The Mediating Role of Emotion Lability and Emotion Regulation in The Relationship Between Social-Emotional Adaptation with Behavior Regulation and Social Skills Among Preschool Children

Self-regulation is defined as an individual's ability to control and regulate their own behavior; this skill, forming the foundation of social adjustment, influences one's ability to interact with their environment and manage relationships. Emotion regulation, on the other hand, involves the ability to manage emotional responses and is believed to establish a critical connection between social adjustment and self-regulation. In this study, the aim is to determine the mediating role of emotion regulation in the relationship between behavioral regulation, social skills, and social-emotional adjustment skills using two different models.The study included a total of 216 children aged 5 and 6. Data were collected using the Socio-Demographic Information Form, Emotion Regulation Scale (ERS), Child Behavior Rating Scale (CBRS), and Marmara Social-Emotional Adaptation Scale (MSEAS). When socio-demographic variables were evaluated in terms of social competence and social-emotional adjustment scores according to gender, significant differences were found in favor of girls. Significant differences were also found in favor of children with working mothers when evaluated based on the mother's employment status. There were moderate significant correlations found between emotion regulation, child behavior assessment, and social-emotional adjustment. According to the mediation analyses, there was a partial mediating effect of emotion variability/negativity and emotion regulation in the relationship between behavior regulation and social-emotional adjustment. Similarly, there was a partial mediating effect of emotion variability/negativity and emotion regulation in the relationship between social competence and social-emotional adjustment. It is thought that the finding that children's emotion regulation and emotion variability/negativity mediate the relationship between social-emotional adjustment, social competence, and behavior regulation will contribute to the literature

Analysis of the psychiatric consultations for inpatients and from the emergency room in a university hospital: A comparison with studies from Turkey

Objective: The aim of this research was to assess the characteristics of the consultations required in a psychiatric department of a university hospital, and the distribution of psychiatric disorders in hospitalized patients and patients admitted to the emergency room. Method: In the study, the data of 539 patients 18 years or older (48.67 ± 20.91 years) (46.8% women) who were hospitalized and who presented to the emergency room between 01/01/2015 and 31/12/2015, and for whom a psychiatric consultation was requested were recorded onto a structured form. Patients' electronic databases were reviewed retrospectively for the specified date range. Descriptive statistical analyzes (frequency of data, distribution, mean, standard deviation) were performed for the data examined in the study. Results: Medical departments (42.9%), surgical departments (31.7%) and the emergency medicine department (25.4%) were the most frequently psychiatric consultation requesting departments. The most frequent requests for consultation were agitation (15.4%), depressive symptoms and signs (14.7%) and suicide attempts (12.2%). The most frequent psychiatric diagnoses were depressive disorders (19.5%), delirium (18.2%) and schizophrenia and other psychotic disorders (7.4%). Musculoskeletal diseases (17.4%), mental disorders (15.0%), oncologic diseases (14.1%) and suicide attempts (12.2%) were the primary diagnoses of patients. Discussion: Consultation and liaison psychiatry services have an important role in our relationship with other departments in medicine. Priority to training of depressive disorders, delirium and suicide attempts should be offered to healthcare providers working in these departments

KOROVKIN-TYPE APPROXIMATION PROPERTIES OF BIVARIATE q-MEYER-KÖNIG AND ZELLER OPERATORS

Bu çalışmada iki değişkenli q-Meyer-König ve Zeller operatörlerinin Korovkin tipi yaklaşım özellikleri incelenmiştir. Bu tez altı bölümden oluşmaktadır. Birinci bölüm giriş kısmına ayrılmıştır. İkinci bölümde, lineer pozitif operatörlerle ilgili genel bilgiler verilmiştir. Üçüncü bölümde, q-Meyer-König ve Zeller (q-MKZ) operatörlerinin bir genelletirmesi tanıtılmı ve Heping tipli Korovkin teoremi yardımıyla düzgün yakınsaklıı incelenmitir. Ayrıca bu operatörlerin yaklaım hızları süreklilik modülü ve Lipschitz sınıfından fonksiyonlar yardımıyla elde edilmitir. Dördüncü bölümde, iki deikenli q-Meyer-König ve Zeller operatörleri tanıtılmıtır. Bu operatörlerin düzgün yakınsaklıı hem Heping tipli Korovkin teoremi hem de Volkov teoremi yardımıyla incelenmitir. Daha sonra, iki deikenli fonksiyonlar için süreklilik modülü ve Lipschitz sınıfından fonksiyonlar yardımıyla bu operatörlerin yaklaım hızları elde edilmitir. Beinci bölümde, q-Meyer-König ve Zeller operatörlerinin, üçüncü bölümde verilen operatörleri de kapsayan, genel bir ailesi olan n W operatörleri tanıtılmı ve bu operatörlerin düzgün yakınsaklıı Heping tipli Korovkin teoremi yardımıyla incelenmitir. Bu operatörlerin yaklaım hızları süreklilik modülü ve Lipschitz sınıfından fonksiyonlar yardımıyla elde edilmitir. Ayrıca n W operatörlerinin r yinci basamaktan genelletirmesi incelenmitir. Son bölümde, n W operatörlerinin iki deikenli genelletirmesi olan n1 ,n2 W operatörleri oluturularak, bu operatörlerin düzgün yakınsaklıı hem Heping tipli Korovkin teoremi hem de Volkov teoremi yardımıyla incelenmitir. Bu operatörlerin yaklaım hızları iki deikenli fonksiyonlar için süreklilik modülü ve Lipschitz sınıfından fonksiyonlar yardımıyla elde edilmitir. Ayrıca bu operatörlerin r yinci basamaktan genelletirmesi de verilmitir.In this study, Korovkin-type approximation properties of bivariate q-Meyer-König and Zeller operators are investigated. This thesis consists of six chapters. The first chapter is devoted to introduction. In the second chapter, general informations about the linear positive operators are given. In the third chapter, a generalization of the Meyer-König and Zeller (MKZ) operators based on q-integers are introduced and uniform convergence of these operators is investigated with the help of Heping-type Korovkin theorem. In addition, the rates of approximation of these operators are obtained with the help of the modulus of continuity and the elements of Lipschitz class functionals. In the fourth chapter, a bivariate generalization of the Meyer-König and Zeller operators based on q-integers is introduced and uniform convergence of these operators is examined with the help of either Heping-type Korovkin theorem and or Volkov theorem. Moreover the rates of convergence these operators are given by means of the modulus of continuity and the elements of Lipschitz class functionals for bivariate functions. In the fifth chapter, the operators n W which is the general family of Meyer- König and Zeller operators based on q-integers that include the operators given in the third chapter are introduced. At first, uniform convergence of these operators is investigated with the help of Heping-type Korovkin theorem. Later, the rates of convergence of these operator are given by means of modulus of continuity and the elements of Lipschitz class functionals. Also, an r-th order generalization of these operators are given. In the last chapter, n1 ,n2 W operators being a bivariate generalization of a general sequence of n W are constructed. Uniform convergence of these operators is investigated with the help of either Heping-type Korovkin theorem or Volkov theorem. In addition, the rate of convergence of these operators are obtained by means of modulus of continuity and the elements of Lipschitz class functionals for bivariate functions. Finally, the r-th order generalization of these operators are given

Quantitative Estimates for the Tensor Product (p,q)-Balazs-Szabados Operators and Associated Generalized Boolean Sum Operators

In this study, we give some approximation results for the tensor product of (p,q)-BalazsSzabados operators associated generalized Boolean sum (GBS) operators. Firstly, we introduce tensor product (p,q)-Balazs-Szabados operators and give an uniform convergence theorem of these operators on compact rectangular regions with an illustrative example. Then we estimate the approximation for the tensor product (p,q)-Balazs-Szabados operators in terms of the complete modulus of continuity, the partial modulus of continuity, Lipschitz functions and Petree's K-functional corresponding to the second modulus of continuity. After that, we introduce the GBS operators associated the tensor product (p,q)-Balazs-Szabados operators. Finally, we improve the rate of smoothness by the mixed modulus of smoothness and Lipschitz class of Bogel continuous functions for the GBS operators

Approximation by (p,q)-Analogue of Balazs-Szabados Operators

In the present paper, we introduce a generalization of Balazs-Szabados operators by means of (p,q)-calculus. We give the rate of convergence of Balazs-Szabados operators on based (p,q)-integrers by using Lipschitz class function and the Peetre's K-functional. We give the degree of asymptotic approximation by means of Voronoskaja type theorem. Further, we give some comparisons associated the convergence of Balazs-Szabados, q- Balazs-Szabados and (p,q)-Balazs-Szabados operators to certain functions by illustrations. Moreover, we investigate the properties of the weighted approximation for these operators