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A general fractional Taylor formula and its computation for insufficiently smooth functions are discussed. The Aitken delta square method and epsilon algorithm are implemented to compute the critical orders of the local fractional derivatives, from which more critical orders are recovered by analysing the regular pattern of the fractional Taylor formula. The Richardson extrapolation method is used to calculate the local fractional derivatives with critical orders. Numerical examples are provided to verify the theoretical analysis and the effectiveness of our approach.

A great number of microtektites were found in core collected from North Pacific. Because abundant microtektites are restricted to a 20-30 cm thick zone of core, we called this zone is miicrotektite layer. The age of sediments concentrated microtektites is from the Pliocene to the Pleistocene epoch. Research results indicate that these microtektites are similar to the North American tektites and the Australasian tektites, but they have the unique property on the chemistry.

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A Local Fractional Taylor Expansion and Its Computation for Insufficiently Smooth Functions

Preliminary Study on Neogene Microtektites in the Core Collected from North Pacific *

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2 results

A Local Fractional Taylor Expansion and Its Computation for Insufficiently Smooth Functions

Preliminary Study on Neogene Microtektites in the Core Collected from North Pacific*

Preliminary Study on Neogene Microtektites in the Core Collected from North Pacific *