Elif Çetin | Uludag University (original) (raw)
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Papers by Elif Çetin
Advances in Difference Equations, 2014
We define some finite sums which are associated with the Dedekind type sums and Hardy-Berndt type... more We define some finite sums which are associated with the Dedekind type sums and Hardy-Berndt type sums. The aim of this paper is to prove a reciprocity law for one of these sums. Therefore, we define a new function which is related to partial derivatives of the three-term polynomial relations. We give a partial differential equation (PDE) for this function. For some special values, this PDE reduces the three-term relations for Hardy-Berndt sums (cf. Apostol and Vu in Pac.
In this paper, derivatives of the product of Bernstein polynomials of the same and different degr... more In this paper, derivatives of the product of Bernstein polynomials of the same and different degrees are obtained. Also a recurrence formula for those polynomials together with some new properties are given.
Jcms: Journal of Common Market Studies, 2011
Advances in Difference Equations, 2014
We define some finite sums which are associated with the Dedekind type sums and Hardy-Berndt type... more We define some finite sums which are associated with the Dedekind type sums and Hardy-Berndt type sums. The aim of this paper is to prove a reciprocity law for one of these sums. Therefore, we define a new function which is related to partial derivatives of the three-term polynomial relations. We give a partial differential equation (PDE) for this function. For some special values, this PDE reduces the three-term relations for Hardy-Berndt sums (cf. Apostol and Vu in Pac.
In this paper, derivatives of the product of Bernstein polynomials of the same and different degr... more In this paper, derivatives of the product of Bernstein polynomials of the same and different degrees are obtained. Also a recurrence formula for those polynomials together with some new properties are given.
Jcms: Journal of Common Market Studies, 2011