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math.CA2026
A Probabilistic Sign Rule for Quotients of Positive Series and Integral Transforms
Zakaria Derbazi
This paper develops a probabilistic sign rule for quotients of functions represented by positive series or integrals. For a function in this class, normalising the summand function…
math.CA2025
On Preserving or Reversing Higher-Order Unimodality and Convexity by Sign-Regular Kernels
Zakaria Derbazi
This work investigates preserving and reversing unimodality and convexity properties for sequences under transformations defined by sign-regular kernels. It is shown that these tra…