Statistical approximation of modified Schurer-type q-Bernstein Kantorovich operators

Lin Qiu

doi:10.1186/1029-242x-2014-465

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Statistical approximation of modified Schurer-type q-Bernstein Kantorovich operators

Lin Qiu

Year: 2014 Journal: Journal of Inequalities and Applications Vol: 2014 (1) Publisher: Springer Science+Business Media

DOI: 10.1186/1029-242x-2014-465

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Abstract

New modified Schurer-type q-Bernstein Kantorovich operators are introduced. The local theorem and statistical Korovkin-type approximation properties of these operators are investigated. Furthermore, the rate of approximation is examined in terms of the modulus of continuity and the elements of Lipschitz class functions. MSC:41A10, 41A25, 41A36.

Keywords:

Mathematics Modulus of continuity Type (biology) Lipschitz continuity Class (philosophy) Operator theory Bernstein polynomial Pure mathematics Mathematical analysis

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Approximation Theory and Sequence Spaces

Physical Sciences → Mathematics → Statistics and Probability

Mathematical Approximation and Integration

Physical Sciences → Mathematics → Numerical Analysis

Mathematical Analysis and Transform Methods

Physical Sciences → Mathematics → Applied Mathematics

Statistical approximation of modified Schurer-type q-Bernstein Kantorovich operators

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