http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/2410 JAEM 2020, Vol 10, No 4 koleksiyonunu içerir. 2026-04-09T00:01:06Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/2912 Integral inequalities via log m-convex functions Noor, Muhammad Aslam; Noor, Khalida Inayat; Safdar, Farhat In this paper, we introduce and investigate a new concept of log m-convex functions. We establish some new Hermite-Hadamard type integral inequalities via log m-convex functions. Our results represent refinement and improvement of the previously known results. Several special cases are also discussed. The concept and technique of this paper may stimulate further research in this field. 2020-01-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/2911 Starlike symmetrical functions Al Sarari, Fuad S. The objective of the present paper is to study subclass S ? ?? ?? (A, B) of analytic functions that is defined by using the class of Janowski functions combined with the (j, k)-symmetrical functions. This class generalizes various classes defined by different authors. Distortion theorem, argument theorem, covering theorem,and convolution condition are obtained. Finally we give analogous definition of neighborhood for the class S ? ?? ?? (A, B) and then investigate related neighborhood result for this new class. 2020-01-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/2910 Estimation of the location and scale parameters of moyal distribution Arslan, Talha; Acıtaş, Şükrü; Şenoğlu, Birdal In this study, we estimate the parameters of the Moyal distribution by using well-known and widely-used maximum likelihood (ML) and method of moments (MoM) methodologies. The ML estimators of the location and scale parameters of the Moyal distribution cannot be obtained in closed forms therefore iterative methods should be utilized. To make the study complete, modifed ML (MML) estimators for the location and the scale parameters of the Moyal distribution are also derived. The MML estimators are in closed forms and asymptotically equivalent to the ML estimators. Efficiencies of the MML estimators are compared with their ML and MoM counterparts using Monte-Carlo (MC) simulation study. Results of the simulation study show that the ML estimators are more efficient than the MML and MoM estimators for small sample sizes. However when the sample size increases performances of the ML and MML estimators are almost same in terms of the Defficiency (Def) criterion as expected. At the end of the study, a real data set is used to show the implementation of the methodology developed in this paper. 2020-01-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/2909 An integral equation involving Saigo-Maeda operator Mittal, Ekta; Joshi, Sunil; Agarwal, Garima The aim of this paper is to obtain a solution of integral equation of the Saigo- Maeda operator which contain Appell-hypergeometric function as a kernel. The integral equation and its solution gives new form of generalised fractional integral and generalised fractional derivative. Further various consequences also investigated. 2020-01-01T00:00:00Z