Soyfidan, Tülay; Parlatıcı, Hatice; Güngör, Mehmet Ali(2013)
In this paper, we have studied parallel transport frame for a quaternionic curve in E3 and E4. Firstly, we have defined a new kind of slant helix with respect to parallel transport frame and given some necessary and ...
Başarır, Metin(SPRINGER INTERNATIONAL PUBLISHING AG, 2014)
In the present paper, we introduce some new sequence spaces derived by Riesz mean and the notions of almost and strongly almost convergence in a real 2-normed space. Some topological properties of these spaces are investigated. ...
In this paper, the Fibonacci generalized quaternions are introduced. We use the well-known identities related to the Fibonacci and Lucas numbers to obtain the relations regarding these quaternions. Furthermore, the Fibonacci ...
In this study, we introduce the concept of commutative quaternions and commutative quaternion matrices. Firstly, we give some properties of commutative quaternions and their fundamental matrices. After that we investigate ...
The relations between the spectrum of the matrix Q + R and the spectra of matrices (gamma + delta)Q + (alpha+ beta)R - QR - RQ,QR - RQ, alpha beta R - QRQ, alpha RQR - (QR)(2), and beta R - QR have been given assuming that ...
Within the scope of the piecewise homogeneous body model with utilizing of the three dimensional linearized theory of elastic waves in initially stressed bodies the influence of the shear-spring type imperfection of the ...
Let P >= 3 be an integer and let (U-n) and (V-n) denote generalized Fibonacci and Lucas sequences defined by U-0 = 0,U-1 = 1; V-0 = 2,V-1 = P, and Un+1 = PUn Un-1 Vn+1 = PVn - Vn-1 for n >= 1. In this study, when P is odd, ...
In this article, using generalized weighted mean and difference matrix of order m, we introduce the paranormed sequence space l(u, v, p; Delta((m))), which consist of the sequences whose generalized weighted Delta((m))-difference ...
Başarır, Metin; Şahin, Aynur(SPRINGER INTERNATIONAL PUBLISHING AG, 2013)
In this paper, we introduce a new class of mappings and prove the demiclosedness principle for mappings of this type in a CAT(0) space. Also, we obtain the strong and Delta-convergence theorems of new multi-step and ...
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 ...
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.
In this study, we determine when the Diophantine equation x (2)-kxy+y (2)-2 (n) = 0 has an infinite number of positive integer solutions x and y for 0 a (c) 1/2 n a (c) 1/2 10. Moreover, we give all positive integer solutions ...
In this paper, we consider the equation x (2)-L (n) x y+(-1) (n) y (2) = +/- 5 (r) and determine the values of n for which the equation has positive integer solutions x and y. Moreover, we give all positive integer solutions ...
In this study, we consider the Diophantine equations given in the title and determine when these equations have positive integer solutions. Moreover, we find all positive integer solutions of them in terms of Fibonacci and ...
In this paper, we introduce some Fuchsian groups and calculate their parabolic class numbers. In addition, we give two conjectures concerning with the parabolic class number.
We obtained decay and growth estimates for solutions of second-order and third-order differential-operator equations in a Hilbert space. Applications to initial-boundary value problems for linear and nonlinear non-stationary ...