Results 11 to 20 of about 11,980 (190)
Coefficient Estimation Utilizing the Faber Polynomial for a Subfamily of Bi-Univalent Functions
Axioms, 2023 The paper introduces a new family of analytic bi-univalent functions that are injective and possess analytic inverses, by employing a q-analogue of the derivative operator.
Abdullah Alsoboh +5 more
doaj +1 more source
The Faber Polynomials for Annular Sectors [PDF]
Mathematics of Computation, 1995 A conformal mapping of the exterior of the unit circle to the exterior of a region of the complex plane determines the Faber polynomials for that region. These polynomials are of interest in providing near-optimal polynomial approximations in a variety of contexts, including the construction of semiiterative methods for linear equations.
Coleman, John P., Myers, Nick J.
openaire +2 more sources
Properties and Examples of Faber–Walsh Polynomials [PDF]
Computational Methods and Function Theory, 2016 The Faber--Walsh polynomials are a direct generalization of the (classical) Faber polynomials from simply connected sets to sets with several simply connected components. In this paper we derive new properties of the Faber--Walsh polynomials, where we focus on results of interest in numerical linear algebra, and on the relation between the Faber--Walsh
Sète, Olivier, Liesen, Jörg
openaire +3 more sources
Journal of Function Spaces, 2021 In our present investigation, by applying q-calculus operator theory, we define some new subclasses of m-fold symmetric analytic and bi-univalent functions in the open unit disk U=z∈ℂ ...
Zeya Jia +4 more
doaj +1 more source
Mathematics, 2022 A new subclass of bi-close-to-convex functions associated with the generalized hypergeometric functions defined in ∆={z∈C:|z|
Jie Zhai, Rekha Srivastava, Jin-Lin Liu
doaj +1 more source
Approximation in Smirnov-Orlicz classes [PDF]
, 2005 We use the approximation properties of the Faber polynomials to obtain some direct theorems of the polynomial approximation in Smirnov-Orlicz ...
Burcin Oktay +2 more
core +1 more source
Journal of Mathematics, 2021 In the present paper, the authors implement the two analytic functions with its positive real part in the open unit disk. New types of polynomials are introduced, and by using these polynomials with the Faber polynomial expansion, a formula is structured
Hameed Ur Rehman +2 more
doaj +1 more source
Axioms, 2023 By utilizing the concept of the q-fractional derivative operator and bi-close-to-convex functions, we define a new subclass of A, where the class A contains normalized analytic functions in the open unit disk E and is invariant or symmetric under ...
Hari Mohan Srivastava +5 more
doaj +1 more source
Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices [PDF]
, 2018 We derive a priori residual-type bounds for the Arnoldi approximation of a matrix function and a strategy for setting the iteration accuracies in the inexact Arnoldi approximation of matrix functions.
Pozza, Stefano, Simoncini, Valeria
core +2 more sources
Boundedness of Lebesgue Constants and Interpolating Faber Bases
Наукові вісті Національного технічного університету України "Київський політехнічний інститут", 2017 Background. We investigate the relationship between the boundedness of Lebesgue constants for the Lagrange polynomial interpolation on a compact subset of \[\mathbb R\] and the existence of a Faber basis in the space of continuous functions on this ...
Viktoriia V. Bilet +2 more
doaj +1 more source