101 citations · 178 across the 5 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.CA2010★ 1 cited
L'Hopital-Type Rules for Monotonicity with Application to Quantum Calculus
Natalia Martins, Delfim F. M. Torres
We prove new l'Hopital rules for monotonicity valid on an arbitrary time scale. Both delta and nabla monotonic l'Hopital rules are obtained. As an example of application, we give s…