On the Interval Baker-Thompson Rule

Gok, S. Z. Alparslan
The main aim of this paper is to give an axiomatic characterization of the interval Baker-Thompson rule.
Journal of Applied Mathematics


On the q-analysis of q-hypergeometric difference equation
Sevindik-Adıgüzel, Rezan; Taşeli, Hasan; Department of Mathematics (2010)
In this thesis, a fairly detailed survey on the q-classical orthogonal polynomials of the Hahn class is presented. Such polynomials appear to be the bounded solutions of the so called qhypergeometric difference equation having polynomial coefficients of degree at most two. The central idea behind our study is to discuss in a unified sense the orthogonality of all possible polynomial solutions of the q-hypergeometric difference equation by means of a qualitative analysis of the relevant q-Pearson equation. T...
On the arithmetic operations over finite fields of characteristic three with low complexity
AKLEYLEK, SEDAT; Özbudak, Ferruh; Özel, Claire Susanna (2014-03-15)
In this paper, the Hermite polynomial representation is adapted as a new way to represent certain finite fields of characteristic three. We give the multiplication method to multiply two elements of F-3n in the Hermite polynomial representation with subquadratic computational complexity by using a divide-and-conquer idea. We show that in some cases there is a set of irreducible binomials in the Hermite polynomial representation to obtain modular reduction with a lower addition complexity than the standard p...
On the Orthogonality of q-Classical Polynomials of the Hahn Class
Alvarez-Nodarse, Renato; Adiguzel, Rezan Sevinik; Taşeli, Hasan (2012-01-01)
The central idea behind this review article is to discuss in a unified sense the orthogonality of all possible polynomial solutions of the q-hypergeometric difference equation on a q-linear lattice by means of a qualitative analysis of the q-Pearson equation. To be more specific, a geometrical approach has been used by taking into account every possible rational form of the polynomial coefficients in the q-Pearson equation, together with various relative positions of their zeros, to describe a desired q-wei...
Simple groups of finite morley rank with a tight automorphism whose centralizer is pseudofinite
Uğurlu, Pınar; Berkman, Ayşe; Department of Mathematics (2009)
This thesis is devoted to the analysis of relations between two major conjectures in the theory of groups of finite Morley rank. One of them is the Cherlin-Zil'ber Algebraicity Conjecture which states that infinite simple groups of finite Morley rank are isomorphic to simple algebraic groups over algebraically closed fields. The other conjecture is due to Hrushovski and it states that a generic automorphism of a simple group of finite Morley rank has pseudofinite group of fixed points. Hrushovski showed tha...
The use of dual reciprocity boundary element method in coupled thermoviscoelasticity
Baranoglu, Besim; Mengi, Yalcin (Elsevier BV, 2006-01-01)
A boundary element formulation is presented in a unified form for the analysis of thermoviscoelasticity problems. The formulation contains the thermoelastic material as a special case. The boundary-only nature of boundary element method is retained through the use of particular integral method; where the particular solutions are evaluated with the aid of dual reciprocity approximation. The proposed formulation can be used in both coupled and uncoupled thermoviscoelasticity analyses, and it permits performin...
Citation Formats
S. Z. A. Gok, “On the Interval Baker-Thompson Rule,” Journal of Applied Mathematics, pp. 1–5, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51225.