Bayburt Üniversitesi BAP projeleri birimi
BAP [2022/69002-03]
In this study, by using an integral identity, Hölder integral inequality and modulus properties we obtain some new general inequalities of the Hermite-Hadamard and Bullen type for functions whose derivatives in absolute value at certain power are arithmetically harmonically (AH) convex. In the last part of the article, applications including arithmetic mean, geometric mean, harmonic mean, logarithmic mean and p-logarithmic mean, which are some special means of real numbers, are given by using arithmetic harmonically convex functions.
Convex function Arithmetic-harmonically convex function Hermite-Hadamard and Bullen type inequality.
BAP [2022/69002-03]
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Natural Sciences |
Authors | |
Project Number | BAP [2022/69002-03] |
Publication Date | September 30, 2022 |
Submission Date | April 27, 2022 |
Acceptance Date | September 15, 2022 |
Published in Issue | Year 2022 |