Search
Search Results
-
On the zeros of a quaternionic polynomial: An extension of the Eneström-Kakeya theorem
We present some results on the location of zeros of regular polynomials of a quaternionic variable. We derive new bounds of Eneström-Kakeya type for...
-
Mean Approximation by Dilatations in Bergman Spaces on the Upper Half-Plane
We study sufficient conditions on radial and non-radial weight functions on the upper half-plane that guarantee norm approximation of functions in...
-
Multivariate form of Hermite sampling series
In this paper, we establish a new multivariate Hermite sampling series involving samples from the function itself and its mixed and non-mixed partial...
-
Matching pursuit with unbounded parameter domains
In various applications, the adoption of optimal energy matching pursuit with dictionary elements is common. When the dictionary elements are indexed...
-
Optimal Recovery of a Derivative of an Analytic Function from Values of the Function Given with an Error on a Part of the Boundary. II
We continue the study of several related extremal problems for functions analytic in a simply connected domain G with a rectifiable Jordan boundary...
-
Chebyshev polynomials on circular arcs
In this paper, we give an explicit representation of the complex Chebyshev polynomials on a given arc of the unit circle (in the complex plane) in...
-
On the Augmented Biot-JKD Equations with Pole-Residue Representation of the Dynamic Tortuosity
In this paper, we derive the augmented Biot-JKD equations, where the memory terms in the original Biot-JKD equations are dealt with by introducing...
-
Generalized Popoviciu Expansions for Bernstein Polynomials of a Rational Module
We study Bernstein polynomials for simple nonsmooth rational module functions. We show that these polynomials can be represented as special sums of...
-
Approximation by Durrmeyer Type Bernstein–Stancu Polynomials in Movable Compact Disks
In the present paper, we introduce a kind of complex Durrmeyer type Bernstein–Stancu polynomials in movable disks. Approximation properties by the...
-
Approximation and Geometric Properties of Complex \(\alpha \)-Bernstein Operator
In this paper, we consider the complex form of a new generalization of the Bernstein operator, depending on a non-negative real parameter. We obtain...
-
How to solve an equation with a Toeplitz operator?
An equation with a Hardy space Toeplitz operator can be solved by Wiener–Hopf factorization. However, Wiener–Hopf factorization does not work for...
-
Direct and inverse results on row sequences of generalized Padé approximants to polynomial expansions
Starting from the orthogonal and Faber polynomial expansions of a function F , we study the asymptotic behaviors of two generalized Padé...
-
Optimal Recovery of a Derivative of an Analytic Function from Values of the Function Given with an Error on a Part of the Boundary
We study several related extremal problems for functions analytic in a simply connected domain G with a rectifiable Jordan boundary Γ, in particular,...
-
On the Fundamental Theorem of \(\varvec{(p,q)}\)-Calculus and Some \(\varvec{(p,q)}\)-Taylor Formulas
In this paper, the ( p , q )-derivative and the ( p , q )-integration are investigated. Two suitable polynomial bases for the ( p , q )-derivative are...
-
\(C^\infty \)-Convergence of Conformal Map**s for Conformally Equivalent Triangular Lattices
Two triangle meshes are conformally equivalent if for any pair of incident triangles the absolute values of the corresponding cross-ratios of the...
-
On Approximation by Stancu Type Bernstein–Schurer Polynomials in Compact Disks
In the present paper, we introduce Stancu type Bernstein–Schurer polynomials and their Kantorovich variants. The exact order of simultaneous...
-
Approximation by rational functions in Smirnov classes with variable exponent
In this article, we investigate the direct problem of approximation theory in the variable exponent Smirnov classes of analytic functions, defined on...
-
On Approximation by Bernstein–Stancu Polynomials in Movable Compact Disks
In the present paper, we introduce two kinds of complex Bernstein–Stancu polynomials and complex Kantorovich–Stancu polynomials in movable compact...