ARUN KAJLA, PURSHOTTAM NARAIN AGRAWAL

272199

Approximation properties of SzÃ¡sz type operators based on Charlier polynomials

In the present paper, we study some approximation properties of the Sz\'{a}sz type operators involving Charlier polynomials introduced by Varma and Ta\c{s}delen in 2012. First, we establish approximation in a Lipschitz type space and weighted approximation theorems for these operators. Then we obtain the error in the approximation of functions having derivatives of bounded variation.

Anahtar Kelimeler:

Sz\'{a}sz operator, Charlier polynomials, modulus of continuity, bounded variation

Approximation properties of SzÃ¡sz type operators based on Charlier polynomials

In the present paper, we study some approximation properties of the Sz\'{a}sz type operators involving Charlier polynomials introduced by Varma and Ta\c{s}delen in 2012. First, we establish approximation in a Lipschitz type space and weighted approximation theorems for these operators. Then we obtain the error in the approximation of functions having derivatives of bounded variation.

Keywords:

Sz\'{a}sz operator, Charlier polynomials, modulus of continuity, bounded variation,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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