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Öğe Domain of generalized difference matrix B(r,s) on some Maddox's spaces(2013) Aydin C.; Altay B.In the present paper, the sequence spaces ???(p), ?0(p) and ?(p) of non-absolute type have been introduced and proved that the spaces ???(p), ?0(p) and ?(p) are linearly isomorphic to the spaces l?(p), c0(p) and c(p), respectively. The ?- and ?-duals of the spaces ???(p), ?0(p) and ? (p) have been computed and their basis have been constructed. Finally, some matrix mappings from ???(p), ?0(p) and ?(p) to the some sequence spaces of Maddox have been characterized and relationship between the modular ?p and the Luxemburg norm on the sequence space ???(p) has been discussed. © 2013 by the Mathematical Association of Thailand.Öğe Isolated cecal necrosis mimicking acute appendicitis: A case series(2009) Dirican A.; Unal B.; Bassulu N.; Tatl F.; Aydin C.; Kayaalp C.Introduction. Spontaneous non-occlusive ischemic colitis involving the cecum alone (isolated cecal necrosis) is a rare condition that is generally due to a low-flow state: shock. It presents with right lower quadrant abdominal pain and may resemble acute appendicitis. Little is known about postoperative ischemic necrosis of the remaining colon after surgical treatment of isolated cecal necrosis. We report four cases of isolated cecal necrosis mimicking acute appendicitis seen at our institution within a 4-year period. Case presentation. The patients were two men and two women with a mean age at diagnosis of 59 years (range 46-68). The patients were of Turkish ethnic origin. All patients presented to the emergency room with acute abdominal pain and had symptoms of nausea and vomiting. The medical histories for three of the patients revealed end-stage renal failure requiring hemodialysis. The other patient had chronic obstructive pulmonary disease. Right hemicolectomy with anastomosis was performed in three patients and cecal resection with ileocolostomy was performed in the remaining one patient. All of the patients healed without complications. Median follow-up of patients was 24.5 (range: 17-37) months. There was no recurrence of ischemia in the remaining colon during the follow-up period of the patients. Conclusion. Isolated cecal infarction should be included in the differential diagnosis of acute pain in the right lower quadrant of the abdomen, especially in those patients on chronic hemodialysis. While diffuse ischemic disease of the intestine has high morbidity, mortality and recurrence rates, patients with isolated cecal necrosis have a good prognosis with early diagnosis and surgical treatment compared to those with diffuse ischemic disease. © 2009 licensee BioMed Central Ltd.Öğe Liver transplantation from an upper midline incision(2011) Kayaalp C.; Aydin C.; Unal B.; Baskiran A.; Ozgor D.; Aydinli B.; Yilmaz S.Objectives: To evaluate the minimally invasive incision to the recipient of a liver transplant. Materials and Methods: A 55-year-old man with cirrhosis due to hepatitis B accompanied by hepatocellular carcinoma underwent a right lobe, living-donor liver transplant using an 18-cm long, upper midline incision. The recipient hepatectomy was performed from the left to the right side (from medial to lateral). Deep retractors and long surgical instruments were preferred. Results: The surgical procedure was completed without problem. Both the recipient hepatectomy and implantation of the right liver took 8 hours. Postoperative recovery of the patient was rapid, and he was discharged 8 days after surgery, uneventfully. Conclusions: An upper midline incision can be preferred for liver transplant for selected cases. Minimally invasive surgery is an option for liver transplant recipients as well. © Başkent University 2011 Printed in Turkey. All Rights Reserved.Öğe On the Kr-core of complex sequences and the absolute equivalence of summability matrices(Association for Scientific Research, 2004) Çakan C.; Aydin C.The Kr-core of a complex valued sequence has been introduced in [5]. In this paper, we have determined a class of matrices such that K r - core (Ax) ? Kr - core (x) hold for all x? 1?. Also; we have defined a new type of absolute equivalence, r -absolute equivalence, and characterized these type of matrices.Öğe On the new sequence spaces which include the spaces c0 and c(2004) Aydin C.; Basar F.In the present paper, the sequence spaces ar0 and arc of non-absolute type which are the BK-spaces including the spaces c0 and c have been introduced and proved that the spaces ar0 and arc are linearly isomorphic to the spaces c0 and c, respectively. Additionally, the ?-, (?- and ?-duals of the spaces ar0 and arc have been computed and their basis have been constructed. Finally, the necessary and sufficient conditions on an infinite matrix belonging to the classes (arc: lp) and (arc: c) have beendetermined and the characterizations of some other classes have also been derived by means of a given basic lemma, where 1 ? p ? ?. © 2004 by the University of Notre Dame. All rights reserved.Öğe Pilonidal disease(2009) Aydin C.; Ölmez A.Sacrococcygeal pilonidal disease is a chronic infected wound on intergluteal sulcus. It includes a hair filled cavity and single or multiple orifices on the skin. If it does not treated, it can cause social and psychological disturbances. It is more frequent at dark and hairy people particularly at males. Acute abscess, chronic discharging disease and recurrent disease are the different forms of the disease.Öğe Some generalizations of the sequence space(Shiraz University, 2006) Aydin C.; Basar F.In the present paper, the sequence space d(u, p) of a non-absolute type is introduced and it is proved that the space d(u, p) is linearly isomorphic to the Maddox's space i(p). Besides this, the basis is constructed and the ?-, ?- and ?-duals are computed for the space d(u, p). Furthermore, some matrix mappings from d(u, p) to some sequence spaces are characterized. The final section of the paper is devoted to some consequences related to the rotundity of the space d(u, p). © Shiraz University.Öğe Some new sequence spaces which include the spaces lp and l?(Walter de Gruyter GmbH, 2005) Aydin C.; Başar F.In the present paper, we introduce the sequence space ar p of non-absolute type and prove that the spaces ar p and lp are linearly isomorphic for 0 < p ? ?. We also show that ar p, which includes the space lp, is a p-normed space and a BK space in the cases of 0 < p < 1 and 1 ? p ? ?, respectively. Furthermore, we give some inclusion relations and determine the ?-, ?- and ?-duals of the space ar p and construct its basis. We devote the last section of the paper to the characterization of the matrix mappings from the space ar p to some of the known sequence spaces and to some new sequence spaces. © 2005 Warsaw University. All rights reserved.
