p, q-Analogue of a linear transformation preserving log-convexity

Moussa Ahmia () and Hacène Belbachir ()
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Moussa Ahmia: University of Mohamed Seddik Ben Yahia
Hacène Belbachir: USTHB, RECITS Laboratory

Indian Journal of Pure and Applied Mathematics, 2018, vol. 49, issue 3, 549-557

Abstract: Abstract In this paper, we establish the preserving log-convexity of linear transformation associated with p, q-analogue of Pascal triangle, i.e., if the sequence of nonnegative numbers {xn}n is logconvex, then $${y_n} = {\sum\nolimits_{k = 0}^n {\left[ {\frac{n}{k}} \right]} _{pq}}{x_k}$$ y n = ∑ k = 0 n [ n k ] p q x k so is it for q ≠ p ≥ 1.

Keywords: Log-convexity; linear transformations; p; q-binomial coefficient (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s13226-018-0284-5

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