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Bernstein-type Operators on a Triangle with One Curved Side

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Abstract

We construct Bernstein-type operators on a triangle with one curved side. We study univariate operators, their product and Boolean sum, as well as their interpolation properties, the order of accuracy (degree of exactness, precision set) and the remainder of the corresponding approximation formulas. We also give some illustrative examples.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Str. M. Kogălniceanu Nr. 1, RO-400084, Cluj-Napoca, Romania

    Petru Blaga, Teodora Cătinaş & Gheorghe Coman

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  1. Petru Blaga
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  2. Teodora Cătinaş
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  3. Gheorghe Coman
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Correspondence to Teodora Cătinaş.

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Blaga, P., Cătinaş, T. & Coman, G. Bernstein-type Operators on a Triangle with One Curved Side. Mediterr. J. Math. 9, 833–845 (2012). https://doi.org/10.1007/s00009-011-0156-2

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  • DOI: https://doi.org/10.1007/s00009-011-0156-2

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