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http://dx.doi.org/10.5831/HMJ.2022.44.2.244

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)
Publication Information
Honam Mathematical Journal / v.44, no.2, 2022 , pp. 244-258 More about this Journal
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.
Keywords
Convex function; Hermite-Hadamard's inequality; Holder-Iscan inequality; Improved power mean inequality;
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