BLENDING TYPE APPROXIMATION BY BÉZIER-SUMMATION-INTEGRAL TYPE OPERATORS

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:67 Issue:2
BLENDING TYPE APPROXIMATION BY BÉZIER-SUMMATION-INTEGRAL TYPE OPERATORS

BLENDING TYPE APPROXIMATION BY BÉZIER-SUMMATION-INTEGRAL TYPE OPERATORS

Authors : Tuncer ACAR, Arun KAJLA

Pages : 195-208

View : 12 | Download : 10

Publication Date : 2018-08-01

Article Type : Research Paper

Abstract :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
Keywords : Blending type approximation, Bézier Summation Integral type operators, weighted approximation, rate of convergence

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