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Latest Published Articles
OMA-Vol. 2 (2018), Issue 1, pp. 19–32 | Open Access Full-Text PDF
Sercan Turhan, İmdat İşcan
Abstract:In this paper, we gave the new general identity for differentiable function. As a result of this identity some new and general fractional integral inequalities for differentiable harmonically convex functions are obtained.
Non-convex hybrid method corresponding to Karakaya iterative process
OMA-Vol. 2 (2018), Issue 1, pp. 08–18 | Open Access Full-Text PDF
Samina Kausar, Muhammad Asif, Mubeen Munir
Abstract:In this article we present non-convex hybrid iteration algorithm corollaryresponding to Karakaya iterative scheme [1] as done by Guan et al. in [2] corollaryresponding to Mann iterative scheme [3]. We also prove some strong convergence results about common fixed points for a uniformly closed asymptotic family of countable quasi-Lipschitz mappings in Hilbert spaces.
A new third-order iteration method for solving nonlinear equations
OMA-Vol. 2 (2018), Issue 1, pp. 01–07 | Open Access Full-Text PDF
Muhammad Saqib, Zain Majeed, Muhammad Quraish, Waqas Nazeer
Abstract:In this paper, we establish a two step third-order iteration method for solving nonlinear equations. The efficiency index of the method is 1.442 which is greater than Newton-Raphson method. It is important to note that our method is performing very well in comparison to fixed point method and the method discussed by Kang et al. (Abstract and applied analysis; volume 2013, Article ID 487060).
A Method to Compute the Determinant of a \(5\times5\) Matrix
OMS-Vol. 2 (2018), Issue 1, pp. 156–163 Open Access Full-Text PDF
Reza Farhadian
Abstract:In this paper we have presented a new method to compute the determinant of a \(5\times5\) matrix.
Some Estimations Čebyšev-Grüss Type Inequalities Involving Functions and their Derivatives
OMS-Vol. 2 (2018), Issue 1, pp. 146–155 | Open Access Full-Text PDF
Mehmet Zeki Sarikaya, Sümeyra Kaplan
Abstract:In this paper, some inequalities related to Čebyšev’s functional are proved.
Secure Domination in Lict Graphs
OMS-Vol. 2 (2018), Issue 1, pp. 134–145 | Open Access Full-Text PDF
Girish V. Rajasekharaiah, Usha P. Murthy
Abstract:For any graph \(G=(V,E)\), lict graph \(\eta(G)\) of a graph \(G\) is the graph whose vertex set is the union of the set of edges and the set of cut-vertices of \(G\) in which two vertices are adjacent if and only if the corresponding edges are adjacent or the corresponding members of \(G\) are incident. A secure lict dominating set of a graph \(\eta(G)\) , is a dominating set \(F \subseteq V(\eta(G))\) with the property that for each \(v_{1} \in (V(\eta(G))-F)\), there exists \(v_{2} \in F\) adjacent to \(v_{1}\) such that \((F-\lbrace v_{2}\rbrace) \cup \lbrace v_{1} \rbrace\) is a dominating set of \(\eta(G)\). The secure lict dominating number \(\gamma_{se}(\eta(G))\) of \(G\) is a minimum cardinality of a secure lict dominating set of \(G\). In this paper many bounds on \(\gamma_{se}(\eta(G))\) are obtained and its exact values for some standard graphs are found in terms of parameters of \(G\). Also its relationship with other domination parameters is investigated.