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Öğe Bazı Özel Matrisler ve Kombinasyonel Özdeşlikler(Selçuk Üniversitesi Fen Fakültesi, 2020) Oğlakkaya, Fatma Sidre; Solak, SüleymanBu çalışma, Fibonacci, Pascal, Stirling ve Bell sayıları gibi özel sayı dizilerini tanıtmak, bu sayı dizilerinin elemanları kullanılarak oluşturulan matrisleri tanımlamak ve bu matrisler arasındaki bazı kombinasyonel özdeşlikleri araştırmak için yapılmıştır.Öğe Fulminant necrotizing fasciitis and toxic shock syndrome caused by streptococcus agalactiae(2018) Uysal, Emin; Hıncal, Şakir Ömür; Solak, Süleyman; Özel, Mustafa Furkan; Ödemiş, İsmailNecrotizing fasciitis is a rare and life-threatening soft tissue infection that spreads rapidly and involves the skin, subcutaneous tissue,fascia, and muscle layer. The treatment is possible by initiating appropriate antibiotherapy for the clinically suspected cause and byperforming surgical intervention quickly and aggressively. However, it should be known that necrotizing fasciitis is a disease that is difficultto manage despite all interventions, effective treatment protocols, and patient care. This article presents the case of a 60-year-oldpatient with diabetes mellitus who died of toxic shock syndrome with fulminant necrotizing fasciitis caused by Streptococcus agalactiae.Öğe A Note on Bound for Norms of Cauchy-Hankel Matrices(John Wiley & Sons Ltd, 2003) Solak, Süleyman ; Bozkurt, DurmuşWe determine bounds for the spectral and l(p) norm of Cauchy-Hankel niatrices of the form H-n = [1/(g + h(i +j))](i,j=1)(n) equivalent to ([1/(g + kh)](i,j=1)(n)), k=0, 1,...n - 1, where k is defined by i + j = k (mod n). Copyright (C) 2002 John Wiley Sons, Ltd.Öğe On GM LCM And Hilbert Matrices and Their Applications(Elsevier Science Inc, 2003) Solak, Süleyman; Türkmen, Ramazan; Bozkurt, DurmuşWe give upper bounds for the l(p) norm of the Hilbert matrix H = (1/(i + j - 1))(i,j=1)(n) and its Hadamard square. Furthermore determine lower bounds for the Frobenius norms of GCD and LCM matrices. (C) 2002 Elsevier Inc. All rights reserved.Öğe On The Bounds of Norms of Circulant Cauchy-Toeplitz Matrices(Selçuk Üniversitesi Fen-Edebiyat Fakültesi, 2002) Solak, Süleyman; Bozkurt, Durmuş[Abstract not Available]Öğe On the Norms of GCD Matrices(2002) Bozkurt, Durmuş; Solak, SüleymanIn this study, we have established the bounds for the 1, norms and the P Euclidean norm of almost GCD Cauchy-Toeplitz, almost GCD Cauchy-Hankel and GCD matrices, respectively.Öğe On the Spectral Norms of Cauchy-Toeplitz and Cauchy-Hankel Matrices(Elsevier Science Inc, 2003) Solak, Süleyman; Bozkurt, DurmuşIn this study, we have found upper and lower bounds for the spectral norm of Cauchy-Toeplitz and Cauchy-Hankel matrices in the forms T-n = [1/(a + (i - j)b](i,j=1)(n), H-n = [1/(a + (i + j)b)](i,j=1)(n). (C) 2002 Elsevier Science Inc. All rights reserved.Öğe On the Spectral Norms of Cauchy–Toeplitz and Cauchy–Hankel Matrices(2000) Bozkurt, Durmuş; Solak, SüleymanIn this study, we have found upper and lower bounds for the spectral norm of Cauchy-Toeplitz and Cauchy-Hankel matrices in the forms 7, [1/(a + (ij)b)] H = [1/(a+(i+j)b)-1.Öğe On the spectral norms of Hankel matrices with Fibonacci and Lucas numbers(Selcuk University Research Center of Applied Mathematics, 2011) Solak, Süleyman; Bahşi, MustafaThis paper is concerned with the work of the authors' [M.Akbulak and D. Bozkurt, on the norms of Hankel matrices involving Fibonacci and Lucas numbers, Selk J. Appl. Math. 9 (2), (2008), 45-52] on the spectral norms of the matrices A=[F_{i+j}]_{i,j=0}?? and B=[L_{i+j}]_{i,j=0}??, where F and L denote the Fibonacci and Lucas numbers, respectively[1]. Akbulak and Bozkurt have found the inequalities for bounds of spectral norms of matrices A and B. As for us, we have found the equalities for the spectral norms of matrices A and B.Öğe On the spectral norms of Hankel matrices with Fibonacci and Lucas numbers(2011) Solak, SüleymanThis paper is concerned with the work of the authors’ [M.Akbulak and D. Bozkurt, on the norms of Hankel matrices involving Fibonacci and Lucas numbers, Selçuk J. Appl. Math. 9 (2), (2008), 45-52] on the spectral norms of the matrices A[F_{ij}]{n-1}_{i,j0} and B[L_{ij}]{n-1}_{i,j0} where F and L denote the Fibonacci and Lucas numbers, respectively[1]. Akbulak and Bozkurt have found the inequalities for bounds of spectral norms of matrices A and B. As for us, we have found the equalities for the spectral norms of matrices A and B.Öğe Some Bounds on \ell_p Matrix and \ell_p Operator Norms of Almost Circulant, Cauchy-toeplitz and Cauchy-Hankel Matrices(2002) Solak, Süleyman; Bozkurt, DurmuşLet C_n , T_n and H_n denote almost circulant, Cauchy-Toeplitz and Cauchy-Hankel matrices, respectively. We find some upper bounds for \ell_p matrix norm and \ell_p operator norm of this matrices. Moreover, we give some results for Kronecker products C_n\bigotimesT_n and C_n\bigotimesH_n.Öğe Some Bounds on lp Matrix and lp Operator Norms of Almost Circulant, Cauchy-Toeplitz and Cauchy-Hankel Matrices(2002) Solak, Süleyman; Bozkurt, DurmuşLet Cn, Tn and Hn denote almost circulant, Cauchy-Toeplitz and Cauchy-Hankel matrices, respectively. We find some upper bounds for ?p matrix norm and ?p operator norm of this matrices. Moreover, we give some results for Kronecker products Cn ? Tn and Cn ? Hn.Öğe Upper bounds for the spectral and norms of Cauchy-Toeplitz and Cauchy-Hankel matrices(2004) Solak, Süleyman; Türkmen, Ramazan; Bozkurt, Durmuş- In this study we have given some upper bounds for the spectral and İ p norms of Cauchy-Toeplitz and Cauchy-Hankel matrices of the forms T[1/(1/2\mid i-j \mid)]_{nxn} and H[1/(1/2(ij))]_{nxn} respectively.