A GENERALIZATION OF THE PEANO KERNEL AND ITS APPLICATIONS

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:67 Issue:2
A GENERALIZATION OF THE PEANO KERNEL AND ITS APPLICATIONS

A GENERALIZATION OF THE PEANO KERNEL AND ITS APPLICATIONS

Authors : Gülter BUDAKÇI, Halil ORUÇ

Pages : 229-241

View : 14 | Download : 16

Publication Date : 2018-08-01

Article Type : Research Paper

Abstract :Based on the q-Taylor Theorem, we introduce a more general form of the Peano kernel insert ignore into journalissuearticles values(q-Peano); which is also applicable to non-differentiable functions. Then we show that quantum B-splines are the q-Peano kernels of divided differences. We also give applications to polynomial interpolation and construct examples in which classical remainder theory fails whereas q-Peano kernel works
Keywords : Quantum B splines, Peano kernel, q Taylor theorem, divided diğerences, quantum derivatives, quantum integrals

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