Approximation by Jakimovski-Leviatan-Stancu-Durrmeyer type operators | Zendy

M. ‎Mursaleen | Zendy; Shagufta Rahman | Zendy; Khursheed J‎. ‎Ansari | Zendy

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Approximation by Jakimovski-Leviatan-Stancu-Durrmeyer type operators

Author(s) -

M. ‎Mursaleen,

Shagufta Rahman,

Khursheed J‎. ‎Ansari

Publication year - 2019

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1906517m

Subject(s) - mathematics , type (biology) , operator theory , baskakov operator , linear operators , function (biology) , operator norm , pure mathematics , mathematical analysis , fourier integral operator , microlocal analysis , ecology , biology , evolutionary biology , bounded function

In the present paper, we introduce Stancu type modification of Jakimovski-Leviatan-Durrmeyer operators. First, we estimate moments of these operators. Next, we study the problem of simultaneous approximation by these operators. An upper bound for the approximation to rth derivative of a function by these operators is established. Furthermore, we obtain A-statistical approximation properties of these operators with the help of universal korovkin type statistical approximation theorem.

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