EditorialOpen accessEvery word in the titleChlodowsky Type (λ, q)-Bernstein Stancu Operator of Korovkin-Type Approximation Theorem of Rough I-Core of Triple SequencesAyhan Esi, Subramanian Nagarajan, Kemal OzdemirIn this study, we obtain a Korovkin-type approximation theorem for Chlodowsky type (λ, q)-Bernstein Stancu operator of rough I-convergent of triple sequences of positive linear operators of two variables from Hw (K) to Cw (K). We introduce and study some basic properties of Korovkin-type approximation theorem for Chlodowsky type (λ, q)-Bernstein Stancu operator of rough I-convergent of triple sequence spaces … …Journal of Mathematics and Statistics, Vol. 18, Issue 1 · 5 Jul 2022 · 6,322 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleWavelet Statistical Texture Features with Orthogonal Operators Tumour Classification in Magnetic Resonance Imaging BrainR. Meenakshi, P. AnandhakumarTumors medically also called neoplasms are an abnormal mass of tissue resulting from uncontrolled proliferation or division of cells occurring in the human body. If such growth is located in the brain then it is called as brain tumor. Identification of such tumors is a major challenge in the field of medical science. Early identification of tumors prove to be … …American Journal of Applied Sciences, Vol. 10, Issue 10 · 5 Sep 2013 · 6,600 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleArtificial Bee Colony Algorithm Integrated with Fuzzy C-mean Operator for Data ClusteringM. Krishnamoorthi, A. M. NatarajanClustering task aims at the unsupervised classification of patterns in different groups. To enhance the quality of results, the emerging swarm-based algorithms now-a-days become an alternative to the conventional clustering methods. In this study, an optimization method based on the swarm intelligence algorithm is proposed for the purpose of clustering. The significance of the proposed algorithm is that it uses … …Journal of Computer Science, Vol. 9, Issue 4 · 6 May 2013 · 6,299 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOn Applications of Differential Subordination and Differential OperatorM. Darus, R. W. IbrahimProblem statement: The object of this study is to obtain certain differential subordinations. Approach: Here we use known generalized differential operator given by Darus and Ibrahim and well known lemmas given by Miller and Mocanu. Results: We will pose several results on subordination theorems. Conclusion: Many other results can be obtained by using the operator defined. …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 1 Mar 2012 · 7,002 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleInterpolating Operators for MultiapproximationEman Samir BhayaProblem statement: There are no simple definitions of operators for best multiapproximation and best one sided multiapproximation which work for any measurable function in Lp for, p>0. This study investigated operators that are good for best multiapproximation and best one sided multiapproximation. Approach: We first introduced some direct results related to the approximation problem of continuous functions by Hermit-Fejer interpolation … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,654 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleSome Properties of Certain Subclass of Meromorphically Multivalent Functions Defined By Linear OperatorF. Ghanim, M. DarusProblem statement: By means of the Hadamard product (or convolution), a linear operator was introduced. This operator was motivated by many authors namely Srivastava, Swaminathan, Owa and many others. The operator was indeed needed to create new ideas in the area of geometric function theory. Approach: The linear operator of meromorphic p-valent functions was proposed and defined. The preliminary concept … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 7,342 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleHypercyclic Functions for Backward and Bilateral Shift OperatorsN. Faried, Z. A. Hassanain, A. MorsyProblem statement: Giving conditions for bilateral forward and unilateral backward shift operators over the weighted space of p-summable formal series to be hypercyclic. This provides a generalization to the case of Hilbert space. Approach: We used hypercyclicity criterion and some preliminary concepts for formal Laurent series and formal power series. Moreover we got benefits of some duality properties of above … …Journal of Mathematics and Statistics, Vol. 5, Issue 3 · 30 Sep 2009 · 8,184 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleFractional Calculus for Certain Integral Operator Involving Logarithmic CoefficientsAabed Mohammed, Maslina Darus, Daniel BreazProblem statement: Some properties of certain integral operators on some subclasses were studied. Approach: Certain classes defined by integral operators were introduced. The well known definitions and preliminaries results were stated. Results: Having new integral operator, the characterization problems were discussed. Thus sufficient conditions were given. Conclusion: Therefore, by having new integral operators, sufficient conditions were determined. In fact, other … …Journal of Mathematics and Statistics, Vol. 5, Issue 2 · 30 Sep 2009 · 7,181 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAn Improved Genetic Algorithm Based on Adaptive Repair Operator for Solving the Knapsack ProblemSunanda Gupta, M. L. GargProblem statement: Knapsack problem is a typical NP complete problem. During last few decades, Knapsack problem has been studied through different approaches, according to the theoretical development of combinatorial optimization. Approach: In this study, modified evolutionary algorithm was presented for 0/1 knapsack problem. Results: A new objective_func_evaluation operator was proposed which employed adaptive repair function named as repair and elitism … …Journal of Computer Science, Vol. 5, Issue 8 · 31 Aug 2009 · 7,713 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleSolving the Traveling Salesman Problem Using New Operators in Genetic AlgorithmsNaef Taher Al Rahedi, Jalal AtoumProblem statement: Genetic Algorithms (GAs) have been used as search algorithms to find near-optimal solutions for many NP problems. GAs require effective chromosome representations as well as carefully designed crossover and mutation operators to achieve an efficient search. The Traveling Salesman Problem (TSP), as an NP search problem, involves finding the shortest Hamiltonian Path or Cycle in a graph of … …American Journal of Applied Sciences, Vol. 6, Issue 8 · 31 Aug 2009 · 7,584 accessesView PDFCite