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On operator GA-convex functions in Hilbert spaces

Ünlüyol, Erdal; Öztürk Mert, Rukiye; Altunç, Cansu (American Institute of Physics Inc., 2018)

In this paper, it is defined the operator GA-convex functions for continuous functions of self-adjoint operators in Hilbert spaces. And then it is obtained some new Hermite-Hadamard type inequalities for this class of ...
Approximation to derivatives of functions by linear operators acting on weighted spaces by power series method

Taş, Emre; Yurdakadim, Tuğba (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. © ...