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Browsing Araştırma Çıktıları / Research Outputs by Title

Browsing Araştırma Çıktıları / Research Outputs by Title

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  • 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 Fibonacci spinors 
    Erisir, Tulay; Gungor, Mehmet Ali (WORLD SCIENTIFIC PUBL CO PTE LTD, 2020)
    Spinors are used in physics quite extensively. Basically, the forms of use include Dirac four-spinors, Pauli three-spinors and quaternions. Quaternions in mathematics are essentially equivalent to Pauli spin matrices which ...
  • ON FRAMED TZITZEICA CURVES IN EUCLIDEAN SPACE 
    Yazici, Bahar Dogan; Karakus, Siddika Ozkaldi; Tosun, Murat (UNIV NIS, 2022)
    Investigations are very important for non-regular curves in differential geometry. Framed curves have been used recently to study singular curves, and they have many contributions to singularity theory. In this study, ...
  • 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 generalized Suzuki-Proinov type ?, Z * E -contractions in modular b-metric space 
    Buyukkaya, Abdurrahman; Fulga, Andreea; Ozturk, Mahpeyker (2023)
    Typical research design associated with organic solar cells (OSCs) is conventionally considered time-consuming and laborious because the selection of the materials as the core, pi-acceptor, and terminal groups required for ...
  • 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 Modified Interpolative Almost e-Type Contraction in Partial Modular b-Metric Spaces 
    Kesik, Dilek; Buyukkaya, Abdurrahman; Ozturk, Mahpeyker (MDPI, 2023)
    The current study attempts to identify a new generalized metric space structure, referred to as partial modular b-metric, that extends both partial modular metric space via b-metric space and explains the topological aspects ...
  • On Modules Satisfying S-Noetherian Spectrum Condition 
    Ozen, Mehmet; Naji, Osama A.; Tekir, Unsal; Koc, Suat (2022)
    Let R be a commutative ring having nonzero identity and M be a unital R-module. Assume that S subset of R is a multiplicatively closed subset of R. Then, M satisfies S-Noetherian spectrum condition if for each submodule N ...
  • 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 PERFECT POWERS IN k-GENERALIZED PELL SEQUENCE 
    Siar, Zafer; Keskin, Refik; Oztas, Elif Segah (INST MATHEMATICS, AS CR, )
    Let k 2 and let (P(k) n )n>2-k be the k-generalized Pell sequence defined byP(k) n = 2P(k) n-1 + P(kn-2) + ... + P(k) n-kfor n 2 with initial conditionsP(k) -(k-2)= P(k-(k) -3)= ... = P(k) -1 = P0(k) = 0, P(k) 1 = 1.In ...
  • On relations between BLUPs under two transformed linear random-effects models 
    Guler, Nesrin (TAYLOR & FRANCIS INC, )
    A general linear random-effects model with that includes both fixed and random effects and its two transformed models and are considered without making any restrictions on correlation of random effects and any full rank ...
  • On Ruled Surfaces with a Sannia Frame in Euclidean 3-space 
    Senyurt, Suleyman; Eren, Kemal (2022)
    In this paper we define a new family of ruled surfaces using an othonormal Sannia frame defined on a base consisting of the striction curve of the tangent, the princi-pal normal, the binormal and the Darboux ruled surface. ...
  • On simultaneous characterizations of partner-ruled surfaces in Minkowski 3-space 
    Li, Yanlin; Eren, Kemal; Ersoy, Soley (AMER INST MATHEMATICAL SCIENCES-AIMS, 2023)
    In this study, the partner-ruled surfaces in Minkowski 3-space, which are defined according to the Frenet vectors of non-null space curves, are introduced with extra conditions that guarantee the existence of definite ...
  • 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 ...