Zobrazeno 1 - 10
of 93
pro vyhledávání: '"Ambikeshwar Sharma"'
Autor:
Ambikeshwar Sharma, Marcel G. de Bruin
Publikováno v:
Computational Methods and Function Theory. 3:305-323
Hermite-Birkhoff interpolation and Pal-type interpolation have been receiving much attention over the years. Also during the previous 15 years the subject of interpolation in non-uniformly distributed nodes has been looked into. There are, however, n
Autor:
Marcel G. de Bruin, Ambikeshwar Sharma
Publikováno v:
Journal of Computational and Applied Mathematics. 133(1-2):295-303
In this paper regularity of the (0,1,…,r−2,r) Birkhoff interpolation problem (r⩾2) on the zeros of (z3n+1)(z3−1) is proved.
Publikováno v:
Numerical Algorithms. 25:47-62
We consider the regularity of Birkhoff interpolation on some non-uniformly distributed roots of unity. We determine the range of values of ξ in the complex plane which makes the problem of lacunary interpolation on the zeros of (z n +1)(z−ξ) regu
Autor:
Z. Ziegler, Ambikeshwar Sharma
Publikováno v:
Analysis. 19:1-12
Publikováno v:
Proceedings of the American Mathematical Society. 126:729-737
This paper studies the spectrum of continuous refinement operators and relates their spectral properties with the solutions of the corresponding continuous refinement equations.
Autor:
W. Chen, Ambikeshwar Sharma
Publikováno v:
Methods and Applications of Analysis. 4:239-249
Autor:
Ambikeshwar Sharma, Marcel G. de Bruin
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis. 29:477-503
Dans plusieurs articles un resultat de J. L. Walsh sur equiconvergence des polynomes d'interpolation sur les racines d'unite des fonctions analytiques est generalise par des methodes d'analyse complexe au cas d'interpolation rationnelle des fonctions
Publikováno v:
Analysis. 12:271-302
Autor:
Ambikeshwar Sharma, M. A. Bokhari
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 15, Iss 2, Pp 221-228 (1992)
The phenomenon of equiconvergence was first observed by Walsh for two sequences of polynomial interpolants to a class of functions. Here we obtain analogues of Yuanren's results for Walsh equiconvergence using rational functions as in Saff and Sharma
Autor:
Ambikeshwar Sharma, Kamen G. Ivanov
Publikováno v:
Constructive Approximation. 7:315-327
Here we study some simple properties of (l, p) distinguished points for functions in the classA p (p>1) in the context of Walsh equiconvergence. We give a condition which is necessary and sufficient for a set Z of points in C to be an (l, p) distingu