Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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INEQUALITIES OF HERMITE-HADAMARD TYPE FOR n-TIMES DIFFERENTIABLE ARITHMETIC-HARMONICALLY FUNCTIONS

  • Kadakal, Huriye (Bayburt University, Faculty of Education, Department of Primary Education, Baberti Campus)
  • Received : 2022.01.25
  • Accepted : 2022.02.02
  • Published : 2022.06.25
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Abstract

In this work, by using an integral identity together with both the Hölder and the power-mean integral inequalities we establish several new inequalities for n-times differentiable arithmetic-harmonically-convex function. Then, using this inequalities, we obtain some new inequalities connected with means. In special cases, the results obtained coincide with the well-known results in the literature.

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References

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