Open AccessPositive Interpolation Operators with Exponential-Type Weights
Author(s) -
Hee Sun Jung,
Ryozi Sakai
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/421328
Subject(s) - mathematics , interpolation (computer graphics) , combinatorics , scalable vector graphics , exponential function , arithmetic , mathematical analysis , computer science , computer graphics (images) , operating system , animation
We consider positive operators on the real line with property of interpolation, and we show the weighted -convergence of the operators. We will construct an analogical operator of one which is studied by Knopfmacher (1986). Furthermore, we treat the Shepard-type interpolatory operator (cf. Xie et al. (1998))
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom