Function, Derivative and High-Order Derivatives Recovery Methods Using the Local Symmetry Projection
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DOI: 10.1007/s10915-017-0451-6
Abstract: In this paper, we develop the function, derivative and high-order derivatives recovery methods for the piecewise $$L^2$$L2 projection and piecewise Lagrange interpolation. The presented recovery methods fully exploit the symmetry property to obtain the superconvergent… read more here.
Keywords: recovery; high order; derivative high; symmetry ... See more keywords
Inequalities Involving Fractional Integrals of a Function and Its Derivative
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DOI: 10.1007/s10958-019-04436-1
Abstract: New inequalities for fractional integrals of a function and its derivative are proved. Lower estimates of weighted norms of the derivative through fractional Riemann–Liouville integrals are obtained. read more here.
Keywords: involving fractional; function derivative; integrals function; fractional integrals ... See more keywords