• Kyungpook Mathematical Journal
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• 제62권3호
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• pp.467-484
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• 2022

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 theorem. 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 Bögel continuous functions for these operators. Finally, we use the two operators to approximate example functions in order to compare their convergence.

• 호남수학학술지
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• 제45권4호
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• pp.619-628
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• 2023

In this paper, the fractional order time-varying linear dynamical systems are investigated by using a residual power series method. A residual power series method (RPSM) is constructed for this problem. The exact solution is obtained by the Laplace transform method and the analytical solution is calculated via the residual power series method (RPSM). As an application, some examples are tested to show the accuracy and efficacy of the proposed methods. The obtained result showed that the proposed methods are effective and accurate for this type of problem.

• Computers and Concrete
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• 제7권3호
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• pp.271-283
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• 2010

Testing of ultrasonic pulse velocity (UPV) is one of the most popular and actual non-destructive techniques used in the estimation of the concrete properties in structures. In this paper, artificial neural network (ANN) approach has been proposed for the evaluation of relationship between concrete compressive strength, UPV, and density values by using the experimental data obtained from many cores taken from different reinforced concrete structures with different ages and unknown ratios of concrete mixtures. The presented approach enables to find practically concrete strengths in the reinforced concrete structures, whose records of concrete mixture ratios are not yet available. Thus, researchers can easily evaluate the compressive strength of concrete specimens by using UPV values. The method can be used in conditions including too many numbers of the structures and examinations to be done in restricted time duration. This method also contributes to a remarkable reduction of the computational time without any significant loss of accuracy. Statistic measures are used to evaluate the performance of the models. The comparison of the results clearly shows that the ANN approach can be used effectively to predict the compressive strength of concrete by using UPV and density data. In addition, the model architecture can be used as a non-destructive procedure for health monitoring of structural elements.

• Korean Journal of Mathematics
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• 제26권3호
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• pp.483-501
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• 2018

In this paper, we present some recent results on weighted pointwise convergence and the rate of pointwise convergence for the family of nonlinear double singular integral operators in the following form: $$T_{\eta}(f;x,y)={\int}{\int\limits_{{\mathbb{R}^2}}}K_{\eta}(t-x,\;s-y,\;f(t,s))dsdt,\;(x,y){\in}{\mathbb{R}^2},\;{\eta}{\in}{\Lambda}$$, where the function $f:{\mathbb{R}}^2{\rightarrow}{\mathbb{R}}$ is Lebesgue measurable on ${\mathbb{R}}^2$ and ${\Lambda}$ is a non-empty set of indices. Further, we provide an example to support these theoretical results.

• Structural Engineering and Mechanics
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• 제44권3호
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• pp.305-323
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• 2012

Structural defects such as cracks are the source of local flexibilities and cause deficiencies in structural resistance. In the engineering constructions, structural elements sometimes are subjected to axial loading. Therefore, besides crack ratios and locations, influence of applied load on the stability and dynamical characteristics should also be explored. This study offers a numerical technique for the vibration and stability analysis of axially loaded cracked beams. The model merges finite element and component mode synthesis methods. Initially, stability analysis is completed and then dynamical characteristics of beams are found. Very good conformities between outcomes of the current study and those in literature, give the confidence that proposed method is reliable and effective.

• Clinical and Experimental Reproductive Medicine
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• 제47권4호
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• pp.319-322
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• 2020

Adrenal rest tumors are a rare extra-adrenal complication of congenital adrenal hyperplasia (CAH) in women although they are more commonly found in the testes of male patients with CAH. An ovarian adrenal rest tumor (OART) may coexist with CAH or imitate its symptoms without CAH. In this case report, we present the case of a woman with OART without CAH, whose main complaint was infertility and who had a baby after successful surgical treatment.

• Korean Journal of Mathematics
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• 제30권3호
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• pp.539-553
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• 2022

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.

• 대한청각학회지
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• 제23권1호
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• pp.15-19
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• 2019

Background and Objectives: To determine the efficacy of filling the external auditory meatus with 1% clotrimazole at a single visit for the treatment of otomycosis. Subjects and Methods: This prospective study included 40 patients who were referred to our clinic with complaints of ear itching, pain, and fullness, and were diagnosed with unilateral otomycosis. After cleaning the mycotic hyphae from the external auditory meatus, the ear canal was filled with 1% clotrimazole, using an intravenous catheter and syringe. The patients received follow-up examinations on post-treatment days 7, 15, and 45. Results: The follow-up otomicroscopic examinations revealed that 95% of the ear canals were entirely clean and that all symptoms had resolved. The post-treatment scores of pain, aural fullness and itching were significantly lower than the pre-treatment scores (p<0.01). Conclusions: Filling the external auditory meatus with 1% clotrimazole at a single visit is an easy, efficient, and cost-effective treatment for otomycosis. Additionally, high patient compliance makes this treatment superior to long-term topical therapy.

• Journal of Audiology & Otology
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• 제23권1호
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• pp.15-19
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• 2019

Background and Objectives: To determine the efficacy of filling the external auditory meatus with 1% clotrimazole at a single visit for the treatment of otomycosis. Subjects and Methods: This prospective study included 40 patients who were referred to our clinic with complaints of ear itching, pain, and fullness, and were diagnosed with unilateral otomycosis. After cleaning the mycotic hyphae from the external auditory meatus, the ear canal was filled with 1% clotrimazole, using an intravenous catheter and syringe. The patients received follow-up examinations on post-treatment days 7, 15, and 45. Results: The follow-up otomicroscopic examinations revealed that 95% of the ear canals were entirely clean and that all symptoms had resolved. The post-treatment scores of pain, aural fullness and itching were significantly lower than the pre-treatment scores (p<0.01). Conclusions: Filling the external auditory meatus with 1% clotrimazole at a single visit is an easy, efficient, and cost-effective treatment for otomycosis. Additionally, high patient compliance makes this treatment superior to long-term topical therapy.

• Journal of Biosystems Engineering
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• 제39권4호
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• pp.304-309
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• 2014

Purpose: Weeds cause significant losses in agricultural production. In this study, we investigated the effect of microwaves on the germination rates of cress and arugula seeds to determine whether microwaves could be developed as an effective alternative to conventional chemical-based herbicides. Methods: Seeds were planted at equal depths (8-10 mm) in a soil-turf mixture, and seeds were exposed to microwaves for 126 s, 70 s, and 50 s in a device constructed specifically for this study. A microwave tunnel was built using a variable speed conveyor belt and 4 magnetrons with a combined output power of 2.8 kW. Seeds that were not exposed to microwaves were germinated with regulated irrigation, temperature, and humidity controls in parallel with the treated seeds, and the germination rates were compared among the treatment groups. Results: We found that the exposure of cress and arugula seeds to microwaves for 126 s inhibited germination close to 100%. Cress seeds treated with microwaves for 50 s showed 95% germination compared to 65% germination of the untreated cress seeds. Conclusions: We predict that the thermal effect of microwave energy affects the germination ratio and germination rate of seeds.