Interpolation Operators on a Triangle With all Curved Sides

Baboş, Alina

doi:10.1515/kbo-2018-0129

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2019

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“…Such operators were considered in the papers [8], [7], [6]. Lately, such problems were studied in [2], [1], [3], [11], [9], [10], using interpolation operators.…”

Section: Introductionmentioning

confidence: 99%

Some Interpolation Operators on a Curved Domain

2019

Acta Univ. Apulensis Math. Inform.

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One of the quite simple procedures for constructing multidimensional approximation operators consist in the composition of univariate approximation operators, using tensor product and boolean sum operators. In this paper, using these type of interpolation operators, constructed for functions defined on a triangle and a square with on curved side, we plot the graphs of the interpolation errors of the corresponding interpolation formulas. Also, we give the maximum interpolation errors for the two test functions.

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“…Such operators were considered in the papers [8], [7], [6]. Lately, such problems were studied in [2], [1], [3], [11], [9], [10], using interpolation operators.…”

Section: Introductionmentioning

confidence: 99%

Some Interpolation Operators on a Curved Domain

2019

Acta Univ. Apulensis Math. Inform.

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show abstract

Interpolation Operators on a Triangle With all Curved Sides

Abstract: This paper contains a survey regarding interpolation and Cheney-Sharma type operators defined on a triangle with all curved sides; we considers as well some of the product and Boolean sum operators. We study their interpolation properties and the degree of exactness

Cited by 1 publication

References 9 publications

Some Interpolation Operators on a Curved Domain

Some Interpolation Operators on a Curved Domain

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