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ON THE m^(th) ORDER DIFFERENCE SEQUENCE SPACE OF GENERALIZED WEIGHTED mEAN AND COmPACT OPERATORS

Acta mathematica Scientia 2013年第3期33卷 797-813页

作者： m.tin basarir Emrah Evren KARA Department of mathematics Sakarya University Department of mathematics Bilecik Seyh Edebali University

In this article, using generalized weighted mean and difference matrix of order m, we introduce the paranormed sequence space l（u, v, p; △（m））, which consist of the sequences whose generalized weighted △（m）-difference means are in the linear space l（p） defined by ***. Also, we determine the basis of this space and compute its α-, β- and γ-duals. Further, we give the characterization of the classes of matrix mappings from l（u, v, p, △（m）） to l∞, c, and co. Finally, we apply the Hausdorff measure of noncompacness to characterize some classes of compact operators given by matrices on the space lp（U, v, △（m））（1 ≤ p 〈 ∞）.

关键词： Paranormed sequence spaces difference sequence spaces weighted mean α-,β, γ-duals, matrix mappings Hausdorff measure of noncompactness compactoperators

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Limit analysis for the seismic stability of three-dimensional rock slopes using the generalized Hoek-Brown criterion

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International Journal of mining Science and Technology 2022年第2期32卷 237-245页

作者： A.Karrech X.Dong m.Elchalakani H.basarir m.A.Shahin K.Regenauer-Lieb School of Engineering University of Western AustraliaCrawleyWA 6009Australia Department of Geoscience and Petroleum Norwegian University of Science and TechnologyTrondheim 7031Norway School of Civil and mechanical Engineering Curtin UniversityPerth 6102Australia School of minerals and Energy Resources Engineering UNSWSydneyNSW 2052Australia

The parameters that influence slope stability and their criteria of failure are fairly understood but over-conservative design approaches are often preferred,which can result in excessive overburden removal that may jeopardize profitability in the context of open pit *** methods such as finite element and discrete element modelling are instrumental to identify specific zones of stability,but they remain approximate and do not pinpoint the critical factors that influence stability without extensive parametric studies.A large number of degrees of freedom and input parameters may make the outcome of numerical modelling insufficient compared to analytical *** analytical approaches have not tackled the stability of slopes using non-linear plasticity criteria and threedimensional failure *** paper bridges this gap by using the yield design theory and the Hoek-Brown ***,the proposed model includes the effect of seismic forces,which are not always taken into account in slope stability *** results are presented in the form of rigorous mathematical expressions and stability charts involving the loading conditions and the rock mass properties emanating from the plasticity criterion.

关键词： Three-dimensional slope Seismic stability Generalized Hoek-Brown criterion Open pit

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Isolated Triquetrum Fractures: The Importance of Proper Roentgenograms in Ulnar Sided Wrist Pain

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Open Journal of Orthopedics 2015年第7期5卷 186-188页

作者： Guzelali Ozdemir Bekir Yavuz Ucar m. Halis Cerci Baris Yilmaz Kerem basarir Fatih Sultan mehmet Training and Research Hospital Istanbul Turkey Sisli Florence Nightingale Hospital Istanbul Turkey Safa Hospital Istanbul Turkey Ankara University School of medicine Ankara Turkey

Triquetrum fractures are the second most common carpal fractures after scaphoid. However they are seldom encountered due to their clinical symptoms and since they cause less functional disability. They can be misdiagnosed as soft-tissue injuries by considering the similar localization of pain and prolonged symptoms. The majority of triquetrum fractures can be diagnosed with direct X-ray. Obtaining three plane (anterior-posterior, lateral and oblique) X-rays is especially important in diagnosing dorsal chip fractures. Accurate diagnosis provides both controlling the symptoms with adequate immobilization, sufficient information of the patient in the acute period and preventing unnecessary diagnostic work up in the subacute period because of prolonged discomfort. In our study, fifteen patients with isolated triquetrum fractures admitted within six year period were presented with their clinical, radiological features and treatment outcomes.

关键词： Triquetrum Fracture Direct Lateral Roentgenogram

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