101 citations · 650 across the 25 of their papers we have counts for
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math.CA2012★ 31 cited
Symmetric Differentiation on Time Scales
Artur M. C. Brito da Cruz, Natalia Martins, Delfim F. M. Torres
We define a symmetric derivative on an arbitrary nonempty closed subset of the real numbers and derive some of its properties. It is shown that real-valued functions defined on tim…
math.CA2012★ 5 cited
A symmetric Norlund sum with application to inequalities
Artur M. C. Brito da Cruz, Natalia Martins, Delfim F. M. Torres
Properties of an -symmetric Norlund sum are studied. Inspired in the work by Agarwal et al., -symmetric quantum versions of Holder, Cauchy-Schwarz and Minkowski inequalit…