<Emphasis Type="Italic">p</Emphasis>, <Emphasis Type="Italic">q</Emphasis>-Analogue of a linear transformation preserving log-convexity |
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| Authors: | Moussa Ahmia Hacène Belbachir |
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| Institution: | 1.Department of Mathematics,University of Mohamed Seddik Ben Yahia,Jijel,Algeria;2.Faculty of Mathematics,USTHB, RECITS Laboratory,Algiers,Algeria |
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| 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 \({y_n} = {\sum\nolimits_{k = 0}^n {\left {\frac{n}{k}} \right]} _{pq}}{x_k}\) so is it for q ≠ p ≥ 1. |
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