Note On Jakimovski-Leviatan Operators Preserving e–x

Abstract

In the present article, a modification of Jakimovski-Leviatan operators is presented which reproduce constant and e–x functions. We prove uniform convergence order of a quantitative estimate for the modified operators. We also give a quantitative Voronovskya type theorem.

Keywords

• jakimovski-leviatan operators
• exponential functions
• quantitative asymptotic formula
• uniform convergence
• voronovskya type theorem
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