Let L L N denote the class of functions defined by ## ลฝ . ลฝ . For N ยช ฯฑ we write f g L L. Functions in L L are called completely monotonic on ลฝ . 0, ฯฑ . We derive several inequalities involving completely monotonic functions. In particular, we prove that the implication is true for 0 F N F 7, bu
On almost monotonic real functions
โ Scribed by Heang K. Tuy
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 316 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0022-4049
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๐ SIMILAR VOLUMES
ON %-PLACE STRIClTLY MONOTONIC FUNCTIONS by JOHN HICXMAN in Canberra (Australia)') Let O X be the class of ordinals, and let f : ON" -+ ON be a n n-place ordinal funcl tion for some number 91 > 0. We define a partial order <\* on ON" by set'ting (a., . . . . j .rn) < \* (y, , . . ., y,,) if .ri 5 y
Using the result of almost u.d. mod 1 and G. HOHEISEL [6] and Emos's result, AKIYAMA [l] gave a different proof of the ERDOS and T U ~N result [4], i.e., A210gpn changes its sign infinitely many times, where pn is the n-th prime number and Aaf(n In this paper, we show the neceasary condition for mo