RATE OF CONVERGENCE OF SUMMATION-INTEGRAL TYPE OPERATORS WITH DERIVATIVES OF BOUNDED VARIATION
VIJAY
GUPTA, VIPIN VASISHTHA AND M. K. GUPTA
SCHOOL OF APPLIED SCIENCES,
NETAJI SUBHAS INSTITUTE OF TECHNOLOGY,
SECTOR 3 DWARKA, NEW DELHI-110045,
INDIA.
E-Mail: vijay@nsit.ac.in
DEPARTMENT OF MATHEMATICS,
HINDU COLLEGE,
MORADABAD -244001, INDIA.
DEPARTMENT OF MATHEMATICS,
CH. CHARAN SINGH UNIVERSITY,
MEERUT-255004, INDIA.
E-Mail: mkgupta2002@hotmail.com
Received 28 January, 2003; Accepted 29 March, 2003.
Communicated by: A. Fiorenza
|
ABSTRACT.
In the present paper, we estimate the rate of convergence of the recently
introduced generalized sequence of linear positive operators
Gn,c(f, x) with derivatives of bounded variation.
Key words:
Linear positive operators, Bounded variation, Total variation, Rate of
convergence.
2000 Mathematics Subject
Classification:
41A25, 41A30.
|
|
|