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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 pagegenus 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 EverittZettl and CalkinGorbachuk 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 sturmliouville type equation with retarded argument
(Ankara Üniversitesi, 2017)In this paper, we deal with a discontinuous SturmLiouville problem with retarded argument and eigenparameterdependent boundary conditions. We obtain the asymptotic formulas for the eigenvalues and the regularized trace ... 
The ArzelàAscoli 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 Iuniform convergence and the Ipointwise convergence of sequences ... 
On operator GAconvex functions in Hilbert spaces
(American Institute of Physics Inc., 2018)In this paper, it is defined the operator GAconvex functions for continuous functions of selfadjoint operators in Hilbert spaces. And then it is obtained some new HermiteHadamard type inequalities for this class of ... 
Approximation to derivatives of functions by linear operators acting on weighted spaces by power series method
(Springer New York LLC, 2016)In this chapter, using power series method we study some Korovkin type approximation theorems which deal with the problem of approximating a function by means of a sequence of linear operators acting on weighted spaces. © ... 
Normal extensions of a singular differential operator on the right semiaxis
(Eurasian Mathematical Journal, 2014)In this work, based on the method of EverittZettl and using the CalkinGorbachuk method, all normal extensions of the minimal operator generated by a linear singular formally normal differentialoperator 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 Astatistical 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 multiparticle 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 multiparticle 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 maxproduct operators via power series method
(Univerzita Komenskeho, 2018)In this paper, we obtain an approximation theorem by maxproduct 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 SturmLiouville 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 ... 
SturmLiouville problem with moving discontinuity points
(Springer International Publishing, 2015)In this paper, we present a new discontinuous SturmLiouville 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 wellknown relations between Dehn twists. © TÜBİTAK.