Local approximation by Beta operators
Abbreviated Journal Title
Nonlinear Anal.-Theory Methods Appl.
approximation by positive operators; rate of convergence; degree of; approximation; functions of bounded variation; total variation; asymptotic expansions; Mathematics, Applied; Mathematics
The present paper deals with the Beta approximation operators. We obtain an estimate on the rate of convergence for functions of bounded variation by means of the decomposition technique. Furthermore we derive the complete asymptotic expansion of the sequence ((L(n)f)(x))(&INFIN;)(n=1) for smooth functions as n tends to infinity. © 2005 Elsevier Ltd. All rights reserved.
Nonlinear Analysis-Theory Methods & Applications
"Local approximation by Beta operators" (2005). Faculty Bibliography 2000s. 4935.