Browsing Matematik by Author "Altunc, Cansu"

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On operator GA-convex functions in Hilbert spaces

Altunc, Cansu; Ozturk Mert, Rukiye; Unluyol, Erdal (AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 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 functions.
Some new Hermite-Hadamard type inequalities in terms of operator h-preinvex functions in Hilbert Space

Altunc, Cansu; Baskoy, Elif; Unluyol, Erdal (AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 2018)

In this paper, it is introduced the operator h-preinvex function. And then it is established some new Hermite-Hadamard type inequalities for continuous functions of selfadjoint operators.

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