Open AccessBlending type approximation by bézier-summation-integral type operators
Author(s) -
Tuncer Acar
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 - 10.1501/commua1_0000000874
Subject(s) - type (biology) , mathematics , mathematical analysis , summation by parts , ecology , biology
In this note we construct the B€zier variant of summation integral type operators based on a non-negative real parameter. We present a direct approximation theorem by means of the first order modulus of smoothness and the rate of convergence for absolutely continuous functions having a derivative equivalent to a function of bounded variation. In the last section, we study the quantitative Voronovska ja type theorem
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