Makale Koleksiyonu
Recent Submissions
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Open book decompositions of links of quotient surface singularities and support genus problem
(American Institute of Mathematical Sciences, 2019)Abstract: In this paper we write explicitly the open book decompositions of links of quotient surface singularities supporting the corresponding unique Milnor fillable contact structure. The page-genus of these Milnor open ... -
Maximal sectorial differential operators for first order
(2015)In this study, the maximal sectorial linear relations are described. Then, the discreteness of the spectrum of the linear maximal sectorial operators and asymptotical behavior of the eigenvalues of such operators in terms ... -
On the spectrums of some class of selfadjoint singular differential operators
(Ankara University, 2016)Abstract. In this work, based on the Everitt-Zettl and Calkin-Gorbachuk methods in terms of boundary values all selfadjoint extensions of the minimal operator generated by some linear singular multipoint symmetric ... -
Some Korovkin type results via power series method in modular spaces
(Ankara University, 2016)Abstract. In this paper, we obtain a Korovkin type approximation result for a sequence of positive linear operators deÖned on modular spaces with the use of power series method . We also provide an example which satisfies ... -
A trace formula for the sturm-liouville type equation with retarded argument
(Ankara Üniversitesi, 2017)In this paper, we deal with a discontinuous Sturm-Liouville problem with retarded argument and eigenparameter-dependent boundary conditions. We obtain the asymptotic formulas for the eigenvalues and the regularized trace ... -
The Arzelà-Ascoli theorem by means of ideal convergence
(De Gruyter, 2018)In this paper, using the concept of ideal convergence, which extends the idea of ordinary convergence and statistical convergence, we are concerned with the I-uniform convergence and the I-pointwise convergence of sequences ... -
Normal extensions of a singular differential operator on the right semi-axis
(Eurasian Mathematical Journal, 2014)In this work, based on the method of Everitt-Zettl and using the Calkin-Gorbachuk method, all normal extensions of the minimal operator generated by a linear singular formally normal differential-operator expression of the ... -
The regularized trace of Sturm–Liouville problem with discontinuities at two points
(Taylor and Francis Ltd., 2017)In this paper, we obtain a regularized trace formula for a Sturm–Liouville problem which has two points of discontinuity and also contains an eigenparameter in a boundary condition. © 2016 Informa UK Limited, trading as ... -
Some inequalities between functionals related to generalized limits
(Editura Academiei Romane, 2017)Recall that A-statistical core theorem determines a class of regular matrices for which lim sup(T x) ≤ stA − lim sup x for all x ∈ m. The main object of this paper is to study an inequality between functionals which is ... -
Approximation by positive linear operators in modular spaces by power series method
(Birkhauser Verlag AG, 2017)In the present paper, we study the problem of approximation to a function by means of positive linear operators in modular spaces in the sense of power series method. Indeed, in order to get stronger results than the ... -
Arbitrarily long factorizations in mapping class groups
(Oxford University Press, 2015)Abstract. On a compact oriented surface of genus g with n ≥ 1 boundary components, δ1, δ2, . . . , δn, we consider positive factorizations of the boundary multitwist tδ1 tδ2 · · ·tδn , where tδi is the positive Dehn twist ... -
Normal extensions of a singular multipoint differential operator of first order
(2012)Many problems arising in the modelling of processes of multi-particle quantum mechanics,in the quantum field theory,in the multipoint boundary value problems for the differential equations,in the physics of rigid bodies ... -
Selfadjoint extensions of a singular multipoint differential operator of first order
(2013)Many problems arising in the modelling of processes of multi-particle quantum mechanics,in the quantum field theory,in the multipoint boundary value problems for the differential equations,in the physics of rigid bodies ... -
Some results for max-product operators via power series method
(Univerzita Komenskeho, 2018)In this paper, we obtain an approximation theorem by max-product operators with the use of power series method which is more effective than ordinary convergence and includes both Abel and Borel methods. We also estimate ... -
A trace formula for discontinuous eigenvalue problem
(University of Nis, 2017)In this paper, we deal with a Sturm-Liouville problem which has discontinuity at one point and contains an eigenparameter in a boundary condition. We obtain a regularized trace formula for the problem. © 2017, University ... -
Korovkin type approximation theorems in weighted spaces via power series method
(Element D.O.O., 2018)In this paper we consider power series method which is also member of the class of all continuous summability methods. We study a Korovkin type approximation theorem for a sequence of positive linear operators acting from ... -
Sturm-Liouville problem with moving discontinuity points
(Springer International Publishing, 2015)In this paper, we present a new discontinuous Sturm-Liouville problem with symmetrically located discontinuities which are defined depending on a parameter in the neighborhood of an interior point in the interval. Also the ... -
A note on the generalized Matsumoto relation
(TUBİTAK, 2017)We give an elementary proof of a relation, first discovered in its full generality by Korkmaz, in the mapping class group of a closed orientable surface. Our proof uses only the well-known relations between Dehn twists. © TÜBİTAK. -
Some results concerning the summability of spliced sequences
(TUBİTAK, 2016)A spliced sequence is formed by combining all of the terms of two or more convergent sequences, in their original order, into a new spliced sequence. In this paper replacing convergent sequences by bounded sequences, we ... -
First order self-adjoint multipoint quasi-differential operators
(TÜBİTAK, 2018)In this paper, using the Calkin-Gorbachuk method, the general form of all self-adjoint operators generated by first order linear singular multipoint quasi-differential expressions in the direct sum of weighted Hilbert ...