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Some Approximation Results by Bivariate Bernstein-Kantorovich Type Operators on a Triangular Domain
Resat Aslan,Aydin Izgi 경북대학교 자연과학대학 수학과 2022 Kyungpook mathematical journal Vol.62 No.3
In this work, we define bivariate Bernstein-Kantorovich type operators on a triangular domain and obtain some approximation results for these operators. We start off by computing some moment estimates and prove a Korovkin type convergence theo rem. Then, we estimate the rate of convergence using the partial and complete modulus of continuity, and derive a Voronovskaya-type asymptotic theorem. Further, we calculate the order of approximation with regard to the Peetre’s K-functional and a Lipschitz type class. In addition, we construct the associated GBS type operators and compute the rate of approximation using the mixed modulus of continuity and class of the Lipschitz of Bogel continuous functions for these operators. Finally, we use the two operators to approximate example functions in order to compare their convergence.
ON APPROXIMATION PROPERTIES OF STANCU VARIANT λ-SZÁSZ-MIRAKJAN-DURRMEYER OPERATORS
Aslan, Resat,Rathour, Laxmi The Kangwon-Kyungki Mathematical Society 2022 한국수학논문집 Vol.30 No.3
In the present paper, we aim to obtain several approximation properties of Stancu form Szász-Mirakjan-Durrmeyer operators based on Bézier basis functions with shape parameter λ ∈ [-1, 1]. We estimate some auxiliary results such as moments and central moments. Then, we obtain the order of convergence in terms of the Lipschitz-type class functions and Peetre's K-functional. Further, we prove weighted approximation theorem and also Voronovskaya-type asymptotic theorem. Finally, to see the accuracy and effectiveness of discussed operators, we present comparison of the convergence of constructed operators to certain functions with some graphical illustrations under certain parameters.
Clinical Features and Etiology of Adult Patients with Fever and Rash
( Fehmi Tabak ),( Aysan Murtezaoglu ),( Omur Tabak ),( Resat Ozaras ),( Bilgul Mete ),( Zekayi Kutlubay ),( Ali Mert ),( Recep Ozturk ) 대한피부과학회 2012 Annals of Dermatology Vol.24 No.4
Background: Patients with fever and rash often pose an urgent diagnostic and therapeutic dilemma for the clinician. The nonspecificity of many fever and rash syndromes mandates a systemic approach to diagnosis. Objective: We aimed to determine the etiology of fever and rash in 100 adult patients followed-up as in- or outpatients prospectively. Methods: All the patients, who presented with rash and fever, were followed-up prospectively and their clinical and laboratory studies were evaluated. Results: The median age was 35 years (14∼79 years); 45 were female and 55 were male. Patients were divided into 3 groups according to the etiology: infectious (50%), noninfectious (40%) and undiagnosed (10%). The most common type of rash was maculopapular, and the most common 5 causes were measles, cutaneous drug reactions, varicella, adult-onset Still`s disease (ASD) and rickettsial disease. Viral diseases among infectious causes and cutaneous drug reactions, among the noninfectious causes, were determined as the main diseases. The mortality rate was 5% and the reasons of mortality were as follows: toxic epidermal necrolysis (2 patients), ASD (1), staphylococcal toxic shock syndrome (1) and graft-versus-host disease (1). Conclusion: Adult patients with fever and rash had a wide differential diagnosis. The most common type of rash was determined as maculopapular, and the most frequent five diseases were measles, drug reactions, chickenpox, ASD and rickettsial infection. Viral diseases among infectious causes and drug reactions among noninfectious causes were determined as the leading etiologies. (Ann Dermatol 24(4) 420∼425, 2012)
Ahmet Arif Filiz,Serkan Kahyaoglu,Cemal Resat Atalay 대한산부인과학회 2024 Obstetrics & Gynecology Science Vol.67 No.1
Objective The International ovarian tumor analysis (IOTA)-Assessment of Different NEoplasias in the adneXa (ADNEX) model and the ovarian-adnexal reporting and data system (O-RADS) were developed to improve the diagnostic accuracy of adnexal masses in the preoperative period. This study aimed to evaluate the predictive values of both models in patients who underwent surgery for an adnexal mass at our hospital, based on the final pathological results. Methods This study included patients who underwent surgery for adnexal masses at our hospital between 2019 and 2021 and met the inclusion criteria. The IOTA ADNEX model and O-RADS scores were calculated preoperatively. Results Of the 413 patients, 295 were diagnosed with benign tumors and 118 were diagnosed with malignant tumors. The mean cancer antigen 125 (CA-125) levels for patients diagnosed with benign and malignant were 15.2 unit/mL and 72.5 unit/mL, respectively. According to the receiver operator characteristic analysis for serum CA-125 in postmenopausal and premenopausal patients, the cutoff value of 34.8 unit/mL had a sensitivity of 70.8% and specificity of 83.8% and 180.5 unit/mL had a sensitivity of 32.1% and a specificity of 92.7%, respectively (P<0.001). The sensitivity and specificity values of the IOTA ADNEX model and O-RADS were found as 78.8-48.3% and 97.9-93.5% respectively (P<0.001). There was moderate agreement between the IOTA ADNEX model and O-RADS (Kappa=0.53). Conclusion The IOTA ADNEX model has a similar specificity to the O-RADS in malignancy risk assessment, but the sensitivity of the IOTA ADNEX model is higher than that of the O-RADS. The IOTA-ADNEX model can help avoid unnecessary surgeries.
Hakan Salci,Sani Sarigul,Seref Dogan,Huseyin Lekesiz,Resat Ozcan,O. Sacit Gorgul,Kaya Aksoy 대한수의학회 2008 Journal of Veterinary Science Vol.9 No.2
We performed biomechanical comparison of a xenograft bone plate-screw (XBPS) system for achieving cadaveric lumbar transpedicular stabilization (TS) in dogs. Twenty dogs' cadaveric L2-4 lumbar specimens were harvested and their muscles were removed, but the discs and ligaments were left intact. These specimens were separated to four groups: the L2-4 intact group as control (group I, n = 5), the L3 laminectomy and bilateral facetectomy group (LBF) (group II, n = 5), the LBF plus TS with metal plate-screw group (group III, n = 5) and the LBF plus TS with XBPS group (group IV, n = 5). Five kinds of biomechanical tests were applied to the specimens: flexion, extension, left-right bending and rotation. The averages of the 16 stiffness values were calculated and then these were statistically analyzed. The statistical results show that the XBPS system contributes spinal stability and this system can be a good choice for achieving TS. We performed biomechanical comparison of a xenograft bone plate-screw (XBPS) system for achieving cadaveric lumbar transpedicular stabilization (TS) in dogs. Twenty dogs' cadaveric L2-4 lumbar specimens were harvested and their muscles were removed, but the discs and ligaments were left intact. These specimens were separated to four groups: the L2-4 intact group as control (group I, n = 5), the L3 laminectomy and bilateral facetectomy group (LBF) (group II, n = 5), the LBF plus TS with metal plate-screw group (group III, n = 5) and the LBF plus TS with XBPS group (group IV, n = 5). Five kinds of biomechanical tests were applied to the specimens: flexion, extension, left-right bending and rotation. The averages of the 16 stiffness values were calculated and then these were statistically analyzed. The statistical results show that the XBPS system contributes spinal stability and this system can be a good choice for achieving TS.
( Can Dolapcioglu ),( Yuksel Guleryuzlu ),( Oya Uygur Bayramicli ),( Emel Ahishali ),( Resat Dabak ) 대한간학회 2013 Gut and Liver Vol.7 No.2
Background/Aims: This study aimed to examine the frequency and type of asymptomatic neurological involvement in inflammatory bowel disease (IBD) using cranial magnetic resonance imaging (MRI). Methods: Fifty-one IBD patients with no known neurological diseases or symptoms and 30 controls with unspecified headaches without neurological origins were included. Patients and controls underwent cranial MRI assessments for white matter lesions, sinusitis, otitis-mastoiditis, and other brain parenchymal findings. Results: The frequencies of white matter lesions, other brainstem parenchymal lesions, and otitis-mastoiditis were similar in IBD patients and controls (p>0.05), whereas sinusitis was significantly more frequent in IBD patients (56.9% vs 33.3%, p=0.041). However, among those subjects with white matter lesions, the number of such lesions was significantly higher in IBD patients compared to controls (12.75±9.78 vs 3.20±2.90, p<0.05). The incidence of examined pathologies did not differ significantly with disease activity (p>0.05 for all). Conclusions: The incidence of white matter lesions seemed to be similar in IBD patients and normal healthy individuals, and the lesions detected did not pose any clinical significance. However, long-term clinical follow-up of the lesions is warranted. (Gut Liver 2013;7:169-174)