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This note presents the proof of monotonicity property for the sequence of classical Bernstein operators, involving divided differences and convex functions. As application, we get the form of remainder term… Click to show full abstract
This note presents the proof of monotonicity property for the sequence of classical Bernstein operators, involving divided differences and convex functions. As application, we get the form of remainder term associated to the classical Bernstein operators applying Popoviciu’s theorem. We also shall establish an upper bound estimation for the remainder term, when approximated function fulfills some given properties.
Keywords:
bernstein operators;
monotonicity property;
property sequence;
classical bernstein;
sequence classical
Journal Title: Afrika Matematika
Year Published: 2018
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Journal Title: Afrika Matematika
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!