Yazar "Karaisa, Ali" seçeneğine göre listele
Listeleniyor 1 - 20 / 21
Sayfa Başına Sonuç
Sıralama seçenekleri
Öğe ALMOST DIFFERENCE SEQUENCE SPACES DERIVED BY USING A GENERALIZED WEIGHTED MEAN(Eudoxus Press, Llc, 2015) Karaisa, Ali; Ozger, FarukIn this study, we define the spaces f s(u, v, Delta), f(u, v, Delta) and f(0)(u, v, Delta) that consist of all sequence whose G(u, v, Delta)- transforms are in the set of almost convergent sequence and series spaces. Some topological properties of the new almost convergent sets have been investigated as well as gamma- and beta-duals of the spaces f(u, v, Delta) and f s(u, v, Delta). Also, the characterization of certain matrix classes on/into the mentioned spaces has exhaustively been examined. Finally, some identities and inclusion relations related to core theorems are established.Öğe Almost Sequence Spaces Derived by the Domain of the Matrix Ar(Hindawi Ltd, 2013) Karaisa, Ali; Karabiyik, UmitBy using A(r), we introduce the sequence spaces a(f)(r), a(f0)(r), and a(fs)(r) of normed space and BK-space and prove that a(f)(r), a(f0)(r), and a(fs)(r) are linearly isomorphic to the sequence spaces f, f(0), and fs, respectively. Further, we give some inclusion relations concerning the spaces a(f)(r), a(f0)(r) and the nonexistence of Schauder basis of the spaces fs and a(fs)(r) is shown. Finally, we determine the beta- and gamma-duals of the spaces a(f)(r) and a(fs)(r). Furthermore, the characterization of certain matrix classes on new almost convergent sequence and series spaces has exhaustively been examined.Öğe Approximation by Durrmeyer type Jakimoski-Leviatan operators(Wiley, 2016) Karaisa, AliIn this study, we introduce the Durrmeyer type Jakimoski-Leviatan operators and examine their approximation properties. We study the local approximation properties of these operators. Further, we investigate the convergence of these operators in a weighted space of functions and obtain the approximation properties. Furthermore, we give a Voronovskaja type theorem for the our new operators. Copyright (C) 2015 John Wiley & Sons, Ltd.Öğe Fibonacci statistical convergence and Korovkin type approximation theorems(Springer, 2017) Kirisci, Murat; Karaisa, AliThe purpose of this paper is twofold. First, the definition of new statistical convergence with Fibonacci sequence is given and some fundamental properties of statistical convergence are examined. Second, we provide various approximation results concerning the classical Korovkin theorem via Fibonacci type statistical convergence.Öğe Fibonacci statistical convergence and Korovkin type approximation theorems(Springer, 2017) Kirisci, Murat; Karaisa, AliThe purpose of this paper is twofold. First, the definition of new statistical convergence with Fibonacci sequence is given and some fundamental properties of statistical convergence are examined. Second, we provide various approximation results concerning the classical Korovkin theorem via Fibonacci type statistical convergence.Öğe Fine spectra of triangular triple-band matrices on sequence spaces c and lp, (0 < p < 1)(Univ Osijek, Dept Mathematics, 2016) Karaisa, Ali; Asar, Yasin; Tollu, Durhasan TurgutThe purpose of this study is to determine the fine spectra of the operator for which the corresponding upper and lower triangular matrices A(r, s, t) and B(r, s, t) are on the sequence spaces c and l(p), where (0 < p < 1), respectively. Further, we obtain the approximate point spectrum, defect spectrum and compression spectrum on these spaces. Furthermore, we give the graphical representations of the spectrum of the triangular triple band matrix over the sequence spaces c and l(p).Öğe Fine Spectra of Upper Triangle Triple Band Matrices over the Sequence Spaces lp, (0 < p < ?)(Amer Inst Physics, 2012) Basar, Feyzi; Karaisa, AliThe operator A(r, s, t) on sequence space on l(p) is defined Lambda(r, s, t) x = (rx(k-1) + sx(k) + tx(k+1))(k=0)(infinity) where x = (x(k)) subset of l(p), with (0 < p < 1). The main purpose of this paper is to determine the fine spectrum with respect to the Goldberg's classification of the operator A(r, s, t) defined by a triple sequential band matrix over the sequence space l(p). Additionally, we give the approximate point spectrum, defect spectrum and compression spectrum of the matrix operator A(r, s, t) over the space l(p).Öğe Fine Spectra of Upper Triangular Double-Band Matrices over the Sequence Space lp, (1 < p < ?)(Hindawi Ltd, 2012) Karaisa, AliThe operator A((r) over tilde,(s) over tilde) on sequence space on l(p) is defined A((r) over tilde, (s) over tilde )x = (r(k)x(k) + s(k)x(k+1))(k=0)(infinity), where x = (x(k)) is an element of l(p), and (r) over tilde and (s) over tilde are two convergent sequences of nonzero real numbers satisfying certain conditions, where (1 < p < infinity). The main purpose of this paper is to determine the fine spectrum with respect to the Goldberg's classification of the operator A((r) over tilde,(s) over tilde) defined by a double sequential band matrix over the sequence space l(p). Additionally, we give the approximate point spectrum, defect spectrum, and compression spectrum of the matrix operator A((r) over tilde,(s) over tilde) over the space l(p).Öğe Fine Spectra of Upper Triangular Triple-Band Matrices over the Sequence Space lp ( 0 < p < ?)(Hindawi Ltd, 2013) Karaisa, Ali; Basar, FeyziThe fine spectra of lower triangular triple-band matrices have been examined by several authors (e. g., Akhmedov (2006), Basar (2007), and Furken et al. (2010)). Here we determine the fine spectra of upper triangular triple-band matrices over the sequence space l(p). The operator A(r, s, t) on sequence space on l(p) is defined by A(r, s, t)x = (rx(k) + sx(k+1) + tx(k+2))(k=0)(infinity), where x = (x(k)) is an element of l(p), with 0 < p < infinity. In this paper we have obtained the results on the spectrum and point spectrum for the operator A(r, s, t) on the sequence space l(p). Further, the results on continuous spectrum, residual spectrum, and fine spectrum of the operator A(r, s, t) on the sequence space l(p). are also derived. Additionally, we give the approximate point spectrum, defect spectrum, and compression spectrum of the matrix operator A(r, s, t) over the space l(p) and we give some applications.Öğe Hausdorff measure of noncompactness in some sequence spaces of a triple band matrix(Springeropen, 2013) Karaisa, AliThe sequence spaces c(0)(B), l(infinity)(B) have recently been introduced by Somez (Comput. Math. Appl. 62: 641-650, 2011). In this paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the spaces c(0)(B), l(infinity)(B) and by using the Hausdorff measure of noncompactness, we characterize some classes of compact operators on these spaces.Öğe Korovkin type approximation theorems for weighted ??-statistical convergence(World Scientific Publ Co Pte Ltd, 2015) Karakaya, Vatan; Karaisa, AliThe concept of alpha beta-statistical convergence was introduced and studied by Aktu. glu (Korovkin type approximation theorems proved via alpha beta-statistical convergence, J Comput Appl Math 259: 174-181, 2014). In this work, we generalize the concept of alpha beta-statistical convergence and introduce the concept of weighted alpha beta-statistical convergence of order., weighted alpha beta-summability of order gamma, and strongly weighted alpha beta-summable sequences of order gamma. We also establish some inclusion relation, and some related results for these new summability methods. Furthermore, we prove Korovkin type approximation theorems through weighted alpha beta-statistical convergence and apply the classical Bernstein operator to construct an example in support of our result.Öğe ON GENERALIZED WEIGHTED MEANS AND COMPACTNESS OF MATRIX OPERATORS(Duke Univ Press, 2015) Karaisa, AliThis paper mainly divided into two parts. The first part gives same facts about topological properties of certain linear topological spaces, inclusion relations and matrix mappings. The second part establishes some identities or estimates for the matrix operator norms and the Hausdorff measures of noncompactness of certain matrix operators, characterize some classes of compact operators on these spaces.Öğe ON GENERALIZED WEIGHTED MEANS AND COMPACTNESS OF MATRIX OPERATORS(Duke Univ Press, 2015) Karaisa, AliThis paper mainly divided into two parts. The first part gives same facts about topological properties of certain linear topological spaces, inclusion relations and matrix mappings. The second part establishes some identities or estimates for the matrix operator norms and the Hausdorff measures of noncompactness of certain matrix operators, characterize some classes of compact operators on these spaces.Öğe On Some Properties Paranormed Sequence Spaces Generated by Generalized Sequence Means and Core Theorems(Chiang Mai Univ, Fac Science, 2017) Karaisa, Ali; Karabiyik, UmitRecently, Mursaleen and Noman constructed new sequence spaces by using a matrix domain over a normed space [On generalized means and some related sequence spaces, Comput. Math. Appl. 61 (2011) 988-999]. They also studied some topological properties of these spaces. In this work, we generalize the normed sequence space defined by Mursaleen and Noman to paranormed space. Furthermore, we introduce new sequence space over the paranormed space by using the expansion method. Then, we investigate some topological properties. Finally, we introduce generalized means core of a complex-valued sequence prove some inclusion theorems related to this new type of core.Öğe On the fine spectrum of the generalized difference operator defined by a double sequential band matrix over the sequence space lp, (1 < p < ?)(Hacettepe Univ, Fac Sci, 2015) Basar, Feyzi; Karaisa, AliThe main purpose of this paper is to determine the fine spectrum with respect to the Goldberg's classification of the operator B((r) over tilde, (s) over tilde) defined by a double sequential band matrix over the sequence space l(p), where 1 < p < infinity. These results are more general than the spectrum of the generalized difference operator B(r, s) over l(p) of Bilgic and Furkan.Öğe Some approximation properties of kantorovich variant of chlodowsky operators based on q-Integer(2016) Karaisa, Ali; Aral, AliIn this paper, we introduce two different Kantorovich type generalization of the q Chlodowsky operators. For the Örst operators we give some weighted approximation theorems and a Voronovska ja type theorem. Also, we present the local approximation properties and the order of convergence for unbounded functions of these operators . For second operators, we obtain a weighted statistical approximation propert.Öğe Some New Generalized Difference Spaces of Nonabsolute Type Derived from the Spaces lp and l?(Hindawi Ltd, 2013) Basar, Feyzi; Karaisa, AliWe introduce the sequence space l(p)(lambda)(B) of none absolute type which is a p-normed space and BK space in the cases 0 < p < 1 and 1 <= p <= infinity , respectively, and prove that l(p)(lambda) (B) and l(p) are linearly isomorphic for 0 < 8. Furthermore, we give some inclusion relations concerning the space l(p)(lambda)(B) and we construct the basis for the space l(p)(lambda) (B), where 1 <= p <= infinity. Furthermore, we determine the alpha-, beta- and gamma-duals of the space l(p)(lambda) (B) for 1 <= p <= infinity. Finally, we investigate some geometric properties concerning Banach-Saks type p and give Gurarii's modulus of convexity for the normed space l(p)(lambda)(B)Öğe Some new paranormed sequence spaces and core theorems(Amer Inst Physics, 2014) Karaisa, Ali; Basar, FeyziLet mu is an element of{l(infinity), c, c(0)}. In this study, by using lambda matrix. and difference matrix B, we introduce the new nonabsolute type paranormed sequence space mu(lambda, B; p) and prove that mu(lambda, B; p) and mu(p) linearly isomorphic. Further, we give some inclusion relations concerning the space mu(lambda, B; p). Afterwards, we determine the alpha-, beta- and gamma-duals of the space mu(lambda, p; B). We also give the characterization of the classes (mu(lambda, B; p) : nu) and (nu : mu(lambda, B; p)), where. is any given sequence space. Moreover, we introduce the Lambda-core of a complex valued sequence and determine the necessary and sufficient conditions on a matrix Lambda for which Lambda- core(Lambda x) subset of K core(x) and Lambda core(Ax) subset of st core(x) for all x subset of l(infinity).Öğe Spectrum and fine spectrum of the upper triangular triple-band matrix over some sequence spaces(Amer Inst Physics, 2015) Basar, Feyzi; Karaisa, AliThe fine spectra of lower triangular triple-band matrices in some sequence spaces was examined by several authors. Recently, Karakaya and Altun determined the fine spectra of upper triangular double-band matrices over the sequence spaces c(0) and c, in [1]. In this paper, we determine the fine spectra of the upper triangular triple-band matrix over the sequence spaces c(0), c and l(infinity.) Additionally, we give the approximate point spectrum, the defect spectrum and the compression spectrum of the matrix operator A(r,s,t) over the spaces c(0), c and l(infinity) with some applications. These results are more general than the corresponding results obtained by Karakaya and Altun [J. Comput. Appl. Math. 234 (2010), 1387-1394].Öğe Stancu Type Generalization of Dunkl Analogue of SzA sz Operators(Springer Basel Ag, 2016) Karaisa, Ali; Karakoc, FatihIn this paper, we introduce Stancu type generalization of Dunkl analogue of SzA sz operators. We obtain some direct results, which include asymptotic formula and error estimation in terms of of the modulus continuity. Also, we investigate the convergence of these operators in a weighted space and estimate the rate of convergence.
