Convergence estimates of a family of approximation operators of exponential type
Keyword(s):
The main object of this article is to consider a family of approximation operators of exponential type, which has presumably not been studied earlier due mainly to their seemingly complicated behavior. We estimate and establish a quantitative asymptotic formula in terms of the modulus of continuity with exponential growth, a Korovkin-type result for exponential functions and also a Voronovskaja-type asymptotic formula in the simultaneous approximation.
2017 ◽
Vol 101
(115)
◽
pp. 247-259
◽
2019 ◽
Vol 12
(4)
◽
pp. 1508-1523
◽
2007 ◽
Vol 75
(3)
◽
pp. 409-415
◽