Results 31 to 40 of about 16,473 (262)

About the rate of rational approximation of some analytic functions

Mathematical Modelling and Analysis, 1998
The article is devoted to results relating to the theory of rational approximation of an analytic function. Let ƒ be an analytic function on the disk {z : |z| < ñ), ñ > 1. The rate of decrease of the best approximations ñn of a function ƒ by the rational
A. YA. Radyno
doaj   +1 more source

Results on analytic functions defined by Laplace-Stieltjes transforms with perfect ϕ-type

Open Mathematics, 2020
In this paper, we introduce the concept of the perfect ϕ\phi -type to describe the growth of the maximal molecule of Laplace-Stieltjes transform by using the more general function than the usual.
Liu Simin, Xu Hongyan, Cui Yongqin, Gong Pan   +3 more
doaj   +1 more source

Approximation of Analytic Functions by Solutions of Cauchy-Euler Equation

Journal of Function Spaces, 2016
We investigate the approximation properties of a special class of twice continuously differentiable functions by solutions of the Cauchy-Euler equation.
Soon-Mo Jung
doaj   +1 more source

Extension of Dasgupta’s Technique for Higher Degree Approximation

Universitas Scientiarum, 2021
In the present paper, rational wedge functions for degree two approximation have been computed over a pentagonal discretization of the domain, by using an analytic approach which is an extension of Dasgupta’s approach for linear approximation.
P. L. Powar, Rishabh Tiwari, Vishnu Narayan Mishra   +2 more
doaj   +1 more source

Analytic approximation of matrix functions in $L^p$

Journal of Approximation Theory, 2008
We consider the problem of approximation of matrix functions of class $L^p$ on the unit circle by matrix functions analytic in the unit disk in the norm of $L^p$, $2\le ...
Baratchart, L., Nazarov, F., Peller, Vladimir, V.   +2 more
openaire   +4 more sources

On Joint Approximation of Analytic Functions by Beurling Zeta-Functions

Mathematics
For j=1,…,r, let Pj be a system of generalized prime numbers, NPj the corresponding system of generalized integers, and ζPj(s), s=σ+it, the Beurling zeta-function. In the paper, we consider simultaneous approximation of a collection of analytic functions
Andrius Geštautas, Antanas Laurinčikas, Darius Šiaučiūnas   +2 more
doaj   +1 more source

Results of the Childhood Cancer and Leukaemia Group's United Kingdom Relapsed Wilms Tumour Trial

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background The United Kingdom relapsed Wilms tumour (UKW‐R) trial aimed to improve the historically low survival rates after relapse of Wilms tumour (WT) through a prospective national risk‐stratified protocol. The trial also evaluated efficacy and toxicity of high‐dose melphalan.
Sucheta J. Vaidya, Veronica Moroz, Juliet Hale, Vesna Pavasovic, Rachel Hobson, Patricia Sartori, Daniel Saunders, Mark Powis, Gordan M. Vujanic, Stephen Baker, Kathy Pritchard‐Jones   +10 more
wiley   +1 more source

European Standard Clinical Practice Guideline and EXPeRT Recommendations for the Diagnosis and Management of Gastroenteropancreatic Neuroendocrine Neoplasms in Children and Adolescents

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen, Calogero Virgone, Antje Redlich, Michael Abele, Ricardo Lopez‐Almaraz, Tal Ben‐Ami, Ewa Bien, Gianni Bisogno, Maja Mazic Cesen, Andrea Ferrari, Malgorzata A. Krawczyk, Yves Reguerre, Dominik T. Schneider, Ines B. Brecht, Charlotte Rigaud, Bilgehan Yalcin, Rainer Claus, Christian Vokuhl, Constantin Lapa, Jörg Fuchs, Segolene Hescot, Thomas Walter, Julien Hadoux, Daniel Orbach   +23 more
wiley   +1 more source

On joint approximation of analytic functions by nonlinear shifts of zeta-functions of certain cusp forms

Nonlinear Analysis, 2020
In the paper, joint discrete universality theorems on the simultaneous approximation of a collection of analytic functions by a collection of discrete shifts of zeta-functions attached to normalized Hecke-eigen cusp forms are obtained.
Antanas Laurinčikas, Darius Šiaučiūnas, Adelė Vaiginytė   +2 more
doaj   +1 more source

Analytic approximation of rational matrix functions [PDF]

Indiana University Mathematics Journal, 2007
For a rational matrix function $ $ with poles outside the unit circle, we estimate the degree of the unique superoptimal approximation $\A $ by matrix functions analytic in the unit disk. We obtain sharp estimates in the case of $2\times2$ matrix functions. It turns out that ``generically'' $ \A \le\deg -2$.
Peller, V. V., Vasyunin, V. I.
openaire   +3 more sources