1988)

Revista colombiana de matematicas

On the approximation of entire functions over Carathéodory domains

Devendra Kumar, Harvir S. Kasana (1994)

Commentationes Mathematicae Universitatis Carolinae

Let $D$ be a Carathéodory domain. For $1 \leq p \leq \infty$ , let $L^{p} (D)$ be the class of all functions $f$ holomorphic in $D$ such that ${∥ f ∥}_{D, p} = [\frac{1}{A} \int \int_{D}^{} {| f (z) |}^{p} {d x d y]}^{1 / p} < \infty$ , where $A$ is the area of $D$ . For $f \in L^{p} (D)$ , set $E_{n}^{p} (f) = inf_{t \in π_{n}} {∥ f - t ∥}_{D, p};$ $π_{n}$ consists of all polynomials of degree at most $n$ . In this paper we study the growth of an entire function in terms of approximation...

On the Auxiliary Geometric mean of Entire Functions

Satendra K. Vaish, Harvir S. Kasana (1981)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

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