This paper is devoted to an inequality for divided differences in the multivariate case which is similar to the inequality obtained by [J. Pečarić, and M. Rodić Lipanović, On an inequality for divided differences, Asian-European Journal of Mathematics, Vol. 1, No. 1 (2008), 113-120].

Humor is one of the most important human activities, one that is enjoyed daily by people in every culture and at every age. However, very little is known about how aging affects humor experiences. Research suggests that elderly people enjoy humor more than younger people, but they have increasing difficulties in understanding jokes. Several cognitive mechanisms that may help explain this trend ...

Old adults' (N = 24) and young adults' (N = 24) speed of producing exemplars of semantic categories (i.e., semantic fluency) varying in difficulty was assessed both in a standard condition and in a "set-switching" condition where exemplars had to be produced from 2 categories in an alternating manner. "Retrieval-position function" parameters were used to assess speed of semantic access independ...

Two studies were conducted to examine age differences in the impact of motivation in a social cognitive task. We tested the hypothesis that aging is associated with an increase in the selective engagement of cognitive resources in support of performance. Different-aged adults read descriptions of 2 people in order to determine which was better suited for a particular job. These descriptions con...

We discuss a class of generalized divided difference operators which give rise to a representation of Nichols-Woronowicz algebras associated to Weyl groups. For the root system of type A, we also study the condition for the deformations of the Fomin-Kirillov quadratic algebra, which is a quadratic lift of the Nichols-Woronowicz algebra, to admit a representation given by generalized divided dif...

Retrieving when an event occurred may depend on an estimation of the age of the event (distance-based processes) or on strategic reconstruction processes based on contextual information associated with the event (location-based processes). Young and older participants performed a list discrimination task that has been designed to dissociate the contribution of both types of processes. An adapte...

This study reports two mental multiplication experiments that were designed to measure age differences in central and peripheral processes. Experiment 1 varied task type (verification vs production), and Experiment 2 varied exposure duration (presentation until response, 600 ms, and 300 ms) on a production task. Neither experiment showed evidence of age differences in central processes (e.g., r...

In two experiments, we examined age differences in collaborative inhibition (reduced recall in pairs of people, relative to pooled individuals) across repeated retrieval attempts. Younger and older adults studied categorized word lists and were then given two consecutive recall tests and a recognition test. On the first recall test, the subjects were given free-report cued recall or forced-repo...

Three experiments examined developmental change in children's understanding of regret and relief, two second-order emotions whose quality depends on a comparison between reality and "what might have been." In Experiment 1, participants 7 years of age and older, but not 5-year-olds, made regret-related emotion-response judgments that took into account a comparison of reality with its alternative...

In young adults, having a relatively long time perspective has been associated with a more abstract, holistic approach to cognitive tasks, as opposed to the more concrete, detailed approach associated with having a more limited or near-future focus ( Trope & Liberman, 2003). Here we studied the impact of age differences in temporal perspective on performance on a classic visual attention task (...