• Superconvergence of a modified weak Galerkin method for singularly perturbed two-point elliptic boundary-value problems 

  Toprakseven, Şuayip (Springer Verlag Italia Srl, 2022)

  In this paper, superconvergence approximations of the modified weak Galerkin finite element method for the singularly perturbed two-point elliptic boundary-value problem have been studied. On the piecewise uniform Shishkin ...

• Uniform convergent modified weak Galerkin method for convection-dominated two-point boundary value problems 

  Toprakseven, Şuayip; Zhu, Peng (Scientific Technical Research Council Turkey-Tubitak, 2021)

  We propose and analyze a modified weak Galerkin finite element method (MWG-FEM) for solving singularly perturbed problems of convection-dominated type. The proposed method is constructed over piecewise polynomials of degree ...

• New matrix domain derived by the matrix product 

  Karakaya, Vatan; Şimşek, Recep; Doğan, Kadri (UNİV NIS, 2016)

  In this work, we define new sequence spaces by using the matrix obtained by product of factorable matrix and generalized difference matrix of order m. Afterward, we investigate topological structure which are completeness, ...

• An alternative distribution to Weibull for modeling the wind speed data: Inverse Weibull distribution 

  Akgül, Fatma Gül; Şenoğlu, Birdal; Arslan, Talha (Pergamon-Elsevier Science Ltd, 2016)

  Weibull distribution is widely used for modeling the wind speed data in literature. However, in real life, the wind speed data may not always be modeled by using the Weibull distribution. In other words, it may not represent ...

• Classical and Bayesian estimation of multicomponent stress–strength reliability for exponentiated Pareto distribution 

  Akgül, Fatma Gül (Springer Science and Business Media Deutschland GmbH, 2021)

  This study deals with the classical and Bayesian estimation of reliability in a multicomponent stress–strength model by assuming that both stress and strength variables follow exponentiated Pareto distribution. First, the ...

• A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients 

  Toprakseven, Şuayip (Elsevier BV, 2021)

  In this paper, a weak Galerkin finite element method for solving the time fractional reaction-convection diffusion problem is proposed. We use the well known L1 discretization in time and a weak Galerkin finite element ...

• Estimation of P(X < Y) using ranked set sampling for the Weibull distribution 

  Akgül, Fatma Gül; Şenoğlu, Birdal (NCTU- National Chiao Tung University Press, 2017)

  This paper deals with making inferences regarding system reliability R = P(X < Y) when the distribution of the stress X and the strength Y are independent Weibull. In the literature, estimators based on simple random ...

• Iterative schemes for solving regularized nonconvex mixed equilibrium problems 

  Ansari, Qamrul Hasan; Balooee, Javad; Doğan, Kadri (Yokohama Publications, 2017)

  This paper introduces a new class of equilibrium problems called regularized nonconvex mixed equilibrium problems involving two nonlinear bifunctions. By using the auxiliary principle technique, some iterative algorithms ...

• Some fixed point results for a new three steps iteration process in banach spaces 

  Karakaya, Vatan; Atalan, Yunus; Doğan, Kadri; Bouzara, Nour El Houda (House Book Science-Casa Cartii Stiinta, 2017)

  In this paper, we introduce a three step iteration method and show that this method can be used to approximate fixed point of weak contraction mappings. Furthermore, we prove that this iteration method is equivalent to ...

• Estimation of P(X < Y) using some modifications of ranked set sampling for weibull distribution 

  Şenoğlu, Birdal; Akgül, Fatma Gül (Univ Punjab, 2017)

  In statistical literature, estimation of R = P(X < Y) is a commonly-investigated problem, and consequently, there have been considerable number of studies dealing with its estimation of it under simple random sampling ...

• Inference for the jones and faddy's skewed t-distribution based on progressively type-II censored samples 

  Şenoğlu, Birdal; Akgül, Fatma Gül (Gazi Üniversity, 2017)

  In this paper, the location and the scale parameters of Jones and Faddy’s skewed t (JFST) distribution are estimated based on progressively Type-II censored samples. We obtain maximum likelihood (ML) and modified maximum ...

• The local and semilocal convergence analysis of new Newton-like iteration methods 

  Karakaya, Vatan; Atalan, Yunus; Bouzara, Nour El Houda (Scientific Technical Research Council Turkey-Tubitak, 2018)

  The aim of this paper is to find new iterative Newton-like schemes inspired by the modified Newton iterative algorithm and prove that these iterations are faster than the existing ones in the literature. We further investigate ...

• Inferences on stress-strength reliability based on ranked set sampling data in case of Lindley distribution 

  Akgül, Fatma Gül; Acıtaş, Şükrü; Şenoğlu, Birdal (Taylor & Francis Inc, 2018)

  In this study, we consider point and interval estimation of stress-strength reliability R = P(X < Y) based on ranked set sampling when the distribution of the stress and the strength are both Lindley. Firstly, maximum ...

• Interval estimation of the system reliability for Weibull distribution based on ranked set sampling data 

  Akgül, Fatma Gül; Şenoğlu, Birdal; Acıtaş, Şükrü (Hacettepe Univ, 2018)

  Inference for the system reliability R is one of the most popular problems in the areas of engineering, statistics, biostatistics and etc. Therefore, there exist considerable numbers of studies concerning this problem. ...

• Estimation of stress-strength reliability for weibull distribution based on type-II right censored ranked set sampling data 

  Akgül, Fatma Gül (Univ Punjab, 2018)

  In this paper, we consider the estimation of stress-strength reliability R = P (X < Y) under the type-II right censored data when the distributions of both the stress and the strength are Weibull. First, we discuss the ...

• Robust estimation of the location and the scale parameters of shifted Gompertz distribution 

  Aydın, Demet; Akgül, Fatma Gül; Şenoğlu, Birdal (Univ Studi Salento, 2018)

  In this study, we consider the estimation of the location parameter mu and the scale parameter sigma of the shifted Gompertz distribution. We obtain the closed form estimators of these parameters by using the modified ...

• Estimation of the location and the scale parameters of Burr Type XII distribution 

  Akgül, Fatma Gül; Acıtaş, Şükrü; Şenoğlu, Birdal (Ankara Universty, 2019)

  The aim of this paper is to estimate the location and the scale parameters of Burr Type XII distribution. For this purpose, different estimation methods, namely, maximum likelihood (ML), modified maximum likelihood (MML), ...

• Positive solutions for two-point conformable fractional differential equations by monotone iterative scheme 

  Toprakseven, Şuayip (Turkic World Mathematical Soc, 2021)

  In this paper, two successively iterative schemes have been provided to show the existence of nontrivial solutions for nonlinear conformable fractional differential equation involving nonlocal boundary condition and a ...

• Hartman–wintner and lyapunov-type inequalities for high order fractional boundary value problems 

  Toprakseven, Şuayip (University of Nis, 2020)

  In this paper, we obtain Hartman-Wintner and Lyapunov-type inequalities for the three-point fractional boundary value problem of the fractional Liouville-Caputo differential equation of order α ∈ (2, 3]. The results ...

• Comparison rate of convergence and data dependence for a new iteration method 

  Maldar, Samet; Atalan, Yunus; Doğan, Kadri (Tbilisi Centre Math Sci, 2020)

  In this paper, we have defined hyperbolic type of some iteration methods. The new iteration has been investigated convergence for mappings satisfying certain condition in hyperbolic spaces. It has been proved that this ...

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