A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity

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Positivity, monotonicity, and convexity for convolution operators (2020, methodology): “Similarly, for example, if we consider the function a for n ∈ N 0 , then for 1 α 2 the α -th discrete fractional diﬀerence is deﬁned by (see either Goodrich and Lizama [19] or Goodrich and Peterson [20]) for each n ∈ N 0 .”