Spacing properties of the zeros of orthogonal polynomials on Cantor sets via a sequence of polynomial mappings

Let $\mu$ be a probability measure with an infinite compact support on $\mathbb{R}$. Let us further assume that $(F_n)_{n=1}^\infty$ is a sequence of orthogonal polynomials for $\mu$ where $(f_n)_{n=1}^\infty$ is a sequence of nonlinear polynomials and $F_n:=f_n\circ\dots\circ f_1$ for all $n\in\mathbb{N}$. We prove that if there is an $s_0\in\mathbb{N}$ such that $0$ is a root of $f_n^\prime$ for each $n>s_0$ then the distance between any two zeros of an orthogonal polynomial for $\mu$ of a given degree greater than $1$ has a lower bound in terms of the distance between the set of critical points and the set of zeros of some $F_k$. Using this, we find sharp bounds from below and above for the infimum of distances between the consecutive zeros of orthogonal polynomials for singular continuous measures.Comment: Contains less typo

Orthogonal polynomials on generalized Julia sets

We extend results by Barnsley et al. about orthogonal polynomials on Julia sets to the case of generalized Julia sets. The equilibrium measure is considered. In addition, we discuss optimal smoothness of Green functions and Parreau-Widom criterion for a special family of real generalized Julia sets.Comment: We changed the second part of the article a little bit and gave sharper results in this versio

DETERMINANTS OF ACCEPTANCE OF MOBILE GAMES THROUGH STRUCTURAL EQUATION MODELING

Mobile games are considered as one of the emerging mobile services in recent years and mobile gaming is the fastest and most popular service among the innovations in mobile and network technologies. The mobile game market value is increasing remarkably and the number of players is rapidly growing. For this reason, the acceptance factors of mobile games can be considered as an important research problem. In this paper, we attempt to investigate the factors influencing the usage and acceptance of mobile games, based on the extended version of the Technology Acceptance Model (TAM) to give directions to mobile game service providers on how to design their products in order to increase acceptance of their games. Data are collected by an online survey consisting of 34 questions from 112 participants. After applying the exploratory factor analysis (EFA) to eliminate insignificant data, the remaining data are analyzed and evaluated by using the structural equation modeling (SEM). The statistical results show that Use Context, Flow Experience, Perceived Enjoyment, and Perceived Convenience have a direct effect on intention to play mobile game

THE EFFECT OF UTILIZING VIDEO RECORDING TECHNOLOGY ON THE PERFORMANCE OF THE INSTRUMENT IN DAILY PRACTICES IN THE VIOLIN EDUCATION PROCESS

The aim of the research is to examine the effects of violin students' use of video recording technology in their daily practices on violin performances. The research was designed in a mixed design in which quantitative and qualitative research methods were used together. In the quantitative part of the research, the single-group pre-test-post-test model was used, and in the qualitative part, the case study model was used in which the opinions of violin students on the use of video recording technology in their daily practices were determined. The study group of the research consists of 6 first-year violin students studying at Balıkesir University Necatibey Faculty of Education, Department of Fine Arts Education, Department of Music Education. In the research, "Performance Evaluation Scale for Musical and Technical Skills" developed by Parasız (2009) and semi-structured interview form developed by the researcher were used as datas collection devices. The daily practices of violin students, which were recorded using video recording technology, were evaluated by both 6 violin students and 6 violin educators who are experts in their field, using a performance evaluation scale. The interview method was used to determine the opinions of 6 violin students about the use of video recording technology in their daily practices. As a result of the research, it was determined that there was a significant difference in terms of pre-test-post-test scores in the performance evaluations of field experts and violin students. In addition, the opinions obtained from the students indicated that the students were able to realize their mistakes and deficiencies in self-assessment through video recording and that they were able to correct them to a large extent

İçtimaiyat:Maarif ve hars

Taha Toros Arşivi, Dosya No: 36-Ziya Gökalp. Not: Belgenin tarihi 20 Teşrin-i Sani 1932'dir.İstanbul Kalkınma Ajansı (TR10/14/YEN/0033) İstanbul Development Agency (TR10/14/YEN/0033