Asymptotic behaviour of Jain operators

作者：Abel Ulrich^*; Agratini Octavian

来源：Numerical Algorithms, 2016, 71(3): 553-565.

DOI：10.1007/s11075-015-0009-3

• Approximation by positive operators
• Rate of convergence
• Degree of approximation
• Asymptotic approximations
• Asymptotic expansions

The topic of the present paper are certain approximation operators acting on the space of continous functions on [0,+infinity) having polynomial growth. The operators which were defined by Jain in 1972 are based on a probability distribution which is called generalized Poisson distribution. As a main result we derive a complete asymptotic expansion for the sequence of these operators.

• 出版日期2016-3