Note On Jakimovski-Leviatan Operators Preserving e –x  | Zendy

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Note On Jakimovski-Leviatan Operators Preserving e ^–x

Author(s) -

Ecem Acar,

Aydın İZGİ,

Sevilay Kırcı Serenbay

Publication year - 2019

Publication title -

applied mathematics and nonlinear sciences

Language(s) - English

Resource type - Journals

ISSN - 2444-8656

DOI - 10.2478/amns.2019.2.00051

Subject(s) - convergence (economics) , mathematics , constant (computer programming) , operator theory , order (exchange) , pure mathematics , constant coefficients , type (biology) , discrete mathematics , mathematical analysis , computer science , finance , economics , programming language , economic growth , ecology , biology

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.

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