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Browsing Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection by Title

Browsing Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection by Title

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  • On compact operators on the Riesz B-m-difference sequence space 
    Başarır, Metin (SPRINGER INTERNATIONAL PUBLISHING AG, 2012)
    In this paper, we give the characterization of some classes of compact operators given by matrices on the normed sequence space r(p)(q) (B-m), which is a special case or the paranormed Riesz B-m-difference sequence space ...
  • On Complex Fibonacci Quaternions 
    Halıcı, Serpil (SPRINGER BASEL AG, 2013)
    Horadam defined the Fibonacci quaternions and established a few relations for the Fibonacci quaternions. In this paper, we investigate the complex Fibonacci quaternions and give the generating function and Binet formula ...
  • On Complex Fibonacci Quaternions 
    Halıcı, Serpil (SPRINGER BASEL AG, 2013)
    Horadam defined the Fibonacci quaternions and established a few relations for the Fibonacci quaternions. In this paper, we investigate the complex Fibonacci quaternions and give the generating function and Binet formula ...
  • ON Delta-LACUNARY STATISTICAL ASYMPTOTICALLY EQUIVALENT SEQUENCES 
    Başarır, Metin; Altundağ, Selma (UNIV NIS, FAC SCI MATH, 2008)
    This paper presents new definitions which are a natural combination of the definition for asymptotically equivalence Delta-lacunary statistically convergence. Using this definitions we have proved the S-theta(L) ...
  • On Fibonacci Quaternions 
    Halıcı, Serpil (BIRKHAUSER VERLAG AG, 2012)
    In this paper, we investigate the Fibonacci and Lucas quaternions. We give the generating functions and Binet formulas for these quaternions. Moreover, we derive some sums formulas for them.
  • On generalized difference lacunary statistical convergence in a paranormed space 
    Altundağ, Selma (SPRINGEROPEN, 2013)
    In this article, we introduce the concept of -lacunary statistical convergence and -lacunary strong convergence in a paranormed space. Also, we establish some connections between these concepts.
  • On Generalized Paranormed Statistically Convergent Sequence Spaces Defined by Orlicz Function 
    Başarır, Metin; Altundağ, Selma (HINDAWI PUBLISHING CORPORATION, 2009)
    We define generalized paranormed sequence spaces (c) over bar(sigma, M, p, q, s), (c) over bar (0)(sigma, M, p, q, s) m(sigma, M, p, q, s), and m(0)(sigma, M, p, q, s) defined over a seminormed sequence space (X, q). We ...
  • On idempotency and tripotency of linear combinations of two commuting tripotent matrices 
    Özdemir, Halim; Sarduvan, Murat; Güler, Nesrin (ELSEVIER SCIENCE INC, 2009)
    Let T-1 and T-2 be two nonzero commuting n x n tripotent matrices and c(1), c(2) two nonzero complex numbers. Necessary and sufficient conditions for the tripotency and the idempotency of c(1)T(1) + c(2)T(2) are obtained. ...
  • On idempotency and tripotency of linear combinations of two commuting tripotent matrices 
    Özdemir, Halim; Sarduvan, Murat; Güler, Nesrin (ELSEVIER SCIENCE INC, 2009)
    Let T-1 and T-2 be two nonzero commuting n x n tripotent matrices and c(1), c(2) two nonzero complex numbers. Necessary and sufficient conditions for the tripotency and the idempotency of c(1)T(1) + c(2)T(2) are obtained. ...
  • On idempotency of linear combinations of idempotent matrices 
    Özdemir, Halim (ELSEVIER SCIENCE INC, 2004)
    P-1, P-2 and P-3 being any three different nonzero mutually commutative n x n idempotent matrices, and C-1 C-2 and C-3 being nonzero scalars, the problem of characterizing some situations, where a linear combination of the ...
  • On linear combinations of two tripotent, idempotent, and involutive matrices 
    Sarduvan, Murat; Özdemir, Halim (ELSEVIER SCIENCE INC, 2008)
    Let A = c(1)A(1) + c(2)A(2), where c(1), c(2) are nonzero complex numbers and (A(1), A(2)) is a pair of two n x n nonzero matrices. We consider the problem of characterizing all situations where a linear combination of the ...
  • ON NEW TYPES OF SETS VIA gamma-OPEN SETS IN BITOPOLOGICAL SPACES 
    Merve Ilkhan; Akyiğit, Mahmut; Emrah Evren Kara (ANKARA UNIV, FAC SCI, 2018)
    In this paper, the concept of (i,j)-gamma-P-open sets in bitopological spaces are introduced and characterizations of their related notions are given.
  • ON SOME COMBINATORIAL IDENTITIES INVOLVING THE TERMS OF GENERALIZED FIBONACCI AND LUCAS SEQUENCES 
    Halıcı, Serpil (HACETTEPE UNIV, FAC SCI, 2013)
    In this paper, we consider the Horadam sequence and some summation formulas involving the terms of the Horadam sequence. We derive combinatorial identities by using the trace, the determinant, and the nth power of a special ...
  • ON SOME COMMON FIXED POINT THEOREMS WITH RATIONAL EXPRESSIONS ON CONE METRIC SPACES OVER A BANACH ALGEBRA 
    Öztürk, Mahpeyker; Başarır, Metin (HACETTEPE UNIV, FAC SCI, 2012)
    In the present paper we have defined a new space called a BA-cone metric space by taking a Banach algebra instead of a Banach space. Some common fixed point theorems involving rational expressions have been proved and some ...
  • ON SOME DIFFERENCE SEQUENCE SPACES OF WEIGHTED MEANS AND COMPACT OPERATORS 
    Başarır, Metin (DUKE UNIV PRESS, 2011)
    In the peresent paper, by using generalized weighted mean and difference matrix of order m, we introduce the sequence spaces X(u, v, Delta((m))), where X is one of the spaces l(infinity), c or c(0). Also, we determine the ...
  • On some Diophantine equations 
    Demirtürk Bitim, Bahar; Keskin, Refik (SPRINGEROPEN, 2013)
    for p >= 3 and a square-free integer p(2) - 4. In addition to these, all solutions of some different Diophantine equations such as x(2) - v(2n)xy + y(2) = -(p(2) - 4)u(n)(2), x(2) - v(n)xy + y(2) = -(p(2) - 4), x(2) - ...
  • On some fixed-point theorems for psi-contraction on metric space involving a graph 
    Öztürk, Mahpeyker (SPRINGEROPEN, 2014)
    In this paper, we introduce the (G,psi)-contraction and the (G,psi)-graphic contraction in a metric space by using a graph. We explain some conditions for a mapping which is a (G,psi)-contraction to have a unique fixed ...
  • On Some Generalized B-m-Difference Riesz Sequence Spaces and Uniform Opial Property 
    Başarır, Metin; Öztürk, Mahpeyker (SPRINGER INTERNATIONAL PUBLISHING AG, 2011)
    We define the new generalized difference Riesz sequence spaces r(infinity)(q)(p, B-m), r(c)(q)(p, B-m), and r(0)(q)(p, B-m) which consist of all the sequences whose B-m-transforms are in the Riesz sequence spaces ...
  • On some generalized difference sequences of fuzzy numbers 
    Başarır, Metin (ACADEMIC PUBLICATION COUNCIL, 2007)
    The purpose of this paper is to introduce the concepts of statistical convergence and strongly (p)-Cesaro convergence of generalized difference sequences of fuzzy numbers. We give some relations related to these concepts. ...
  • ON SOME INEQUALITIES AND HANKEL MATRICES INVOLVING PELL, PELL-LUCAS NUMBERS 
    Halıcı, Serpil (EDITURA ACAD ROMANE, 2013)
    In [4], the authors defined Toeplitz and Hankel matrices with Pell numbers and gave bounds for the spectral norms of them. In this study, we define Hankel matrices involving the Pell, Pell-Lucas and modified Pell sequences ...