On Approximation Properties of Two Variables of Modified Kantorovich-Type Operators | Zendy

Müzeyyen Özhavzalı | Zendy; Ali Olgun | Zendy

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On Approximation Properties of Two Variables of Modified Kantorovich-Type Operators

Author(s) -

Müzeyyen Özhavzalı,

Ali Olgun

Publication year - 2018

Publication title -

communications faculty of science university of ankara series a1mathematics and statistics

Language(s) - English

Resource type - Journals

ISSN - 1303-5991

DOI - 10.31801/cfsuasmas.443703

Subject(s) - mathematics , modulus of continuity , operator theory , spectral theorem , type (biology) , degree (music) , polynomial , pure mathematics , operator norm , baskakov operator , algebra over a field , microlocal analysis , mathematical analysis , fourier integral operator , ecology , physics , acoustics , biology

In the present paper, we introduce certain modification of Szasz-Mirakyan-Kantorovich-type operators in polynomial weighted spaces of continuous functions of two variables. Then we research some approximation properties of these operators. We give some inequalities for the operators by means of the weighted modulus of continuity and also obtain a Voronovskaya-type theorem. Furthermore, in the paper we show that our operators give better degree of approximation of functions belonging to weighted spaces than classical Szasz-Mirakyan operators.

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