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Jensen inequalities for P-class functions

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In this paper, we first give some characterizations for P-class functions. Then giving a Hermite–Hadamard type inequality for P-class functions, we prove equivalency of some significant metrics in normed linear… Click to show full abstract

In this paper, we first give some characterizations for P-class functions. Then giving a Hermite–Hadamard type inequality for P-class functions, we prove equivalency of some significant metrics in normed linear spaces. We also obtain an operator version of the Jensen inequality for P-class functions. Introducing operator (mid) P-class functions, we present some characterizations for such functions.

Keywords: class; jensen inequalities; inequalities class; class functions

Journal Title: Periodica Mathematica Hungarica
Year Published: 2018

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