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We consider positivity, monotonicity, and convexity results for discrete fractional operators with exponential kernels. Our results cover both the sequential and nonsequential cases, and we demonstrate both similarities and dissimilarities… Click to show full abstract
We consider positivity, monotonicity, and convexity results for discrete fractional operators with exponential kernels. Our results cover both the sequential and nonsequential cases, and we demonstrate both similarities and dissimilarities between the exponential kernel case and fractional differences with other types of kernels. This shows that the qualitative information gleaned in the exponential kernel case is not precisely the same as in other cases.
Keywords:
exponential kernels;
monotonicity positivity;
convexity monotonicity;
positivity
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2021
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Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2021
Link to full text (if available)
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recommendations!