Research article

Some positive results for exponential-kernel difference operators of Riemann-Liouville type

  • Received: 18 November 2023 Revised: 05 February 2024 Accepted: 18 February 2024 Published: 08 April 2024
  • We established positivity of $ \nabla{f} $ obtained from a systematic computation of a composition of sequential fractional differences of the function $ {f} $ that satisfy certain conditions in a negative lower bound setup. First, we considered the different order sequential fractional differences in which we need a complicated condition. Next, we equalled the order of fractional differences and we saw that a simpler condition will be needed. We illustrated our positivity results for an increasing function of the rising type.

    Citation: Pshtiwan Othman Mohammed. Some positive results for exponential-kernel difference operators of Riemann-Liouville type[J]. Mathematical Modelling and Control, 2024, 4(1): 133-140. doi: 10.3934/mmc.2024012

    Related Papers:

  • We established positivity of $ \nabla{f} $ obtained from a systematic computation of a composition of sequential fractional differences of the function $ {f} $ that satisfy certain conditions in a negative lower bound setup. First, we considered the different order sequential fractional differences in which we need a complicated condition. Next, we equalled the order of fractional differences and we saw that a simpler condition will be needed. We illustrated our positivity results for an increasing function of the rising type.



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